100 Best Algebra Books of All Time
We've researched and ranked the best algebra books in the world, based on recommendations from world experts, sales data, and millions of reader ratings. Learn more
Featuring recommendations from Nassim Nicholas Taleb, Bret Victor, Eric Weinstein, and 8 other experts. 1
"I have discovered a truly marvelous proof, which this margin is too narrow to contain". With these tantalizing words the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple, yet the finest mathematical minds would be baffled for more than three and a half centuries.Fermat's Last Theorem became the Holy Grail of mathematics. Whole and colorful lives were devoted, and even sacrificed, to finding a solution. Leonhard Euler, the greatest mathematician of the 18th century, had to... more
Sarah-Jayne BlakemoreThe book is great because Simon Singh has this ability to write about the driest and most complex scientific or mathematical concepts and issues, and somehow make them come alive. (Source)
Kirk BorneNew Perspective on Fermat's Last Theorem: https://t.co/YeaHQ6iadB by @granvilleDSC @DataScienceCtrl #abdsc #Mathematics See the best-selling book "Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem": https://t.co/dqenmvUw0A by @SLSingh https://t.co/deyMhQTQLU (Source)
2
Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.
Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel... more
Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel... more
John UrschelI hope they enjoy it as much as I did. If you or someone you know is studying Calculus, this book is highly recommended. https://t.co/s2yVt6SwTx (Source)
Kirk Borne"Infinite Powers: How Calculus Reveals the Secrets of the Universe" book by @stevenstrogatz https://t.co/wy91xAEqlS Great #Mathematics book that explores the History of Modern Science from this amazing perspective! https://t.co/M4obTvpnbe (Source)
Nigel ShadboltInfinite Powers is a wonderful motivational for anyone taking a course in calculus. For those readers who remember calculus with dread from maths classes of yore, here is a text that explains just why the material has always had such a key place in our curricula. It charts a history of ideas that sought to make sense of the world through mathematics—to develop methods that find the deep laws and... (Source)
3
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)
4
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
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
5
From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum mechanics.
First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics.
In this follow-up to the New York Times best-selling The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic... more
First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics.
In this follow-up to the New York Times best-selling The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic... more
Recommended by Eric Weinstein, and 1 others. Eric Weinstein[Eric Weinstein recommended this book on Twitter.] (Source)
7
CHECK OUT THE NEW, IMPROVED SECOND EDITION OF THIS BOOK. COMPLETELY EDITED WITH EXTRA QUIZZES FOR EACH CHAPTER.
No More Tears Algebra... Written by an author who believes that all students can succeed in Algebra. This includes those who have struggled with math in the past. A video tutorial for each lesson taught by the author is included. Super Algebra Book + Video Tutorials = Super Success in Algebra ALSO INCLUDES A COMPLETE REVIEW OF PRE-ALGEBRA!
... more
No More Tears Algebra... Written by an author who believes that all students can succeed in Algebra. This includes those who have struggled with math in the past. A video tutorial for each lesson taught by the author is included. Super Algebra Book + Video Tutorials = Super Success in Algebra ALSO INCLUDES A COMPLETE REVIEW OF PRE-ALGEBRA!
... more
8
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications.
An introductory chapter traces concepts of abstract algebra from their historical... more
An introductory chapter traces concepts of abstract algebra from their historical... more
9
The winning equation for success in algebra is practice, practice, practice!
This book will help you develop skills in algebra. Inside are numerous lessons to help you better understand the subject. These lessons are accompanied by hundreds of exercises to practice what you've learned, along with a complete answer key to check your work.
Throughout this book you will learn the terms to help you understand algebra, and you will expand your knowledge of the subject through dozens of sample problems and their solutions. With the lessons in this book, you... more
This book will help you develop skills in algebra. Inside are numerous lessons to help you better understand the subject. These lessons are accompanied by hundreds of exercises to practice what you've learned, along with a complete answer key to check your work.
Throughout this book you will learn the terms to help you understand algebra, and you will expand your knowledge of the subject through dozens of sample problems and their solutions. With the lessons in this book, you... more
10
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings.
* The emphasis throughout has been to... more
* The emphasis throughout has been to... more
Don't have time to read the top Algebra 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.
11
". . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book Review
This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics... more
This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics... more
Nassim Nicholas TalebThere is something admirable about the school of the Russians: they are thinkers doing math, with remarkable clarity, minimal formalism, and total absence of unnecessary pedantry one finds in more modern texts (in the post Bourbaki era). This is of course surprising as one would have expected the exact opposite from the products of the communist era. Mathematicians should be using this book as a... (Source)
12
This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of... more
13
Practical Algebra If you studied algebra years ago and now need arefresher course in order to use algebraic principles on the job, or if you're a student who needs an introduction to the subject, here's the perfect book for you. Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn:
* The basic approach and application of algebra to problemsolving
* The number system (in a much broader way than you have known itfrom... more
* The basic approach and application of algebra to problemsolving
* The number system (in a much broader way than you have known itfrom... more
15
Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic. less
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With Barron’s, learning algebra becomes fun. Painless Algebra defines algebraic terms, shows students how to avoid pitfalls in calculation, presents painless methods for understanding and graphing equations, and makes problem-solving fun.
Geared toward middle school– and high school–level learners, Painless Algebra takes a lighthearted, humorous approach to learning vocab and is ideal for students who find it confusing, or who just need a little extra help.
Students can test their learning progress with quizzes and “Brain Ticklers”, plus additional games... more
Geared toward middle school– and high school–level learners, Painless Algebra takes a lighthearted, humorous approach to learning vocab and is ideal for students who find it confusing, or who just need a little extra help.
Students can test their learning progress with quizzes and “Brain Ticklers”, plus additional games... more
18
NUMBERS, OPERATIONS & MEASUREMENTS This fantastic overview of fractions, ratios, proportions, properties and more is great for middle and high school students. It will help boost math confidence and test scores.
It includes information on:
symbols
place value
roman numerals
decimal operations
integer operations
fraction operations
factorization
greatest common factors & least common multiples
scientific notation
ratios & proportions
more
It includes information on:
symbols
place value
roman numerals
decimal operations
integer operations
fraction operations
factorization
greatest common factors & least common multiples
scientific notation
ratios & proportions
more
19
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates... more
20
This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered... more
Don't have time to read the top Algebra 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.
21
"Dancing With The Stars" contestant Danica McKellar's (Math Doesn't Suck, Kiss My Math, Girls Get Curves) New York Times bestseller tackles the most feared of all math classes: Algebra!
Algebra: The word alone has been known to strike fear in the hearts of even the best students, but help is here! With her two earlier books, actress and math genius Danica McKellar shattered the "math nerd" stereotype and empowered girls to conquer middle-school math and pre- algebra. Sizzling with McKellar's trademark sass and style, Hot X: Algebra Exposed now shows... more
Algebra: The word alone has been known to strike fear in the hearts of even the best students, but help is here! With her two earlier books, actress and math genius Danica McKellar shattered the "math nerd" stereotype and empowered girls to conquer middle-school math and pre- algebra. Sizzling with McKellar's trademark sass and style, Hot X: Algebra Exposed now shows... more
22
New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout. less
23
This translation of the 1987 German edition is an introduction into the classical parts of algebra with a focus on fields and Galois theory. It discusses nonstandard topics, such as the transcendence of pi, and new concepts are defined in the framework of the development of carefully selected problems. It includes an appendix with exercises and notes on the previous parts of the book, and brief historical comments are scattered throughout. less
26
This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory. less
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Algebra II For Dummies, 2nd Edition (9781119543145) was previously published as Algebra II For Dummies, 2nd Edition (9781119090625). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
Your complete guide to acing Algebra II
Do quadratic equations make you queasy? Does the mere thought of logarithms make you feel lethargic? You're not alone! Algebra can induce anxiety in the best of us, especially for the masses that have... more
Your complete guide to acing Algebra II
Do quadratic equations make you queasy? Does the mere thought of logarithms make you feel lethargic? You're not alone! Algebra can induce anxiety in the best of us, especially for the masses that have... more
28
"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS
"The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS
This book is intended as a basic text for a one-year course in algebra at the... more
"The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS
This book is intended as a basic text for a one-year course in algebra at the... more
29
The second edition of a book designed to introduce mathematics students to abstract algebra. less
Recommended by Eric Weinstein, and 1 others. Eric Weinstein[Eric Weinstein recommended this book on Twitter.] (Source)
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The only way to learn algebra is to do algebra problems. A lot of them. Sorry!
And that's what you get here--more algebra problems than your worst nightmare--but with a BIG difference. I've been through the whole book and made a ton of notes, so you get...
* Really detailed answers (no more skipped steps)
* Extra explanations that make what's baffling perfectly clear
* Pointers to other problems that show skills you need
With a thousand problems, all of the major players are here: linear equations and inequalities, polynomials,... more
And that's what you get here--more algebra problems than your worst nightmare--but with a BIG difference. I've been through the whole book and made a ton of notes, so you get...
* Really detailed answers (no more skipped steps)
* Extra explanations that make what's baffling perfectly clear
* Pointers to other problems that show skills you need
With a thousand problems, all of the major players are here: linear equations and inequalities, polynomials,... more
Don't have time to read the top Algebra 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
A funny, insightful, and self-contained guide to Einstein's relativity theory and classical field theories--including electromagnetism
Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any... more
Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any... more
32
This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given... more
33
The study of idempotent elements in group algebras (or, more generally, the study of classes in the K-theory of such algebras) originates from geometric and analytic considerations. For example, C.T.C. Wall [72] has shown that the problem of deciding whether a ?nitely dominated space with fundamental group? is homotopy equivalent to a ?nite CW-complex leads naturally to the study of a certain class in the reduced K-theoryK (Z?) of the group ringZ?. 0 As another example, consider a discrete groupG which acts freely, properly discontinuously, cocompactly and isometrically on a Riemannian... more
34
Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests. Chapter I contains a brief but substantial introduction to lattices, and to the close connection between complete lattices and closure operators. In particular,... more
35
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this... more
36
Master expositor Paul Halmos presents Linear Algebra in the pure axiomatic spirit. He writes "My purpose in this book is to treat linear transformations on finite dimensional vector spaces by the methods of more general theories. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications, and to do so in a language that gives away the trade secrets ...." This text is an ideal supplement to modern treatments of Linear Algebra. "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general... more
37
This is the SOLUTIONS MANUAL ONLY for Art of Problem Solving's Prealgebra textbook. Prealgebra prepares students for the rigors of algebra, and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8. Topics covered in the book include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals),... more
38
Algebra 2 is the advanced QuickStudy guide specially designed for students who are already familiar with Algebra 1.
6-page laminated guide includes:
- real number lines
- graphing & lines
- types of functions
- sequences & series
- conic sections
- problems & solutions
- and much more less
6-page laminated guide includes:
- real number lines
- graphing & lines
- types of functions
- sequences & series
- conic sections
- problems & solutions
- and much more less
39
This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems. less
40
Graduate mathematics students will find this book an easy-to-follow, step-by-step guide to the subject. Rotman's book gives a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this new edition the book has been updated and revised throughout and new material on sheaves and cup products has been added. The author has also included material about homotopical algebra, alias K-theory. Learning homological algebra is a two-stage affair. First, one must learn the language of Ext and Tor. Second, one must be able to compute these things... more
Don't have time to read the top Algebra 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.
41
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering... more
42
FOCUSED PRACTICE: The Spectrum Algebra Workbook for Sixth through Eighth Grade provides focused practice in math mastery for children ages 11 through 14. This 128-page, nine-chapter workbook keeps kids at the top of their math game using progressive practice, math in everyday settings, and tests to monitor progress.
CORRELATED TO CURRENT STATE STANDARDS: This engaging workbook focuses on middle school algebra concepts like equalities, inequalities, factors, fractions, proportions, functions, and more.
WHAT’S INSIDE: Includes lessons and exercises... more
CORRELATED TO CURRENT STATE STANDARDS: This engaging workbook focuses on middle school algebra concepts like equalities, inequalities, factors, fractions, proportions, functions, and more.
WHAT’S INSIDE: Includes lessons and exercises... more
43
A world-class mathematician and regular contributor to the New York Times hosts a delightful tour of the greatest ideas of math, revealing how it connects to literature, philosophy, law, medicine, art, business, even pop culture in ways we never imagined
Did O.J. do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.
Math underpins everything in the cosmos,... more
Did O.J. do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.
Math underpins everything in the cosmos,... more
44
Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal... more
Recommended by Eric Weinstein, and 1 others. Eric Weinstein[Eric Weinstein recommended this book on Twitter.] (Source)
45
This book is designed towards mastering the Iowa Algebra Aptitude Test (IAAT), a placement test which allows students to demonstrate their readiness and ability to succeed in Algebra 1. The book contains a review of essential theorems specific to the IAAT: Pre-Algebraic Number Skills and Concepts, Mathematical Data Interpretation and Analysis, Representing Relationships, and Symbols. There are 7 full-length math tests with detailed solutions and explanations for all questions. less
46
In this latest edition of the successful Cartoon Guide series, master cartoonist and former Harvard instructor Larry Gonick offers a complete and up-to-date illustrated course to help students understand and learn this core mathematical course taught in American schools.
Using engaging graphics and lively humor, Gonick covers all of the algebra essentials, including linear equations, polynomials, quadratic equations, and graphing techniques. He also offers a concise overview of algebra’s history and its many practical applications in modern life.
Combining Gonick’s... more
Using engaging graphics and lively humor, Gonick covers all of the algebra essentials, including linear equations, polynomials, quadratic equations, and graphing techniques. He also offers a concise overview of algebra’s history and its many practical applications in modern life.
Combining Gonick’s... more
47
Elemental
Ancient Greek mathematics meet modernist design
Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th-century mathematician Oliver Byrne employed the color scheme for his 1847 edition of Euclid's mathematical and geometric treatise Elements. Byrne's idea was to use color to make learning easier and "diffuse permanent knowledge." The result has been described as one of the oddest and most beautiful books of the 19th century.
The facsimile of... more
Ancient Greek mathematics meet modernist design
Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th-century mathematician Oliver Byrne employed the color scheme for his 1847 edition of Euclid's mathematical and geometric treatise Elements. Byrne's idea was to use color to make learning easier and "diffuse permanent knowledge." The result has been described as one of the oddest and most beautiful books of the 19th century.
The facsimile of... more
48
Treats the arithmetic theory of elliptic curves in its modern formulation through the use of basic algebraic number theory and algebraic geometry. This book outlines necessary algebro-geometric results and offers an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, and elliptic curves over finite fields. less
50
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence... more
Don't have time to read the top Algebra 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.
51
Joseph Gallian is a well-known active researcher and award-winning teacher. His Contemporary Abstract Algebra, 6/e, includes challenging topics in abstract algebra as well as numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings that give the subject a current feel and makes the content interesting and relevant for students. less
52
Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course. less
54
This math workbook, authored by Chris McMullen, Ph.D., is focused on essential prealgebra skills. It includes examples, plenty of practice problems, answers, and full solutions to most problems. Topics include: order of operations; PEMDAS; fractions, decimals, and percents; exponents and square roots; a beginning introduction to working with variables; ratios and rates; negative numbers; and other prealgebra skills. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series... more
56
This modern approach to homological algebra by two leading writers in the field is based on the systematic use of the language and ideas of derived categories and derived functors. It describes relations with standard cohomology theory and provides complete proofs. Coverage also presents basic concepts and results of homotopical algebra. This second edition contains numerous corrections. less
57
Linear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and genetics. For an example of linear algebra at work, one needs to look no further than the Google search engine, which relies upon linear algebra to rank the results of a search with respect to relevance. The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is... more
58
Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey?
Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.
More than 40 million... more
Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.
More than 40 million... more
60
Don't have time to read the top Algebra 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.
61
This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in... more
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Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three-volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects. less
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Linear algebra is the foundation of science and engineering. Knowledge of linear algebra is a prerequisite for studying statistics, machine learning, computer graphics, signal processing, chemistry, economics, and quantum mechanics. Indeed, linear algebra offers a powerful toolbox for modelling the real world.
The NO BULLSHIT guide to LINEAR ALGEBRA shows the connections between the computational techniques of linear algebra, their geometric interpretations, and the theoretical foundations. This university-level textbook contains lessons on linear algebra written in a style that is... more
The NO BULLSHIT guide to LINEAR ALGEBRA shows the connections between the computational techniques of linear algebra, their geometric interpretations, and the theoretical foundations. This university-level textbook contains lessons on linear algebra written in a style that is... more
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Master the fundamentals first for a smoother ride through math Basic Math & Pre-Algebra Workbook For Dummies is your ticket to finally getting a handle on math! Designed to help you strengthen your weak spots and pinpoint problem areas, this book provides hundreds of practice problems to help you get over the hump. Each section includes a brief review of key concepts and full explanations for every practice problem, so you'll always know exactly where you went wrong. The companion website gives you access to quizzes for each chapter, so you can test your... more
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Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles,... more
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Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory. less
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Boo! There is a mystery behind every door of the creepy haunted house. Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun! less
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"Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all...a well-written expository account of a very exciting area in mathematics." --THE MAA MATHEMATICAL SCIENCES DIGITAL LIBRARY less
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This volume presents modern algebra from first principles and is accessible to undergraduates or graduates. It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces. less
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In 1770, one of the founders of pure mathematics, Swiss mathematician Leonard Euler (1707-1783), published Elements of Algebra, a mathematics textbook for students. This edition of Euler's classic, published in 1822, is an English translation which includes notes added by Euler's tutor, Johann Bernoulli, and additions by Joseph-Louis Lagrange, both giants in eighteenth-century mathematics, as well as a short biography of Euler. Part 1 begins with elementary mathematics of determinate quantities and includes four sections on simple calculations (adding, subtracting, division, multiplication),... more
Don't have time to read the top Algebra 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.
71
This text and reference book on Category Theory, a branch of abstract algebra, is aimed not only at students of Mathematics, but also researchers and students of Computer Science, Logic, Linguistics, Cognitive Science, Philosophy, and any of the other fields that now make use of it. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of Category Theory understandable to this broad readership. Although it assumes... more
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This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and noncommutative and homological algebra. Solutions. 2006 edition.
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Today's Program for Tomorrow's Leaders
Trusted Content
Aligning the Common Core State Standards with decades of experience supporting students and teachers
Resources at your Fingertips
Providing a variety of tools and resources teachers are looking for in print and online
Online Anytime, Anywhere
Supporting today's students with digital resource available online anytime on any device.
less
Trusted Content
Aligning the Common Core State Standards with decades of experience supporting students and teachers
Resources at your Fingertips
Providing a variety of tools and resources teachers are looking for in print and online
Online Anytime, Anywhere
Supporting today's students with digital resource available online anytime on any device.
less
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UNLOCK THE SECRETS OF ALGEBRA I with THE PRINCETON REVIEW.
Algebra can be a daunting subject. That’s why our new High School Unlocked series focuses on giving you a wide range of key techniques to help you tackle subjects like Algebra I. If one method doesn't "click" for you, you can use an alternative approach to understand the concept or problem, instead of painfully trying the same thing over and over without success. Trust us -- unlocking the secrets of Algebra doesn't have to hurt!
With this book, you’ll discover the link between abstract... more
Algebra can be a daunting subject. That’s why our new High School Unlocked series focuses on giving you a wide range of key techniques to help you tackle subjects like Algebra I. If one method doesn't "click" for you, you can use an alternative approach to understand the concept or problem, instead of painfully trying the same thing over and over without success. Trust us -- unlocking the secrets of Algebra doesn't have to hurt!
With this book, you’ll discover the link between abstract... more
75
Earn College Credit with REA's Test Prep for CLEP® College Mathematics
Everything you need to pass the exam and get the college credit you deserve.
REA's CLEP® test preps are perfect for adults returning to college (or attending for the first time), military service members, high-school graduates looking to earn college credit, or home-schooled students with knowledge that can translate into college credit.
Our test prep for CLEP® College Mathematics and the free online tools that come with it, allow you to create a personalized CLEP® study plan that... more
Everything you need to pass the exam and get the college credit you deserve.
REA's CLEP® test preps are perfect for adults returning to college (or attending for the first time), military service members, high-school graduates looking to earn college credit, or home-schooled students with knowledge that can translate into college credit.
Our test prep for CLEP® College Mathematics and the free online tools that come with it, allow you to create a personalized CLEP® study plan that... more
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Algebra I For Dummies, 2nd Edition (9781119293576) was previously published as Algebra I For Dummies, 2nd Edition (9780470559642). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
Factor fearlessly, conquer the quadratic formula, and solve linear equations
There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English,... more
Factor fearlessly, conquer the quadratic formula, and solve linear equations
There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English,... more
77
Boost your chances of scoring higher at Algebra II
Algebra II introduces students to complex algebra concepts in preparation for trigonometry and calculus. In this new edition of Algebra II Workbook For Dummies, high school and college students will work through the types of Algebra II problems they'll see in class, including systems of equations, matrices, graphs, and conic sections. Plus, the book now comes with free 1-year access to chapter quizzes online!
A recent report by ACT shows that over a quarter of ACT-tested 2012 high school graduates did not... more
Algebra II introduces students to complex algebra concepts in preparation for trigonometry and calculus. In this new edition of Algebra II Workbook For Dummies, high school and college students will work through the types of Algebra II problems they'll see in class, including systems of equations, matrices, graphs, and conic sections. Plus, the book now comes with free 1-year access to chapter quizzes online!
A recent report by ACT shows that over a quarter of ACT-tested 2012 high school graduates did not... more
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*A proven system of teaching for teachers, parents, and students who want to learn on their own.
*Requires only 20 minutes per day.
*Presented in a simple format that everyone can understand.
*Each lesson flows smoothly and logically to the next.
*Each lesson is short, concise, and straight to the point.
*Each new topic is clearly explained.
*Lots of examples with step-by-step solutions.
*Each lesson includes valuable helpful hints.
*Review is built into each lesson. Students will retain what they have... more
*Requires only 20 minutes per day.
*Presented in a simple format that everyone can understand.
*Each lesson flows smoothly and logically to the next.
*Each lesson is short, concise, and straight to the point.
*Each new topic is clearly explained.
*Lots of examples with step-by-step solutions.
*Each lesson includes valuable helpful hints.
*Review is built into each lesson. Students will retain what they have... more
79
Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions.
From the reviews:
"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS less
From the reviews:
"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS less
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The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras is also described. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as... more
Don't have time to read the top Algebra 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.
81
For two-term undergraduate level courses in Algebra. This text's organizing principle is the interplay between groups and rings, where rings includes the ideas of modules. It contains basic definitions, complete and clear theorems and gives attention to the topics of algebraic geometry, computers, homology and representations. More than merely a succession of definition theorem proofs, this text puts results and ideas in context so that students can appreciate why a certain topic is being studied and where definitions originate. *Coverage of topics not usually found in other texts - e.g.... more
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The perfect companion to the No-Nonsense Algebra text.
Thousands of practice problems Specific practice for each lesson contained in No-Nonsense Algebra text Enhances understanding helps students build confidence Ensures that students master and retain what they have learned Includes a final review that covers all topics Excellent SAT test prep Solutions for every problem Includes a hand Algebra Resource Center
This book will provide the practice that is necessary to become successful in Algebra. Each lesson in this book... more
Thousands of practice problems Specific practice for each lesson contained in No-Nonsense Algebra text Enhances understanding helps students build confidence Ensures that students master and retain what they have learned Includes a final review that covers all topics Excellent SAT test prep Solutions for every problem Includes a hand Algebra Resource Center
This book will provide the practice that is necessary to become successful in Algebra. Each lesson in this book... more
83
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
This Schaum's Outline gives you
Practice problems with full... more
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
This Schaum's Outline gives you
Practice problems with full... more
84
From the Preface: "We have preferred to write a self-contained book which could be used in a basic graduate course of modern algebra. It is also with an eye to the student that we have tried to give full and detailed explanations in the proofs... We have also tried, this time with an eye to both the student and the mature mathematician, to give a many-sided treatment of our topics, not hesitating to offer several proofs of one and the same result when we thought that something might be learned, as to methods, from each of the proofs." less
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From the Preface: "topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra... the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered throughout the exposition. Thus, this volume can be used in part as an introduction to some basic concepts and the arithmetic foundations of algebraic geometry." less
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Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781119293637) was previously published as Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781118791981). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
Tips for simplifying tricky basic math and pre-algebra operations
Whether you're a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to... more
Tips for simplifying tricky basic math and pre-algebra operations
Whether you're a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to... more
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1,001 Algebra I Practice Problems For Dummies
Practice makes perfect--and helps deepen your understanding of algebra by solving problems
1,001 Algebra I Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in Algebra I For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in algebra. You start with some basic operations, move on to algebraic properties, polynomials, and quadratic equations, and finish up with graphing. Every... more
Practice makes perfect--and helps deepen your understanding of algebra by solving problems
1,001 Algebra I Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in Algebra I For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in algebra. You start with some basic operations, move on to algebraic properties, polynomials, and quadratic equations, and finish up with graphing. Every... more
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This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation... more
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For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous systems.
Major changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase transitions. Notes and remarks have been considerably augmented. less
Major changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase transitions. Notes and remarks have been considerably augmented. less
Don't have time to read the top Algebra 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.
91
Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results. less
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Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http: //mathsgi01.rutgers.edu/cgi-bin/wrap/gt... Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problem less
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In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains. less
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Used by hundreds of thousands of students each year
Also, check out our new title, No-Nonsense Algebra Practice Workbook.The perfect companion to the No-Nonsense Algebra text. Practice problems for each lesson in the text! A perfect combination to ensure mastery of all algebra topics.
Pre-Algebra Concepts includes free online video tutorials. One for each lesson in the book. Lessons are presented in a format that everyone can easily understand.
Each Lesson flows smoothly and logically to the next.
Each lesson is short, concise, and to the point.
... more
Also, check out our new title, No-Nonsense Algebra Practice Workbook.The perfect companion to the No-Nonsense Algebra text. Practice problems for each lesson in the text! A perfect combination to ensure mastery of all algebra topics.
Pre-Algebra Concepts includes free online video tutorials. One for each lesson in the book. Lessons are presented in a format that everyone can easily understand.
Each Lesson flows smoothly and logically to the next.
Each lesson is short, concise, and to the point.
... more
96
Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In the new edition of this broad introduction to the field, the authors address a number of select topics and describe their applications, illustrating the range and depth of their developments. A comprehensive set of exercises is included. less
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Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. The authors' goal has been to present and illustrate the main tools and ideas of algebraic graph theory, with an emphasis on current rather than classical topics. While placing a strong emphasis on concrete examples, the authors tried to keep the treatment self-contained. less
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This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included. less
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Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduate students or mathematicians in other fields wishing to learn quickly what algebraic geometry is all about.
This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to... more
This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to... more
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Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice. less
Don't have time to read the top Algebra 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.