100 Best Geometry Books of All Time

We've ranked the best geometry books using expert recommendations, sales data, and millions of reader ratings. At Shortform, we know books. Our book guides are the best in the world. Learn why.

Flatland: A Romance of Many Dimensions book cover1

Flatland: A Romance of Many Dimensions

Edwin A. Abbott

5.0
This masterpiece of science (and mathematical) fiction is a delightfully unique and highly entertaining satire that has charmed readers for more than 100 years. The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lin
The Greedy Triangle book cover2

The Greedy Triangle

Marilyn Burns, Gordon Silveria

4.8
In this lively introduction to shapes and polygons, a bored triangle is turned into a quadrilateral after a visit to the shapeshifter. Delighted with his new career opportunities--as a TV screen and a picture frame--he decides the more angles the better, until an accident teaches him a lesson. Includes special teaching section. Full color.
Euclid's Elements book cover3

Euclid's Elements

Euclid, Dana Densmore, T.L. Heath

4.7
Green Lion Press has prepared a new one-volume edition of T.L. Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for
Differential Forms in Algebraic Topology book cover4

Differential Forms in Algebraic Topology

Raoul Bott, Loring W. Tu

4.6
Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology
Sir Cumference and the First Round Table: A Math Adventure book cover5

Sir Cumference and the First Round Table: A Math Adventure

Cindy Neuschwander, Wayne Geehan

4.6
Join Sir Cumference, Lady Di of Ameter, and their son Radius for wordplay, puns, and problem solving in this geometry-packed math adventure. King Arthur was a good ruler, but now he needs a good ruler. What would you do if the neighboring kingdom were threatening war? Naturally, you'd call your strongest and bravest knights together to come up with a solution. But when your conference table causes
The Golden Ratio: The Story of Phi, the World's Most Astonishing Number book cover6

The Golden Ratio: The Story of Phi, the World's Most Astonishing Number

Mario Livio

4.5
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology book cover7

Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

Miranda Lundy

4.5
The quadrivium-the classical curriculum-comprises the four liberal arts of number, geometry, music, and cosmology. It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigat
Sir Cumference and the Dragon of Pi book cover8

Sir Cumference and the Dragon of Pi

Cindy Neuschwander, Wayne Geehan

4.4
Sir Cumference, Lady Di of Ameter, and Radius are back in their second Math Adventure! This time, a potion has changed Sir Cumference into a fire-breathing dragon. Can Radius change him back? Join Radius on his quest through the castle to solve a riddle that will reveal the cure. It lies in discovering the magic number that is the same for all circles.
Sacred Geometry: Philosophy and Practice book cover9

Sacred Geometry: Philosophy and Practice

Robert Lawlor

4.4
The thinkers of ancient Egypt, Greece and India recognized that numbers governed much of what they saw in their world and hence provided an approach to its divine creator. Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical exp
A Comprehensive Introduction to Differential Geometry, Vol. 1 book cover10

A Comprehensive Introduction to Differential Geometry, Vol. 1

Michael Spivak

4.4
Geometry Revisited book cover11

Geometry Revisited

H. S. M. Coxeter, Samuel L. Greitzer

4.4
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Ma
Mathematics: Its Content, Methods and Meaning book cover12

Mathematics: Its Content, Methods and Meaning

A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent’ev

4.4
". . . 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 devel
Grandfather Tang's Story book cover13

Grandfather Tang's Story

Ann Tompert, Robert Andrew Parker

4.4
Illus. in full color. "Drawing on a Chinese form of storytelling with seven
shapes cut from a square of paper, Tompert recounts the tale of two fox
fairies. Parker's pen-and-watercolor art adds drama, while the tangram insets
will motivate children to try their own versions. Ingenious."-- "Bulletin,
Center for Children's Books."
Modern Geometry -- Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields book cover14

Modern Geometry -- Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields

B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, R.G. Burns

4.3
This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This new edition offers substantial revisions, and the material is written in concrete lan
Mastering Essential Math Skills: Geometry book cover15

Mastering Essential Math Skills: Geometry

Richard W. Fisher

4.3
*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 inc
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace book cover16

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

Leonard Mlodinow

4.3
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hi
Perfect Square book cover17

Perfect Square

Michael Hall

4.3
A perfect square is transformed in this adventure story that will transport you far beyond the four equal sides of this square book.
Geometry and the Imagination book cover18

Geometry and the Imagination

David Hilbert, S. Cohn-Vossen

4.3
Suitable for beginners and experienced mathematicians, this book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. It offers a discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way.
Lost in Math: How Beauty Leads Physics Astray book cover19

Lost in Math: How Beauty Leads Physics Astray

Sabine Hossenfelder

4.3
A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science.

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in th
The Fractal Geometry of Nature book cover20

The Fractal Geometry of Nature

Benoit B. Mandelbrot

4.3
Clouds are not spheres, mountains are not cones, and lightning does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.

Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their ne
Painless Geometry book cover21

Painless Geometry

Lynette Long Ph.D.

4.3
The thought of solving theorems or postulates leaves some students quivering in their boots. . . but not anymore! This must-have guide takes the pain out of learning geometry once and for all. The author demonstrates how solving geometric problems amounts to fitting parts together to solve interesting puzzles. Students discover relationships that exist between parallel and perpendicular lines; ana
The Thirteen Books of the Elements, Books 1 - 2 book cover22

The Thirteen Books of the Elements, Books 1 - 2

Thomas L. Heath

4.3

Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: T

How to Solve It: A New Aspect of Mathematical Method book cover23

How to Solve It: A New Aspect of Mathematical Method

George Pólya

4.3
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have reli
Mathematical Models book cover24

Mathematical Models

H. Martyn Cundy, A. P. Rollett

4.3
This is the classic book of detailed instructions for making a wide variety of mathematical models of all kinds. Complete nets are given for all regular Archimedean and stellated polyhedra together with a number of interesting compounds. There are sections on paper folding, dissections, curve stitching, linkages, the drawing of loci and envelopes and the construction of plane tessellations. The vo
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra book cover25

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra

David A. Cox

4.3
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, t
Sir Cumference and the Great Knight of Angleland book cover26

Sir Cumference and the Great Knight of Angleland

Cindy Neuschwander, Wayne Geehan

4.3
Radius is on a quest to earn his knighthood! With only a circular medallion, a mysterious poem, and his own wits to guide him, he must find and rescue a missing king.
The Ancient Secret of the Flower of Life: Volume 1 book cover27

The Ancient Secret of the Flower of Life: Volume 1

Drunvalo Melchizedek

4.3
Once, all life in the universe knew the Flower of Life as the creation pattern. Now a new dawn is streaming through the windows of perception. This book is one of those windows. Drunvalo Melchizedek presents the Flower of Life Workshop, illuminating the mysteries of how we came to be.
A Comprehensive Introduction to Differential Geometry, Volume 2 book cover28

A Comprehensive Introduction to Differential Geometry, Volume 2

Michael Spivak

4.2
Sacred Geometry book cover29

Sacred Geometry

Miranda Lundy

4.2
Geometry is one of a group of special sciences - Number, Music and Cosmology are the others - found identically in nearly every culture on earth. In this small volume, Miranda Lundy presents a unique introduction to this most ancient and timeless of universal sciences.
Sacred Geometry demonstrates what happens to space in two dimensions - a subject last flowering in the art, science and architectur
Girls Get Curves: Geometry Takes Shape book cover30

Girls Get Curves: Geometry Takes Shape

Danica McKellar

4.2
New York Times bestselling author and mathemetician Danica McKellar tackles all the angles—and curves—of geometry

In her three previous bestselling books Math Doesn't Suck, Kiss My Math, and Hot X: Algebra Exposed!, actress and math genius Danica McKellar shattered the “math nerd” stereotype by showing girls how to ace their math classes and feel cool while doing it.

Sizzling with Danica's tradem
Sir Cumference and the Sword in the Cone book cover31

Sir Cumference and the Sword in the Cone

Cindy Neuschwander, Wayne Geehan

4.2
King Arthur has issued a challenge. The first knight to find the sword Edgecalibur will be the next king. Join Sir Cumference, Lady Di of Ameter, and their son, Radius, as they race to help their friend, Vertex, find the sword and discover the secrets of cubes, pyramids, cylinders, and cones.
The Ancient Secret of the Flower of Life: Volume 2 book cover32

The Ancient Secret of the Flower of Life: Volume 2

Drunvalo Melchizedek

4.2
The sacred Flower of Life pattern, the primary geometric generator of all physical form, is explored in even more depth in this volume, the second half of the Flower of Life workshop. The proportions of the human body, the nuances of human consciousness, the sizes and distances of the stars, planets and moons, even the creations of humankind, are all shown to reflect their origins in this beautifu
The Road to Reality: A Complete Guide to the Laws of the Universe book cover33

The Road to Reality: A Complete Guide to the Laws of the Universe

Roger Penrose

4.2
Roger Penrose, one of the most accomplished scientists of our time, presents the only comprehensive and comprehensible account of the physics of the universe. From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches
Spacetime and Geometry: An Introduction to General Relativity book cover34

Spacetime and Geometry: An Introduction to General Relativity

Sean Carroll

4.2
Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity. With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Eins
BioGeometry Signatures: Harmonizing the Body's Subtle Energy Exchange with the Environment book cover35

BioGeometry Signatures: Harmonizing the Body's Subtle Energy Exchange with the Environment

Ibrahim Karim Dr.Sc.

4.2
Based on over 45 years of research, BioGeometry Signatures are linear diagrams that help balance the subtle energy of body organs. The organ subtle energy patterns are accessed through BioGeometry Signatures placed externally in the body’s energy fields to create a connection through Resonance of Shape. “This is a book that will change the way you think about your body and your health. It shows th
Anathem book cover36

Anathem

Neal Stephenson

4.2
Fraa Erasmas is a young avout living in the Concent of Saunt Edhar, a sanctuary for mathematicians, scientists, and philosophers, protected from the corrupting influences of the outside "saecular" world by ancient stone, honored traditions, and complex rituals. Over the centuries, cities and governments have risen and fallen beyond the concent's walls. Three times during history's darkest epochs v
The Geometry of Hand-Sewing: A Romance in Stitches and Embroidery from Alabama Chanin and The School of Making book cover37

The Geometry of Hand-Sewing: A Romance in Stitches and Embroidery from Alabama Chanin and The School of Making

Natalie Chanin and Sun Young Park

4.2
As makers, we tend to learn different stitches over time without thinking much about how they relate to one another. But when Natalie Chanin and her Alabama Chanin and The School of Making teams began to look at needlework closely, they realized all stitches are based on geometric grid systems—and by using grids as guides, they could make learning stitches, even seemingly elaborate ones, as easy a
The Original Area Mazes: 100 Addictive Puzzles to Solve with Simple Math—and Clever Logic! book cover38

The Original Area Mazes: 100 Addictive Puzzles to Solve with Simple Math—and Clever Logic!

Naoki Inaba

4.2
The rules are simple . . . The math is easy . . .The puzzles get harder and harder!

Once you match wits with area mazes, you’ll be hooked! Your quest is to navigate a network of rectangles to find a missing value.

Just Remember:
Area = length × width
Use spatial reasoning to find helpful relationships
Whole numbers are all you need. You can always get the answer without using fractions!


Originally inv
The Geometry of Physics: An Introduction book cover39

The Geometry of Physics: An Introduction

Theodore Frankel

4.2
Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential to a better understanding of classical and modern physics and engineering. Key highlights of his new edition are the inclusion of three new appendices that cover symmetries, quarks, and meson masses; representations a
GRE Prep 2020-2021: 4 Hours of Complete GRE Practice Tests with Answers & Explanations! Proven Strategies to Maximize Your Score (Graduate School Test Preparation) book cover40

GRE Prep 2020-2021: 4 Hours of Complete GRE Practice Tests with Answers & Explanations! Proven Strategies to Maximize Your Score (Graduate School Test Preparation)

Gary Hill

4.2
Kiselev's Geometry / Book II. Stereometry book cover41

Kiselev's Geometry / Book II. Stereometry

A. P. Kiselev, Alexander Givental

4.2
What's Your Angle, Pythagoras? A Math Adventure book cover42

What's Your Angle, Pythagoras? A Math Adventure

Julie Ellis, Phyllis Hornung

4.2
Introduction to Geometry book cover43

Introduction to Geometry

H. S. M. Coxeter

4.2
This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self-contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second
Sir Cumference and the Isle of Immeter book cover44

Sir Cumference and the Isle of Immeter

Cindy Neuschwander, Wayne Geehan

4.2
When young Per visits her uncle Sir Cumference and his family, she learns how to play the game, "Inners and Edges." After she finds a clue linking the game to the mysterious castle on the island of Immeter, she must figure out how to find the perimeter and area of a circle to unlock the island's secret.

Math skills taught include finding the area and perimeter of a rectangle and a circle. Introduce
Regular Polytopes book cover45

Regular Polytopes

H. S. M. Coxeter

4.2
Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.
Riemann Surfaces book cover46

Riemann Surfaces

Hershel M. Farkas, Irwin Kra

4.2
This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch
Shapes, Shapes, Shapes book cover47

Shapes, Shapes, Shapes

Tana Hoban

4.2
Whenever you are -- inside or outside -- there are shapes to discover. And with Tana Hoban's help you will begin to see them. Look around. How many circles, squares, stars, triangles, hearts, and rectangles can you see?

They are everywhere!
Continuous Symmetry: From Euclid to Klein book cover48

Continuous Symmetry: From Euclid to Klein

William Barker, Roger Howe

4.1
The fundamental idea of geometry is that of symmetry. With that principle as the starting point, Barker and Howe begin an insightful and rewarding study of Euclidean geometry. The primary focus of the book is on transformations of the plane. The transformational point of view provides both a path for deeper understanding of traditional synthetic geometry and tools for providing proofs that spring
Regents Exams and Answers: Geometry book cover49

Regents Exams and Answers: Geometry

Andre Castagna

4.1
Barron’s Regents Exams and Answers: Geometry provides essential review for students taking the Geometry Regents, including actual exams administered for the course, thorough answer explanations, and comprehensive review of all topics.

This edition features:

Six actual, administered Regents exams so students can get familiar with the test
Comprehensive review questions grouped by topic, to help refres
Let's Review Geometry book cover50

Let's Review Geometry

Andre CastagnaPh.D.

4.1
Always study with the most up-to-date prep! Look for Let's Review Regents: Geometry 2020, ISBN 978-1-5062-5402-9, on sale January 07, 2020.

Publisher's Note: Products purchased from third-party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitles included with the product.
Tutor in a Book's Geometry book cover51

Tutor in a Book's Geometry

Jo Greig and James R. Shiletto Ph.D

4.1
Need help with Geometry? Designed to replicate the services of a skilled private tutor, the new and improved Tutor in a Book's Geometry is at your service! TIB's Geometry is an extremely thorough, teen tested and effective geometry tutorial.

TIB's Geometry includes more than 500 of the right, well-illustrated, carefully worked out and explained proofs and problems. Throughout TIB's Geometry, there
Geometry - Grades 7-10 book cover52

Geometry - Grades 7-10

Sara Freeman

4.1
This easy-to-use workbook is chock full of stimulating activities that will jumpstart your students' interest in geometry while providing practice with the major geometry concepts. A variety of puzzles, mazes, games, and self-check formats will challenge students to think creatively as they sharpen their geometry skills. Each page begins with a clear explanation of the featured geometry topic, pro
Islamic Geometric Patterns book cover53

Islamic Geometric Patterns

Eric Broug

4.1
The Librarian Who Measured the Earth book cover54

The Librarian Who Measured the Earth

Kathryn Lasky

4.1
A perfect introduction to mathematical concepts for young readers, written by a Newbery honor-winning author!

This colorfully illustrated biography of the Greek philosopher and scientist Eratosthenes, who compiled the first geography book and accurately measured the globe's circumference, is just right for budding mathematicians, scientists, historians, and librarians! Filled with fascinating detai
Geometric Transformations I book cover55

Geometric Transformations I

I. M. Yaglom

4.1
Almost everyoneis acquainted with plane Euclidean geometry as it is usually taught in high school. This book introduces the reader to a completely different way of looking at familiar geometrical facts. It is concerned with transformations of the plane that do not alter the shapes and sizes of geometric figures. Such transformations play a fundamental role in the group theoretic approach to geomet
Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life book cover56

Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life

Albert-Laszlo Barabasi

4.1
In the 1980's, James Gleick's Chaos introduced the world to complexity. Now, Albert-László Barabási's Linked reveals the next major scientific leap: the study of networks. We've long suspected that we live in a small world, where everything is connected to everything else. Indeed, networks are pervasive--from the human brain to the Internet to the economy to our group of friends. These linkages, i
Which One Doesn't Belong?: A Shapes Book book cover57

Which One Doesn't Belong?: A Shapes Book

Christopher Danielson

4.1
Which One Doesn’t Belong? has won the Mathical Book Prize, which will be presented to Christopher Danielson at the National Math Festival in Washington, DC on April 22, 2017. The Mathical Book Prize is an annual award for fiction and nonfiction books that inspire children of all ages to see math in the world around them.

Every colorful page of Christopher Danielson’s children’s picture book, Which
58

Sacred Geometry Activations Oraclebook and Deck

Lon

4.1
For thousands of years, sacred geometry has been a part of every culture. It is the bond that connects us all to the cosmos; it is the true design of our soul.Quantum artist LON has created 44 Activations that encourage your analytical mind to step aside so you can enter the domain of the subconscious and the soul, and connect to the quantum field the space of infinite potential. Working with thes
Geometry: A Comprehensive Course book cover59

Geometry: A Comprehensive Course

Dan Pedoe

4.1
Lucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector algebra in the plane, circles and coaxial systems, mappings of the Euclidean plane, similitudes, isometries, mappings of the intensive plane, much more. Includes over 500 exercises.
Projective Geometry book cover60

Projective Geometry

H.S.M. Coxeter

4.1
In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fo
Non-Euclidean Geometry book cover61

Non-Euclidean Geometry

H. S. M. Coxeter

4.1
This is a reissue of Professor Coxeter's classic text on non-Euclidean geometry. It begins with a historical introductory chapter, and then devotes three chapters to surveying real projective geometry, and three to elliptic geometry. After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases of a more general descriptive geometry. This text should be of use to a
Analysis, Manifolds and Physics, Part II - Revised and Enlarged Edition book cover62

Analysis, Manifolds and Physics, Part II - Revised and Enlarged Edition

Yvonne Choquet-Bruhat

4.1
Twelve problems have been added to the first edition; four of them are supplements to problems in the first edition. The others deal with issues that have become important, since the first edition of Volume II, in recent developments of various areas of physics. All the problems have their foundations in volume 1 of the 2-Volume set Analysis, Manifolds and Physics. It would have been prohibitively
The Symmetries of Things book cover63

The Symmetries of Things

John H. Conway

4.1
Start with a single shape. Repeat it in some way--translation, reflection over a line, rotation around a point--and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, Jo
Mummy Math: An Adventure in Geometry book cover64

Mummy Math: An Adventure in Geometry

Cindy Neuschwander, Bryan Langdo

4.1
Matt, Bibi, and their dog Riley crawled through the tiny opening first. FWUMP! A secret door suddenly closed behind them . . .

Matt and Bibi use math to escape from a pharaoh's tomb!

When the Zills family is summoned to Egypt to help find the hidden burial site of an ancient pharaoh, Matt and Bibi are locked into an adventure they did not expect. Stuck inside a pyramid with only each other, their do
A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science book cover65

A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science

Michael S. Schneider

4.1
The Universe May Be a Mystery,But It's No Secret Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of ma
A Panoramic View of Riemannian Geometry book cover66

A Panoramic View of Riemannian Geometry

Marcel Berger

4.1
Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of al
REA's Ready, Set, Go! Geometry Workbook book cover67

REA's Ready, Set, Go! Geometry Workbook

Mel Friedman and Geometry Study Gudies

4.1
Many students continue to struggle in high school math courses because they failed to master the basic mathematical skills. REA’s new Ready, Set, Go! Workbook series takes the confusion out of math, helping students raise their grades and score higher on important exams. What makes REA’s workbooks different? For starters, students will actually like using them. Here’s why: When students apply the
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds book cover68

The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds

Jeffrey R. Weeks

4.1
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuit
Friendshape book cover69

Friendshape

Amy Krouse Rosenthal, Tom Lichtenheld

4.1
The bestselling creators of EXCLAMATION MARK! introduce a triangle, circle, square, and rectangle who celebrate the gift of friendship.

Friends shape who we are. They make us laugh. They fill us with fun. They stand by us during life's up and downs. And even when we disagree with our friends, if they're tried-and-true, they don't stay bent out of shape for long. That's the beauty of a good buddy. T
Perimeter, Area, and Volume: A Monster Book of Dimensions book cover70

Perimeter, Area, and Volume: A Monster Book of Dimensions

David A Adler, Edward Miller

4.1
Readers are invited to the premiere of a 3-D movie. The star-studded cast of monsters will help them calculate the perimeter of the set, the area of the movie screen, and the volume of their popcorn box. Learning about dimensions has never been so entertaining.
5th Grade Common Core Math: Daily Practice Workbook - Part I: Multiple Choice | 1000+ Practice Questions and Video Explanations | Argo Brothers book cover71

5th Grade Common Core Math: Daily Practice Workbook - Part I: Multiple Choice | 1000+ Practice Questions and Video Explanations | Argo Brothers

Argo Brothers

4.1
Multiple View Geometry in Computer Vision book cover72

Multiple View Geometry in Computer Vision

Richard Hartley, Andrew Zisserman

4.1
A basic problem in computer vision is to understand the structure of a real world scene. This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive
Differential Geometry: Cartan's Generalization of Klein's Erlangen Program book cover73

Differential Geometry: Cartan's Generalization of Klein's Erlangen Program

R.W. Sharpe, S.S. Chern

4.1
Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate stude
Geometry (Grades 6-8) book cover74

Geometry (Grades 6-8)

Kumon

4.1
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics book cover75

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

John Derbyshire

4.1
In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled “On the Number of Prime Numbers Less Than a Given Quantity.” Today, after 150 years of careful research and exhaustive study, the Riemann Hypothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it. Altern
Sacred Geometry and Magical Symbols book cover76

Sacred Geometry and Magical Symbols

Iva Kenaz

4.1
All symbols originate in geometric figures which give form to the observed world as well as the microcosm and macrocosm. Sacred geometry is a teaching that focuses on geometric proportions and patterns in nature. The knowledge of magical symbols and sacred geometry was revered and preserved by many ancient civilisations including those in Mesopotamia, Egypt, India and Greece. Magical symbols and g
Special Relativity and Classical Field Theory: The Theoretical Minimum book cover77

Special Relativity and Classical Field Theory: The Theoretical Minimum

Leonard Susskind

4.1
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 Friedm
Algebraic Geometry book cover78

Algebraic Geometry

Robin Hartshorne

4.1
Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of "
Geometric Transformations II book cover79

Geometric Transformations II

I. M. Yaglom, Allen Shields

4.1
The World Is Not a Rectangle: A Portrait of Architect Zaha Hadid book cover80

The World Is Not a Rectangle: A Portrait of Architect Zaha Hadid

Jeanette Winter

4.1
A Washington Post Best Children’s Book of 2017
Parents’ Choice Recommended

Get to know Zaha Hadid in this nonfiction picture book about the famed architect’s life and her triumph over adversity from celebrated author-illustrator Jeanette Winter.

Zaha Hadid grew up in Baghdad, Iraq, and dreamed of designing her own cities. After studying architecture in London, she opened her own studio and started de
Geometry, Relativity and the Fourth Dimension book cover81

Geometry, Relativity and the Fourth Dimension

Rudolf v.B. Rucker

4.1
This is a highly readable, popular exposition of the fourth dimension and the structure of the universe. A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately.
Fi
A Cloak for the Dreamer book cover82

A Cloak for the Dreamer

Aileen Friedman, Kim Howard

4.1
A tailor asks each of his sons to make a cloak that will keep out the wind and rain. One son uses rectangles; another uses squares and triangles; the youngest uses circles, making a cloak full of holes. His father finds a (geometric) way to fix the cloak. Used in Math By All Means: Geometry, Grades 1-2.
Anne of Green Gables Collection: Anne of Green Gables, Anne of the Island, and More Anne Shirley Books (OBG Classics) book cover83

Anne of Green Gables Collection: Anne of Green Gables, Anne of the Island, and More Anne Shirley Books (OBG Classics)

Lucy Maud Montgomery

4.1
Sacred Geometry: Deciphering the Code book cover84

Sacred Geometry: Deciphering the Code

Stephen Skinner

4.1
A fascinating and inspirational look at the vital link between the hidden geometrical order of the universe, geometry in nature, and the geometry of the man-made world.

The Da Vinci Code has awakened the public to the powerful and very ancient idea that religious truths and mathematical principles are intimately intertwined. Sacred Geometry offers an accessible way of understanding how that connect
Kiselev's Geometry / Book I. Planimetry book cover85

Kiselev's Geometry / Book I. Planimetry

A. P. Kiselev, Alexander Givental

4.1
The Arithmetic of Elliptic Curves book cover86

The Arithmetic of Elliptic Curves

Joseph H. Silverman

4.0
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.
Glimpses of Algebra and Geometry book cover87

Glimpses of Algebra and Geometry

Gabor Toth

4.0
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
Riemannian Manifolds: An Introduction to Curvature book cover88

Riemannian Manifolds: An Introduction to Curvature

John M. Lee

4.0
This text is designed for a one-quarter or one-semester graduate course on Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced study of Riemannian manifolds. The book begins with a careful treatment of the machinery of metrics, connections, and
Challenging Problems in Geometry book cover89

Challenging Problems in Geometry

Alfred S. Posamentier

4.0
Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics.
Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quad
Algebra and Geometry: Anything But Square! (Basher Science) book cover90

Algebra and Geometry: Anything But Square! (Basher Science)

Dan Green and Simon Basher

4.0

The best-selling author of Math and Punctuation now turns his attention to the fun and funky characters in Geometry and Algebra. Meet Polygon and Plane, Reflection and Rotation, Odd Number and his buddy Even Number and the three amigos Sine, Cosine and Tangent. Discover the secrets of their world and how they like to throw their numbers about. Bringing his charming manga-style artwork and ton

Geometry, Topology and Physics (Graduate Student Series in Physics) book cover91

Geometry, Topology and Physics (Graduate Student Series in Physics)

Mikio Nakahara

4.0
This series of books in physics and related subjects is designed to meet the needs of graduate students. Although not primarily research texts, they point out the direction which research is currently taking and where it is expected to lead.
Chaos and Fractals: New Frontiers of Science book cover92

Chaos and Fractals: New Frontiers of Science

Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe

4.0
Almost 12 years have passed by since we wrote Chaos and Fractals. At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did. We know from many reviews and personal letters that the book is used in a wide range of ways: resear
Introduction to Smooth Manifolds book cover93

Introduction to Smooth Manifolds

John Lee

4.0
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, folia
Introduction to Differential Topology book cover94

Introduction to Differential Topology

T Bröcker

4.0
This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students
Three-Dimensional Geometry and Topology, Volume 1 book cover95

Three-Dimensional Geometry and Topology, Volume 1

William P. Thurston, Silvio Levy

4.0
This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises o
Geometry: Euclid and Beyond book cover96

Geometry: Euclid and Beyond

Robin Hartshorne

4.0
In recent years, I have been teaching a junior-senior-level course on the classi- cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa- ratel
Algebraic Topology from a Homotopical Viewpoint book cover97

Algebraic Topology from a Homotopical Viewpoint

Marcelo Aguilar, Samuel Gitler, Carlos Prieto, S.B. Sontz

4.0
The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.
Geometry book cover98

Geometry

David A. Brannan, Matthew F. Esplen, Jeremy J. Gray

4.0
This textbook demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen program: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case they carefully explain key results and discuss the relationship among geometries. This ric
Geometry and Trigonometry for Calculus book cover99

Geometry and Trigonometry for Calculus

Peter H. Selby

4.0
An introduction to trigonometry and plane and analytic geometry with a final chapter on limits, so that the student is well prepared to begin calculus and advanced mathematics. Its major emphasis is on graphic representation of problems and upon their solution by the combined analytic methods of geometry and algebra.
Geometry: 1,001 Practice Problems for Dummies (+ Free Online Practice) book cover100

Geometry: 1,001 Practice Problems for Dummies (+ Free Online Practice)

Allen Ma and Amber Kuang

4.0
Practice makes perfect! Get perfect with a thousand and one practice problems!"1,001 Geometry Practice Problems For Dummies "gives you 1,001 opportunities to practice solving problems that deal with core geometry topics, such as points, lines, angles, and planes, as well as area and volume of shapes. You'll also find practice problems on more advanced topics, such as proofs, theorems, and postulat