100 Best Probability Books of All Time

We've researched and ranked the best probability books in the world, based on recommendations from world experts, sales data, and millions of reader ratings. Learn more

Featuring recommendations from Barack Obama, Malcolm Gladwell, Charles T. Munger, and 181 other experts.
1
A black swan is a highly improbable event with three principal characteristics: It is unpredictable; it carries a massive impact; and, after the fact, we concoct an explanation that makes it appear less random, and more predictable, than it was.

The astonishing success of Google was a black swan; so was 9/11. For Nassim Nicholas Taleb, black swans underlie almost everything about our world, from the rise of religions to events in our own personal lives.

Why do we not acknowledge the phenomenon of black swans until after they occur? Part of the answer, according to...
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Recommended by Bill Gates, Jeff Bezos, Simon Sinek, and 22 others.

Bill Gates[On Bill Gates's reading list in 2012.] (Source)

Jeff Bezos[From the book "The Everything Store: and the Age of Amazon"] “The scholar argues that people are wired to see patterns in chaos while remaining blind to unpredictable events, with massive consequences. Experimentation and empiricism trumps the easy and obvious narrative,” Stone writes. (Source)

James AltucherAnd throw in “The Black Swan” and “Fooled by Randomness”. “Fragile” means if you hit something might break. “Resilient” means if you hit something, it will stay the same. On my podcast Nassim discusses “Antifragility” – building a system, even on that works for you on a personal level, where you if you harm your self in some way it becomes stronger. That podcast changed my life He discusses... (Source)

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2
Which is more dangerous, a gun or a swimming pool? What do schoolteachers and sumo wrestlers have in common? Why do drug dealers still live with their moms? How much do parents really matter? What kind of impact did Roe v. Wade have on violent crime? Freakonomics will literally redefine the way we view the modern world.

These may not sound like typical questions for an economist to ask. But Steven D. Levitt is not a typical economist. He is a much heralded scholar who studies the stuff and riddles of everyday life -- from cheating and crime to sports and child rearing -- and whose...
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Malcolm GladwellI don’t need to say much here. This book invented an entire genre. Economics was never supposed to be this entertaining. (Source)

Daymond JohnI love newer books like [this book]. (Source)

James Altucher[James Altucher recommended this book on the podcast "The Tim Ferriss Show".] (Source)

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3

Thinking, Fast and Slow

Major New York Times bestseller
Winner of the National Academy of Sciences Best Book Award in 2012
Selected by the New York Times Book Review as one of the best books of 2011
A Globe and Mail Best Books of the Year 2011 Title
One of The Economist's 2011 Books of the Year
One of The Wall Street Journal's Best Nonfiction Books of the Year 2011
2013 Presidential Medal of Freedom Recipient

In the international bestseller, Thinking, Fast and Slow, Daniel Kahneman, the renowned psychologist and winner of the Nobel...
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Barack ObamaA few months ago, Mr. Obama read “Thinking, Fast and Slow,” by Daniel Kahneman, about how people make decisions — quick, instinctive thinking versus slower, contemplative deliberation. For Mr. Obama, a deliberator in an instinctive business, this may be as instructive as any political science text. (Source)

Bill Gates[On Bill Gates's reading list in 2012.] (Source)

Marc AndreessenCaptivating dive into human decision making, marred by inclusion of several/many? psychology studies that fail to replicate. Will stand as a cautionary tale? (Source)

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4
Factfulness: The stress-reducing habit of only carrying opinions for which you have strong supporting facts.

When asked simple questions about global trends—what percentage of the world’s population live in poverty; why the world’s population is increasing; how many girls finish school—we systematically get the answers wrong. So wrong that a chimpanzee choosing answers at random will consistently outguess teachers, journalists, Nobel laureates, and investment bankers.

In Factfulness, Professor of International Health and global TED phenomenon...
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Barack ObamaAs 2018 draws to a close, I’m continuing a favorite tradition of mine and sharing my year-end lists. It gives me a moment to pause and reflect on the year through the books I found most thought-provoking, inspiring, or just plain loved. It also gives me a chance to highlight talented authors – some who are household names and others who you may not have heard of before. Here’s my best of 2018... (Source)

Bill GatesThis was a breakthrough to me. The framework Hans enunciates is one that took me decades of working in global development to create for myself, and I could have never expressed it in such a clear way. I’m going to try to use this model moving forward. (Source)

Nigel WarburtonIt’s an interesting book, it’s very challenging. It may be over-optimistic. But it does have this startling effect on the readers of challenging widely held assumptions. It’s a plea to look at the empirical data, and not just assume that you know how things are now. (Source)

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5
Fooled by Randomness is a standalone book in Nassim Nicholas Taleb’s landmark Incerto series, an investigation of opacity, luck, uncertainty, probability, human error, risk, and decision-making in a world we don’t understand. The other books in the series are The Black Swan, Antifragile, and The Bed of Procrustes.

Now in a striking new hardcover edition, Fooled by Randomness is the word-of-mouth sensation that will change the way you think about business and the world. Nassim Nicholas Taleb–veteran trader, renowned risk expert, polymathic scholar,...
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James AltucherAnd throw in “The Black Swan” and “Fooled by Randomness”. “Fragile” means if you hit something might break. “Resilient” means if you hit something, it will stay the same. On my podcast Nassim discusses “Antifragility” – building a system, even on that works for you on a personal level, where you if you harm your self in some way it becomes stronger. That podcast changed my life He discusses... (Source)

Howard MarksReally about how much randomness there is in our world. (Source)

Anant JainThe five-book series, "Incerto", by Nassim Nicholas Taleb has had a profound impact on how I think about the world. There’s some overlap across the books — but you'll likely find the repetition helpful in retaining the content better. (Source)

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6

Outliers

The Story of Success

In this stunning new book, Malcolm Gladwell takes us on an intellectual journey through the world of "outliers"--the best and the brightest, the most famous and the most successful. He asks the question: what makes high-achievers different?

His answer is that we pay too much attention to what successful people are like, and too little attention to where they are from: that is, their culture, their family, their generation, and the idiosyncratic experiences of their upbringing. Along the way he explains the secrets of software billionaires, what it takes to be a great soccer player,...
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Bill Gates[On Bill Gates's reading list in 2011.] (Source)

James AltucherGladwell is not the first person to come up with the 10,000 hour rule. Nor is he the first person to document what it takes to become the best in the world at something. But his stories are so great as he explains these deep concepts. How did the Beatles become the best? Why are professional hockey players born in January, February and March? And so on. (Source)

Cat Williams-TreloarThe books that I've talked the most about with friends and colleagues over the years are the Malcolm Gladwell series of novels. Glorious stories that mix science, behaviours and insight. You can't go wrong with the "The Tipping Point", "Outliers", "Blink" or "David & Goliath". (Source)

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7

Antifragile

Things That Gain from Disorder

From the bestselling author of The Black Swan and one of the foremost philosophers of our time, Nassim Nicholas Taleb, a book on how some systems actually benefit from disorder.

In The Black Swan Taleb outlined a problem; in Antifragile he offers a definitive solution: how to gain from disorder and chaos while being protected from fragilities and adverse events. For what he calls the "antifragile" is one step beyond robust, as it benefits from adversity, uncertainty and stressors, just as human bones get stronger when subjected to stress and tension.

Taleb stands...
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James AltucherYou ask about success. To be successful you have to avoid being “fragile” – the idea that if something hurts you, you let collapse completely. You also have to avoid simply being resilient. Bouncing back is not enough. Antifragile is when something tries to hurt you and you come back stronger. That is real life business. That is real life success. Nassim focuses on the economy. But when I read... (Source)

Marvin Liaoeval(ez_write_tag([[250,250],'theceolibrary_com-leader-2','ezslot_7',164,'0','1'])); My list would be (besides the ones I mentioned in answer to the previous question) both business & Fiction/Sci-Fi and ones I personally found helpful to myself. The business books explain just exactly how business, work & investing are in reality & how to think properly & differentiate yourself. On... (Source)

Vlad TenevThe general concept is applicable to many fields beyond biology, for instance finance, economics and monetary policy. (Source)

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8
Esta apasionante lectura nos descubre la naturaleza de los procesos arbitrarios de la vida cotidiana y cambia para siempre la percepción que tenemos de ellos. En 1905 Albert Einstein publicó una impactante explicación sobre el movimiento browniano -el movimiento arbitrario de partículas- comparándolo con la clase de movimiento que se observaría en el caminar de un borracho. La comparación se convirtió desde entonces en una poderosa herramienta para entender el movimiento puramente arbitrario que, por definición, no tiene ningún modelo específico.
En este nuevo libro, Leonard Mlodinow...
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Recommended by David Spiegelhalter, Gabriel Coarna, and 2 others.

David SpiegelhalterThis is a general introduction to the history of probability and the way it comes into everyday life. It intersperses the historical development with modern applications, and looks at finance, sport, gambling, lotteries and coincidences. (Source)

Gabriel CoarnaLeonard Mlodinow's "The Drunkarkd's Walk" -more precisely, the section on the "Monty Hall" problem- totally changed how I look-at/think-about probabilities and choices in general; this has impacted almost every real-life choice I've made since I read this book. (Source)

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9
With the stock market breaking records almost daily, leaving longtime market analysts shaking their heads and revising their forecasts, a study of the concept of risk seems quite timely. Peter Bernstein has written a comprehensive history of man's efforts to understand risk and probability, beginning with early gamblers in ancient Greece, continuing through the 17th-century French mathematicians Pascal and Fermat and up to modern chaos theory. Along the way he demonstrates that understanding risk underlies everything from game theory to bridge-building to winemaking. less

Jason ZweigIn the book, he explores risk at every conceivable level – what it is mathematically and what it is psychologically, how it has played out historically, how people have thought to measure it and also to control it. (Source)

John Lanchesterit’s an absolutely fascinating, for-the-layman account of how humanity mastered risk and came to understand probability. (Source)

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10

In April 1956, a refitted oil tanker carried fifty-eight shipping containers from Newark to Houston. From that modest beginning, container shipping developed into a huge industry that made the boom in global trade possible. "The Box" tells the dramatic story of the container's creation, the decade of struggle before it was widely adopted, and the sweeping economic consequences of the sharp fall in transportation costs that containerization brought about.
Published on the fiftieth anniversary of the first container voyage, this is the first comprehensive history of the shipping...
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Bill GatesI picked this one up after seeing it on a Wall Street Journal list of good books for investors. It was first published in 1954, but it doesn’t feel dated (aside from a few anachronistic examples—it has been a long time since bread cost 5 cents a loaf in the United States). In fact, I’d say it’s more relevant than ever. One chapter shows you how visuals can be used to exaggerate trends and give... (Source)

Tobi LütkeWe all live in Malcolm’s world because the shipping container has been hugely influential in history. (Source)

Jason ZweigThis is a terrific introduction to critical thinking about statistics, for people who haven’t taken a class in statistics. (Source)

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11
One of Wall Street Journal's Best Ten Works of Nonfiction in 2012

New York Times Bestseller

"Not so different in spirit from the way public intellectuals like John Kenneth Galbraith once shaped discussions of economic policy and public figures like Walter Cronkite helped sway opinion on the Vietnam War…could turn out to be one of the more momentous books of the decade."
-New York Times Book Review

"Nate Silver's The Signal and the Noise is The Soul of a New Machine for the 21st century."
-Rachel Maddow, author of Drift

"A serious...
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Recommended by Bill Gates, and 1 others.

Bill GatesAnyone interested in politics may be attracted to Nate Silver’s The Signal and the Noise: Why So Many Predictions Fail—but Some Don't. Silver is the New York Times columnist who got a lot of attention last fall for predicting—accurately, as it turned out–the results of the U.S. presidential election. This book actually came out before the election, though, and it’s about predictions in many... (Source)

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12

Superforecasting

The Art and Science of Prediction

New York Times Bestseller

An Economist Best Book of 2015

"The most important book on decision making since Daniel Kahneman's Thinking, Fast and Slow."
Jason Zweig, The Wall Street Journal
 
Everyone would benefit from seeing further into the future, whether buying stocks, crafting policy, launching a new product, or simply planning the week’s meals. Unfortunately, people tend to be terrible forecasters. As Wharton professor Philip Tetlock showed in a landmark 2005 study, even...
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Sheil KapadiaRead the book Superforecasting, had a great conversation with @bcmassey and came up with seven ideas for how NFL teams can try to find small edges during the draft process. Would love to hear feedback on this one. https://t.co/PdN1fKCagl (Source)

Julia Galef[Has] some good advice on how to improve your ability to make accurate predictions. (Source)

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13
From the New York Times bestselling author of The Black Swan, a bold new work that challenges many of our long-held beliefs about risk and reward, politics and religion, finance and personal responsibility

In his most provocative and practical book yet, one of the foremost thinkers of our time redefines what it means to understand the world, succeed in a profession, contribute to a fair and just society, detect nonsense, and influence others. Citing examples ranging from Hammurabi to Seneca, Antaeus the Giant to Donald Trump, Nassim Nicholas Taleb shows how the willingness to...
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Ben HorowitzA book about the dynamics of how large-scale, highly random systems behave. (Source)

Marc AndreessenSkin in the game as conflict of interest, or as attaching one's livelihood to one's speech? Who to listen to, and why. Ideal counterpart to Philip Tetlock's Expert Political Judgment. (Source)

Daniel KahnemanChanged my view of how the world works. (Source)

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14

An Introduction to Statistical Learning

With Applications in R

An Introduction to Statistical Learning provides an accessible overview of the field of statistical learning, an essential toolset for making sense of the vast and complex data sets that have emerged in fields ranging from biology to finance to marketing to astrophysics in the past twenty years. This book presents some of the most important modeling and prediction techniques, along with relevant applications. Topics include linear regression, classification, resampling methods, shrinkage approaches, tree- based methods, support vector machines, clustering, and more. Color graphics and... more
Recommended by Roger D. Peng, and 1 others.

Roger D. PengThis book is written by a powerhouse of authors in the machine learning community, true authorities in the field. But beyond that, they’re also great writers. (Source)

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15

Probability Theory

Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information. less

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16
Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called “sexy.” From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools... more

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17
Today’s stock market is not for the faint of heart. At a time of frightening volatility, what is the average investor to do?


The answer: turn to Burton G. Malkiel’s advice in his reassuring, authoritative, gimmick-free, and perennially best-selling guide to investing. Long established as the first book to purchase before starting a portfolio or 401(k), A Random Walk Down Wall Street now features new material on “tax-loss harvesting,” the crown jewel of tax management; the current bitcoin bubble; and automated investment advisers; as well as a brand-new chapter on...
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John KayEssentially, the theme of Malkiel’s book was that you could, in effect, do investing yourself. (Source)

Michael HebenstreitIf you want to get into stock trading or in case you want to become an investor, then I definitely would recommend to read the book I already mentioned and in addition: A Random Walk Down Wall Street by Burton Malkiel. (Source)

Andrew W LoIt’s a wonderful read because it doesn’t presuppose any background knowledge of economics or finance…It’s had so much staying power. It was written in the 1970s, a bestseller when it came out, and it’s still a bestseller now. I recommend it to my MBA students today because it’s just a wonderful introduction to the field of finance. At the same time, it provides some very sensible advice for... (Source)

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18
The classic book on statistical graphics, charts, tables. Theory and practice in the design of data graphics, 250 illustrations of the best (and a few of the worst) statistical graphics, with detailed analysis of how to display data for precise, effective, quick analysis. Design of the high-resolution displays, small multiples. Editing and improving graphics. The data-ink ratio. Time-series, relational graphics, data maps, multivariate designs. Detection of graphical deception: design variation vs. data variation. Sources of deception. Aesthetics and data graphical displays.
This is the...
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Recommended by Bret Victor, Michael Okuda, and 2 others.

Michael OkudaEdward Tufte's classic book, The Visual Display of Quantitative Information is a fascinating, surprisingly readable treatise for anyone interested in infographics. When I hired artists for the Star Trek graphics dept, I sometimes asked them to read it.https://t.co/cK4GQqBDxp (Source)

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19
A complete guide to the theory and practical applications of probability theory

An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach...
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20

Chaos

Making a New Science

Few writers distinguish themselves by their ability to write about complicated, even obscure topics clearly and engagingly. In Chaos, James Gleick, a former science writer for the New York Times, shows that he resides in this exclusive category. Here he takes on the job of depicting the first years of the study of chaos--the seemingly random patterns that characterise many natural phenomena.

This is not a purely technical book. Instead, it focuses as much on the scientists studying chaos as on the chaos itself. In the pages of Gleick's book, the reader meets dozens of...

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Recommended by Pedro G Ferreira, Adam Maloof, and 2 others.

Pedro G FerreiraIt turns out that even simple equations can have such complicated behaviour that, in practice, it’s impossible to predict the outcome, which is described as ‘chaotic’. (Source)

Adam MaloofJames Gleick is a former science writer for the New York Times and in this book Gleick describes the science of chaos, and how complex systems can also be interpreted in terms of simple rules and simple (but interacting) behaviours. (Source)

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Don't have time to read the top Probability books of all time? Read Shortform summaries.

Shortform summaries help you learn 10x faster by:

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  • Cutting out the fluff: you focus your time on what's important to know
  • Interactive exercises: apply the book's ideas to your own life with our educators' guidance.
21

The Book of Why

The New Science of Cause and Effect

A Turing Award-winning computer scientist and statistician shows how understanding causality has revolutionized science and will revolutionize artificial intelligence
"Correlation is not causation." This mantra, chanted by scientists for more than a century, has led to a virtual prohibition on causal talk. Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality--the study of cause and effect--on a firm scientific basis. His work explains how we can know easy things,...
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Recommended by D.a. Wallach, Kirk Borne, and 2 others.

D.a. Wallach@EricTopol @yudapearl @bschoelkopf @MPI_IS I love @yudapearl 's book so much! Profound, heterodox. (Source)

Kirk Borne.@yudapearl wrote the awesome "Book of Why", but he recommends this fun and less #mathematics-heavy read >> his #AI lecture given in 1999: https://t.co/kNYIoJ8qcY #DataScience #MachineLearning #Statistics #BookofWhy #Causalinference #Bayes https://t.co/CNQlKP8cU3 (Source)

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22
In Super Bowl XLIX, Seahawks coach Pete Carroll made one of the most controversial calls in football history: With 26 seconds remaining, and trailing by four at the Patriots' one-yard line, he called for a pass instead of a hand off to his star running back. The pass was intercepted and the Seahawks lost. Critics called it the dumbest play in history. But was the call really that bad? Or did Carroll actually make a great move that was ruined by bad luck?

Even the best decision doesn't yield the best outcome every time. There's always an element of luck that you can't control, and...
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Charles DuhiggThrough wonderful storytelling and sly wit, Annie Duke has crafted the ultimate guide to thinking about risk. We can all learn how to make better decisions by learning from someone who made choices for a living, with millions on the line. (Source)

Marc AndreessenCompact guide to probabilistic domains like poker, or venture capital. Best articulation of "resulting", drawing bad conclusions from confusing process and outcome. Recommend for people operating in the real world. (Source)

Seth GodinBrilliant. Buy ten copies and give one to everyone you work with. It's that good. (Source)

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23
Remarkable selection of puzzlers, graded in difficulty, that illustrate both elementary and advanced aspects of probability. Selected for originality, general interest, or because they demonstrate valuable techniques, the problems are ideal as a supplement to courses in probability or statistics, or as stimulating recreation for the mathematically minded. Detailed solutions. Illustrated. less

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24
This book is written for high school and college students learning about probability for the first time. It will appeal to the reader who has a healthy level of enthusiasm for understanding how and why the various results of probability come about. All of the standard introductory topics in probability are covered: combinatorics, the rules of probability, Bayes' theorem, expectation value, variance, probability density, common distributions, the law of large numbers, the central limit theorem, correlation, and regression. Calculus is not a prerequisite, although a few of the problems do... more

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25
The thirty-five chapters in this book describe various judgmental heuristics and the biases they produce, not only in laboratory experiments but in important social, medical, and political situations as well. Individual chapters discuss the representativeness and availability heuristics, problems in judging covariation and control, overconfidence, multistage inference, social perception, medical diagnosis, risk perception, and methods for correcting and improving judgments under uncertainty. About half of the chapters are edited versions of classic articles; the remaining chapters are newly... more

Jonah LehrerThis is one of the most influential books in modern economics. (Source)

Adam RobinsonThis study should be taught at every business school in the country. (Source)

Adam RobinsonThis study should be taught at every business school in the country. (Source)

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26
Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a higher level of math competency, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating but inescapable field. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to... more
Recommended by Mike Rowe, and 1 others.

Mike RoweA good teacher will leave you educated. But a great teacher will leave you curious. Well, Barbara Oakley is a great teacher. Not only does she have a mind for numbers, she has a way with words, and she makes every one of them count (Source)

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27
This book introduces students to probability, statistics, and stochastic processes. It can be used by both students and practitioners in engineering, various sciences, finance, and other related fields. It provides a clear and intuitive approach to these topics while maintaining mathematical accuracy.

The book covers:


Basic concepts such as random experiments, probability axioms, conditional probability, and counting methods
Single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions,...
more

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28

Where Do We Go from Here

Chaos or Community?

In 1967, Dr. Martin Luther King, Jr., isolated himself from the demands of the civil rights movement, rented a house in Jamaica with no telephone, and labored over his final manuscript. In this prophetic work, which has been unavailable for more than ten years, he lays out his thoughts, plans, and dreams for America's future, including the need for better jobs, higher wages, decent housing, and quality education. With a universal message of hope that continues to resonate, King demanded an end to global suffering, asserting that humankind-for the first time-has the resources and technology to... more

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29
The Freakonomics of matha math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands

The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.

Math allows us to see the hidden structures underneath the messy and...
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Bill GatesThe writing is funny, smooth, and accessible -- not what you might expect from a book about math. What Ellenberg has written is ultimately a love letter to math. If the stories he tells add up to a larger lesson, it’s that 'to do mathematics is to be, at once, touched by fire and bound by reason' -- and that there are ways in which we’re all doing math, all the time. (Source)

Auston BunsenI’ve got a few, one book that really impacted me early on as someone coming from a middle-class family was “Rich dad, Poor dad”. Since then I’ve read many books but one that really stands out is “How not to be wrong” by Jordan Ellenberg which really reignited my appetite & appreciation for math. (Source)

Nick GanjuWritten for an audience of people who have historically been intimidated by math [...] and introduces things in a very simple way, and then works up to more complex concepts. (Source)

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30
From the world-famous inventor of fractal geometry, a revolutionary new theory that turns on its head our understanding of how markets work. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf, a rocky coastline or static in a computer connection to a few simple mathematical properties - to make the complex simple. With his fractal tools, Benoit Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time, a unique dimension and a wild kind of behaviour that makes them volatile, dangerous - and also... more

James Owen WeatherallWhat Mandelbrot realised early on, at the start of the 1960s, was that the kind of assumptions about statistics that everyone was making were wrong. (Source)

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Don't have time to read the top Probability books of all time? Read Shortform summaries.

Shortform summaries help you learn 10x faster by:

  • Being comprehensive: you learn the most important points in the book
  • Cutting out the fluff: you focus your time on what's important to know
  • Interactive exercises: apply the book's ideas to your own life with our educators' guidance.
31

Data Science with R

Recommended by Tim @Realscientists, and 1 others.

Tim @RealscientistsIf you are interested in learning programming, there are lots of great tutorials. For data analysis, R and the R 4 data science book is a great way to go https://t.co/zezYpG0TRL, and for general R syntax, there is the swirl learning package https://t.co/Tzfpnlgo3O /20 (Source)

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32
At the beginning of the twentieth century, H. G. Wells predicted that statistical thinking would be as necessary for citizenship in a technological world as the ability to read and write. But in the twenty-first century, we are often overwhelmed by a baffling array of percentages and probabilities as we try to navigate in a world dominated by statistics. Cognitive scientist Gerd Gigerenzer says that because we haven't learned statistical thinking, we don't understand risk and uncertainty. In order to assess risk -- everything from the risk of an automobile accident to the certainty or... more

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33
It’s the revolutionary math study guide just for middle school students from the brains behind Brain Quest.
    
Everything You Need to Ace Math . . . covers everything to get a student over any math hump: fractions, decimals, and how to multiply and divide them; ratios, proportions, and percentages; geometry; statistics and probability; expressions and equations; and the coordinate plane and functions.

The BIG FAT NOTEBOOK™ series is built on a simple and irresistible conceit—borrowing the notes from the smartest kid in class. There are five books in all,...
more

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35
James Gleick, the author of the best sellers Chaos and Genius, now brings us a work just as astonishing and masterly: a revelatory chronicle and meditation that shows how information has become the modern era’s defining quality—the blood, the fuel, the vital principle of our world.
 
The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born. From the invention of scripts and alphabets to the long-misunderstood talking drums of Africa, Gleick tells the story of information technologies that...
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Recommended by Nicholas Carr, and 1 others.

Nicholas CarrIf Standage’s is a small book focused on a particular technology and moment in time, Gleick’s is extraordinarily broad and sweeping. It’s a very large book, in which he tries – and succeeds in many ways I think – to tell the story of information in human history. Information breaks down into two different things in essence. On the one hand it is messages – things with meaning to human beings –... (Source)

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36
Who would have guessed that four minutes could change everything?

Today should be one of the worst days of seventeen-year-old Hadley Sullivan's life. Having missed her flight, she's stuck at JFK airport and late to her father's second wedding, which is taking place in London and involves a soon-to-be stepmother Hadley's never even met. Then she meets the perfect boy in the airport's cramped waiting area. His name is Oliver, he's British, and he's sitting in her row.

A long night on the plane passes in the blink of an eye, and Hadley and Oliver lose track of each other in...
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37
Art of Problem Solving Introduction to Counting and Probability Textbook and Solutions Manual 2-Book Set : Learn the basics of counting and probability from former USA Mathematical Olympiad winner David Patrick. Topics covered in the book include permutations, combinations, Pascal's Triangle, basic combinatorial identities, expected value, fundamentals of probability, geometric probability, the Binomial Theorem, and much more. The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help... more

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38

Probability with Martingales

This is a masterly introduction to the modern and rigorous theory of probability. The author adopts the martingale theory as his main theme and moves at a lively pace through the subject's rigorous foundations. Measure theory is introduced and then immediately exploited by being applied to real probability theory. Classical results, such as Kolmogorov's Strong Law of Large Numbers and Three-Series Theorem are proved by martingale techniques. A proof of the Central Limit Theorem is also given. The author's style is entertaining and inimitable with pedagogy to the fore. Exercises play a vital... more

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39
In 1956 two Bell Labs scientists discovered the scientific formula for getting rich. One was mathematician Claude Shannon, neurotic father of our digital age, whose genius is ranked with Einstein's. The other was John L. Kelly Jr., a Texas-born, gun-toting physicist. Together they applied the science of information theory—the basis of computers and the Internet—to the problem of making as much money as possible, as fast as possible.

Shannon and MIT mathematician Edward O. Thorp took the "Kelly formula" to Las Vegas. It worked. They realized that there was even more money to be made...
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Recommended by P. D. Mangan, and 1 others.

P. D. Mangan@MarquisDeMarche @natstewart5 Great book. (Source)

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40
There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis tractable and accessible to a wide audience. Doing Bayesian Data Analysis, A Tutorial Introduction with R and BUGS, is for first year graduate students or advanced undergraduates and provides an accessible approach, as all mathematics is explained intuitively and with concrete examples. It assumes only algebra and rusty calculus. Unlike other textbooks, this book begins with the basics, including essential concepts of probability and random... more

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41
Recommended by Sophie Scott, and 1 others.

Sophie ScottIf you were listening to #themathsoflife on today’s @laurenlaverne show and you’d like to know more about how we can misperceive numbers and magnitude, I recommend @JohnAllenPaulos and his brilliant book, Innumeracy. (Source)

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42
Since the 2014 publication of Introduction to Probability, Statistics, and Random Processes, many have requested the distribution of solutions to the problems in the textbook. This book contains guided solutions to the odd-numbered end-of-chapter problems found in the companion textbook. Student's Solutions Guide for Introduction to Probability, Statistics, and Random Processes has been published to help students better understand the subject and learn the necessary techniques to solve the problems.

Additional materials such as videos, lectures, and calculators are available at
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43
Bayes' rule appears to be a straightforward, one-line theorem: by updating our initial beliefs with objective new information, we get a new and improved belief. To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.

In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist...
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45
Probabilistic Deep Learning shows how probabilistic deep learning models gives readers the tools to identify and account for uncertainty and potential errors in their results.

Starting by applying the underlying maximum likelihood principle of curve fitting to deep learning, readers will move on to using the Python-based Tensorflow Probability framework, and set up Bayesian neural networks that can state their uncertainties.

Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications.
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46

Pattern Recognition and Machine Learning

Pattern recognition has its origins in engineering, whereas machine learning grew out of computer science. However, these activities can be viewed as two facets of the same field, and together they have undergone substantial development over the past ten years. In particular, Bayesian methods have grown from a specialist niche to become mainstream, while graphical models have emerged as a general framework for describing and applying probabilistic models. Also, the practical applicability of Bayesian methods has been greatly enhanced through the development of a range of approximate inference... more

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47
Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior. less

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48
"Should I take my umbrella?" "Should I buy insurance?" "Which horse should I bet on?" Every day ― in business, in love affairs, in forecasting the weather or the stock market questions arise which cannot be answered by a simple "yes" or "no." Many of these questions involve probability. Probabilistic thinking is as crucially important in ordinary affairs as it is in the most abstruse realms of science.
This book is the best nontechnical introduction to probability ever written. Its author, the late Dr. Warren Weaver, was a professor of mathematics, active in the Rockefeller and Sloan...
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49

Probability and Random Processes

This book gives an introduction to probability and its many practical application by providing a thorough, entertaining account of basic probability and important random processes, covering a range of important topics. Emphasis is on modelling rather than abstraction and there are new sections on sampling and Markov chain Monte Carlo, renewal-reward, queueing networks, stochastic calculus, and option pricing in the Black-Scholes model for financial markets. In addition, there are almost 400 exercises and problems relevant to the material. Solutions can be found in One Thousand Exercises in... more

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50

Second Chance Ranch

Do Squire and Kelly have enough patience and faith to make their second chance possible? After his deployment, injured and discharged Major Squire Ackerman returns to Three Rivers Ranch, anxious to prove himself capable of running the cattle operation so his parents can retire. Things would be easier if the ranch wasn't missing 1.6 million dollars, which forces Squire to hire Kelly, the girl who rejected his high school prom invitation, as his accountant. She's back in town with her four-year-old son, living in her parent's basement until she can get her life back together. With fresh ink on... more

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51
Using simple language and illustrative examples, this book comprehensively covers data management tasks that bridge the gap between raw data and statistical analysis. Rather than focus on clusters of commands, the author takes a modular approach that enables readers to quickly identify and implement the necessary task without having to access background information first. Each section in the chapters presents a self-contained lesson that illustrates a particular data management task via examples, such as creating data variables and automating error checking. The text also discusses common... more

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53

The Success Equation

Steve Burns@RampCapitalLLC @mjmauboussin I’m reading this now, great book! (Source)

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54

A Man for All Markets

The incredible true story of the card-counting mathematics professor who taught the world how to beat the dealer and, as the first of the great quantitative investors, ushered in a revolution on Wall Street.

A child of the Great Depression, legendary mathematician Edward O. Thorp invented card counting, proving the seemingly impossible: that you could beat the dealer at the blackjack table. As a result he launched a gambling renaissance. His remarkable success--and mathematically unassailable method--caused such an uproar that casinos altered the rules of the game to thwart...
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55

Probability Theory

A comprehensive, self-contained, yet easily accessible presentation of basic concepts, examining measure-theoretic foundations as well as analytical tools. Covers classical as well as modern methods, with emphasis on the strong interrelationship between probability theory and mathematical analysis, and with special stress on the applications to statistics and analysis. Includes recent developments, numerous examples and remarks, and various end-of-chapter problems. Notes and comments at the end of each chapter provide valuable references to sources and to additional reading material. less

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56
The book investigates the misapplication of conventional statistical techniques to fat tailed distributions and looks for remedies, when possible. Switching from thin tailed to fat tailed distributions requires more than "changing the color of the dress." Traditional asymptotics deal mainly with either n=1 or n=∞, and the real world is in between, under the "laws of the medium numbers"-which vary widely across specific distributions. Both the law of large numbers and the generalized central limit mechanisms operate in highly idiosyncratic ways outside the standard Gaussian or... more

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57

Data Analysis

A Bayesian Tutorial

Statistics lectures have been a source of much bewilderment and frustration for generations of students. This book attempts to remedy the situation by expounding a logical and unified approach to the whole subject of data analysis.

This text is intended as a tutorial guide for senior undergraduates and research students in science and engineering. After explaining the basic principles of Bayesian probability theory, their use is illustrated with a variety of examples ranging from elementary parameter estimation to image processing. Other topics covered include reliability analysis,...
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58
We are the safest humans who ever lived - the statistics prove it. And yet the media tells a different story with its warnings and scare stories. How is it possible that anxiety has become the stuff of daily life?

In this ground-breaking, compulsively readable book, Dan Gardner shows how our flawed strategies for perceiving risk influence our lives, often with unforeseen and sometimes-tragic consequences. He throws light on our paranoia about everything from paedophiles to terrorism and reveals how the most significant threats are actually the mundane risks to which we pay little...
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Recommended by Evan Solomon, and 1 others.

Evan SolomonJust did a short radio essay on risk and quoted your great book Risk: the science and politics of fear re reactions to corona virus. Recommended read to this day! Thanks Dan. https://t.co/7L70b5DYLB (Source)

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60
This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike. less

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61
From The New York Times bestselling author of THE ORGANIZED MIND and THIS IS YOUR BRAIN ON MUSIC, a primer to the critical thinking that is more necessary now than ever.

We are bombarded with more information each day than our brains can process—especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports revealing the ways lying weasels can use them.

It's...
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62

Chances Are . . .

Adventures in Probability

"The twin disciplines of probability and statistics underpin almost every modern science and sketch the shape of most human activities, whether politics, economics, medicine, law, or sports. For gamblers, risk buyers, forensic experts, magicians, artificial intelligence researchers, doctors, or military strategists, probability's tangle of incomplete certainties presents less a burden than an enthralling challenge. Gazing into apparent chaos, they discern patterns as elegant (and purposeful) as those of a bevy of migrating swans, Chances Are ... is their story: a millennia-long search for the... more

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63

Stochastic Processes

This definitive textbook provides a solid introduction to discrete and continuous stochastic processes, tackling a complex field in a way that instils a deep understanding of the relevant mathematical principles, and develops an intuitive grasp of the way these principles can be applied to modelling real-world systems. It includes a careful review of elementary probability and detailed coverage of Poisson, Gaussian and Markov processes with richly varied queuing applications. The theory and applications of inference, hypothesis testing, estimation, random walks, large deviations, martingales... more

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64
An eye-opening look at the ways we misjudge risk every day and a guide to making better decisions with our money, health, and personal lives

In the age of Big Data we often believe that our predictions about the future are better than ever before. But as risk expert Gerd Gigerenzer shows, the surprising truth is that in the real world, we often get better results by using simple rules and considering less information.

In Risk Savvy, Gigerenzer reveals that most of us, including doctors, lawyers, financial advisers, and elected officials,...
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65
How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates.

The Science of Conjecture provides a history of rational methods of...
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Recommended by Nassim Nicholas Taleb, and 1 others.

Nassim Nicholas TalebAs a practitioner of probability, I've had to read many books on the subject. Most are linear combinations of other books and ideas rehashed without real understanding that the idea of probability harks back to the Greek pisteuo (credibility) [and pithanon that led to probabile in latin] and pervaded classical thought. Almost all of these writers made the mistake to think that the ancients were... (Source)

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66

Probability and Measure

Now in its new third edition, Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Retaining the unique approach of the previous editions, this text interweaves material on probability and measure, so that probability problems generate an interest in measure theory and measure theory is then developed and applied to probability. Probability and Measure provides thorough coverage of probability, measure, integration, random variables and expected values, convergence of distributions, derivatives and... more

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67
This text is a comprehensive course in modern probability theory and its measure-theoretical foundations. Aimed primarily at graduate students and researchers, the book covers a wide variety of topics, such as limit theorems for sums of random variables, martingales, percolation, and Markov chains and electrical networks. less

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68
The definitive guide to statistical thinking
Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders.
In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge...
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Recommended by Dan Davies, and 1 others.

Dan Davies@amoralelite @d_spiegel It's a great book. I thought it was like coming home because I've always tried to avoid calculation due to the dyspraxia and it was just "yes, that's how you think about it" (Source)

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69
The former head of the Sante Fe Institute, visionary physicist Geoffrey West is a pioneer in the field of complexity science, the science of emergent systems and networks. The term “complexity” can be misleading, however, because what makes West’s discoveries so beautiful is that he has found an underlying simplicity that unites the seemingly complex and diverse phenomena of living systems, including our bodies, our cities and our businesses.

Fascinated by issues of aging and mortality, West applied the rigor of a physicist to the biological question of why we live as long as we...
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Recommended by Vinod Khosla, Azeem Azhar, and 2 others.

Vinod KhoslaThe physics behind biology, cities, economics and companies. Do they grow, scale and die by the same math equations? New insights that are enlightening and delightful. (Source)

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70

Probability (Graduate Texts in Mathematics) (v. 95)

This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, ergodic theory, weak convergence of probability measures, stationary stochastic processes, and the Kalman-Bucy filter. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for self-study. This new edition contains substantial revisions and updated references. The reader will find a... more

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71
Fun guide to learning Bayesian statistics and probability through unusual and illustrative examples.

Probability and statistics are increasingly important in a huge range of professions. But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that.

This book will give you a complete understanding of Bayesian statistics through simple explanations and un-boring examples. Find out the probability of UFOs landing in your garden, how likely Han Solo is to survive a...
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72

A First Course in Probability

This elementary introduction to the mathematical theory of probability is for students in mathematics, engineering, and the sciences who possess the prerequisite knowledge of elementary calculus. A software diskette provides an easy-to-use tool for students to derive probabilities for binomial. less

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73

Works on Paper

During the past several years, Eliot Weinberger's inventive prose has earned him a reputation as a candid social observer and penetrating essayist. Works on Paper is the first collection of his writings, twenty-one pieces that juxtapose the world as it is and the world as it is imagined-by artists, poets, historical figures, and ordinary people.
“Inventions of Asia”, the first section, deals primarily with how the West reinvents the East (and how the East invents itself): images of India circa 1492 (where Columbus thought he was going); Christian missionaries in sixteenth-century...
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74
A self-study guide for practicing engineers, scientists, and students, this book offers practical, worked-out examples on continuous and discrete probability for problem-solving courses. It is filled with handy diagrams, examples, and solutions that greatly aid in the comprehension of a variety of probability problems. less

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75
In The Improbability Principle, the renowned statistician David J. Hand argues that extraordinarily rare events are anything but. In fact, they’re commonplace. Not only that, we should all expect to experience a miracle roughly once every month.
     But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of “miracle” is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand...
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76
Each of us knows we’re different. We’re a little taller or shorter than the average, our salary is a bit higher or lower than the average, and we wonder about who it is that is buying the average-priced home. All around us, we think, are the average people—with the average height, the average salary and the average house.

But the average doesn’t just influence how we see ourselves—our entire social system has been built around this average-size-fits-all model. Schools are designed for the average student. Healthcare is designed for the average patient. Employers try to fill average...
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Recommended by Anne Dwane, and 1 others.

Anne DwaneIt does a great job exploring the opportunity for personalization in education, medicine and countless other fields — which will hopefully drive countless other opportunities. (Source)

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77
Most mathematical examples illustrate the truth of a statement; conversely, counterexamples demonstrate a statement's falsity if changing the conditions. Mathematicians have always prized counterexamples as intrinsically enjoyable objects of study as well as valuable tools for teaching, learning, and research. This third edition of the definitive book on counterexamples in probability and stochastic processes presents the author's revisions and corrections in addition to a substantial new appendix.
Suitable as a supplementary source for advanced undergraduates and graduate courses in the...
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78

Introduction to Linear Algebra

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: - A new chapter on singular values and singular vectors, including ways to analyze a matrix of data - A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages - A... more
Recommended by Eric Weinstein, and 1 others.

Eric Weinstein[Eric Weinstein recommended this book on Twitter.] (Source)

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79
Data Analysis Using Regression and Multilevel/Hierarchical Models is a comprehensive manual for the applied researcher who wants to perform data analysis using linear and nonlinear regression and multilevel models. The book introduces a wide variety of models, whilst at the same time instructing the reader in how to fit these models using available software packages. The book illustrates the concepts by working through scores of real data examples that have arisen from the authors' own applied research, with programming codes provided for each one. Topics covered include causal inference,... more

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80
Why would a casino try and stop you from losing? How can a mathematical formula find your future spouse? Would you know if a statistical analysis blackballed you from a job you wanted?Today, number crunching affects your life in ways you might never imagine. In this lively and groundbreaking new book, economist Ian Ayres shows how today's best and brightest organizations are analyzing massive databases at lightening speed to provide greater insights into human behavior. They are the Super Crunchers. From internet sites like Google and Amazon that know your tastes better than you do, to a... more

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81
The Book That Made Las Vegas Change the Rules
Over 1,000,000 Copies in Print


Edward O. Thorp is the father of card counting, and in this classic guide he shares the revolutionary point system that has been successfully used by professional and amateur card players for generations. This book provides:

o an overview of the basic rules of the game
o proven winning strategies ranging from simple to advanced
o methods to overcome casino counter measures
o ways to spot cheating
o charts and tables that clearly illustrate key concepts
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82

One Thousand Exercises in Probability

The companion volume to Probability and Random Processes, 3rd Edition this book contains 1000+ exercises on the subjects of elelmentary aspects of probability and random variables, sampling, Markov chains, convergence, stationary processes, renewals, queues, Martingales, Diffusion, Mathematical finanace and the Black-Scholes model.
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83
Treats advanced topics including spectral analysis of random processes and applications to signal detection, estimation, information theory and coding, reliability, and queuing theory. This book is intended as a review aid for professional license exams. less

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84

The Foundations of Statistics

Classic analysis of the subject and the development of personal probability; one of the greatest controversies in modern statistcal thought. New preface and new footnotes to 1954 edition, with a supplementary 180-item annotated bibliography by author. Calculus, probability, statistics, and Boolean algebra are recommended.
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Recommended by Graciela Chichilnisky, and 1 others.

Graciela ChichilniskyThis book is by a famous statistician who is now dead. Savage didn’t fall into the trap of DeGroot, who dismissed catastrophic risks. Instead he went to the other extreme. Savage’s approach can focus solely on rare events. So DeGroot underestimates rare events and Savage’s approach (which was very controversial at the time) can underestimate frequent events. That is no good either. (Source)

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85

Risk, Uncertainty and Profit

A timeless classic of economic theory that remains fascinating and pertinent today, this is Frank Knight's famous explanation of why perfect competition cannot eliminate profits, the important differences between "risk" and "uncertainty," and the vital role of the entrepreneur in profitmaking. Based on Knight's PhD dissertation, this 1921 work, balancing theory with fact to come to stunning insights, is a distinct pleasure to read. FRANK H. KNIGHT (1885-1972) is considered by some the greatest American scholar of economics of the 20th century. An economics professor at the University of... more

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86
This is an introductory textbook on probability and induction written by one of the world's foremost philosophers of science. The book has been designed to offer maximal accessibility to the widest range of students (not only those majoring in philosophy) and assumes no formal training in elementary symbolic logic. It offers a comprehensive course covering all basic definitions of induction and probability, and considers such topics as decision theory, Bayesianism, frequency ideas, and the philosophical problem of induction. The key features of the book are: * A lively and vigorous prose... more

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87

A Very Improbable Story

What are the odds?

Ethan wakes up one morning to find a very strange cat stuck on his head. The cat, Odds, refuses to budge until Ethan wins a game of probability. Without looking, Ethan must pick out a dime from his coin collection or two matching socks from his dresser, or do something else improbable. If he doesn't, Odds is there to stay, and Ethan has a 100% chance of missing his big soccer game.

A very improbable story about a challenging math concept.
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88

A Course in Probability Theory

Since its publication by Academic Press, tens of thousands of students have taken a probability course using this classic textbook. Chung's A Course in Probability Theory, now in its third edition, has sustained its popularity for nearly 35 years. Originally developed from Dr. Chung's course at Stanford University, this book continues to be a successful tool for instructors and students alike.

This third edition offers for the first time a supplement on Measure and Integral. This material has been used to supplement Dr. Chung's course for many years. It will assist students not...
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90

Probability & Measure Theory

Probability and Measure Theory, Second Edition, is a text for a graduate-level course in probability that includes essential background topics in analysis. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion.
* Clear, readable style
* Solutions to many problems presented in text
* Solutions manual for instructors
* Material new to the second edition on ergodic theory, Brownian motion, and convergence theorems used in statistics
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91
This book is a collection of lectures on probability theory and mathematical statistics. It provides an accessible introduction to topics that are not usually found in elementary textbooks. It collects results and proofs, especially on probability distributions, that are hard to find in standard references and are scattered here and there in more specialistic books.
The main topics covered by the book are as follows.
PART 1 - MATHEMATICAL TOOLS: set theory, permutations, combinations, partitions, sequences and limits, review of differentiation and integration rules, the Gamma and...
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92
This major new textbook is intended for students taking introductory courses in probability theory and statistical inference. The primary objective of this book is to establish the framework for the empirical modeling of observational (nonexperimental) data. The text is extremely student friendly, with pathways designed for semester usage, and although aimed primarily at students at second-year undergraduate level and above studying econometrics and economics, Probability Theory and Statistical Inference will also be useful for students in other disciplines that make extensive use of... more

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93
This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather... more

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94

Discovering Statistics Using R

The R version of Andy Field's hugely popular Discovering Statistics Using SPSS takes students on a journey of statistical discovery using the freeware R. Like its sister textbook, Discovering Statistics Using R is written in an irreverent style and follows the same ground-breaking structure and pedagogical approach. The core material is enhanced by a cast of characters to help the reader on their way, hundreds of examples, self-assessment tests to consolidate knowledge, and additional website material for those wanting to learn more. less

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95
An insightful, revealing history of the magical mathematics that transformed our world.

At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.

The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of...
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96

The Probability of Miracles

Dry, sarcastic, sixteen-year-old Cam Cooper has spent the last seven years in and out hospitals. The last thing she wants to do in the short life she has left is move 1,500 miles away to Promise, Maine - a place known for the miraculous events that occur there. But it's undeniable that strange things happen in Promise: everlasting sunsets; purple dandelions; flamingoes in the frigid Atlantic; an elusive boy named Asher; and finally, a mysterious envelope containing a list of things for Cam to do before she dies. As Cam checks each item off the list, she finally learns to believe - in love, in... more

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97
A leading data visualization expert explores the negative—and positive—influences that charts have on our perception of truth.

We’ve all heard that a picture is worth a thousand words, but what if we don’t understand what we’re looking at? Social media has made charts, infographics, and diagrams ubiquitous—and easier to share than ever. While such visualizations can better inform us, they can also deceive by displaying incomplete or inaccurate data, suggesting misleading patterns—or simply misinform us by being poorly designed, such as the confusing “eye of the...
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98

AP Statistics with Online Tests

Barron’s AP Statistics has in-depth content review, practice tests, and expert explanations to help students feel prepared on test day.

This edition includes:

Five full-length practice tests in the book
Three full-length practice tests online
One diagnostic test helps identify strengths and weaknesses so students can focus their study on areas for improvement
Comprehensive subject review for all test topics
Additional multiple-choice and free-response questions with answers
End-of-chapter quizzes for quick review with detailed answer...
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99
The Thinker's Toolkit is an invaluable resource for every manager or professional - a unique collection of proven, practical methods for simplifying any problem and making faster, better decisions every time. Thanks to the computer and communications revolutions, businesspeople today are inundated with more data than ever before. But making sense of the information and using it to make smart, profitable decisions has never been tougher. The Thinker's Toolkit comes to the rescue. Using real-life examples and exercises, Morgan Jones explains how to replace seat-of-the-pants decision-making... more

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100

Foundations of Modern Probability

This book is unique for its broad and yet comprehensive coverage of modern probability theory, ranging from first principles and standard textbook material to more advanced topics. In spite of the economical exposition, careful proofs are provided for all main results. Though primarily intended as a general reference for researchers and graduate students in probability theory and related areas of analysis, the book is also suitable as a text for graduate and seminar courses on all levels, from elementary to advanced. Numerous easy to more challenging exercises are provided, especially for the... more

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