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Makers of Mathematics

by Stuart Hollingdale Dover Publications (June 10, 2014)

Fascinating and highly readable, this book recounts the history of mathematics as revealed in the lives and writings of the most distinguished practitioners of the art: Archimedes, Descartes, Fermat, Pascal,...


The Magic of Numbers

by Eric Temple Bell Dover Publications (June 10, 2014)

From one of the foremost interpreters for lay readers of the history and meaning of mathematics: a stimulating account of the origins of mathematical thought and the development of numerical theory. It probes...


Non-Euclidean Geometry

by Roberto Bonola Dover Publications (July 18, 2012)

Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss,...


The Origins of Cauchy's Rigorous Calculus

by Judith V. Grabiner Dover Publications (April 13, 2012)

This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series,...


A History of Greek Mathematics, Volume I: From Thales to Euclid

by Sir Thomas Heath Dover Publications (February 10, 2012)

Volume 1 of an authoritative two-volume set that covers the essentials of mathematics and features every landmark innovation and every important figure, including Euclid, Apollonius, and others.


A History of Mathematical Notations

by Florian Cajori Dover Publications (September 26, 2013)

This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival....


The European Mathematical Awakening: A Journey Through the History of Mathematics from 1000 to 1800

by Frank J. Swetz Dover Publications (September 26, 2013)

A global survey of the history of mathematics, this collection of 32 articles traces the subject from AD 1000 to 1800. Newly corrected and updated essays introduce fascinating studies by Fibonacci, Descartes,...


A Source Book in Mathematics

by David Eugene Smith Dover Publications (April 09, 2012)

The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.


A Mathematical History of the Golden Number

by Roger Herz-Fischler Dover Publications (May 08, 2013)

This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous...


Contributions to the Founding of the Theory of Transfinite Numbers

by Georg Cantor Dover Publications (September 05, 2012)

The famous articles, 1895–7, that founded a new branch of mathematics. Covers addition, multiplication and exponentiation of cardinal numbers, smallest transfinite cardinal numbers, ordinal types of simple...


The Nature of Mathematics

by Philip E. B. Jourdain Dover Publications (December 12, 2012)

Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.


The Early Mathematical Manuscripts of Leibniz

by G. W. Leibniz & J. M. Child Dover Publications (November 08, 2012)

Leibniz's own accounts of his work, plus critical and historical notes and essays, include his "Historia et Origio Calculi Differentialis," manuscripts of the period 1673-77, and essays by C. I. Gerhardt.


A History of Japanese Mathematics

by David E. Smith & Yoshio Mikami Dover Publications (February 21, 2013)

Classic survey chronicles the development of the Japanese mathematics: use of the abacus; application of counting rods to algebra; Seki Kowa; the circle principle; Ajima Chokuyen; Wada Nei; more. 1914 edition....


The Works of Archimedes

by Archimedes & Sir Thomas Heath Dover Publications (April 11, 2013)

Complete works of ancient geometer feature such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the properties of conoids, spheroids, and spirals; more.


Prelude to Mathematics

by W. W. Sawyer Dover Publications (March 22, 2012)

This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking...


The Development of Mathematics

by E. T. Bell Dover Publications (August 14, 2012)

One of the 20th century's foremost scholars surveys the role of mathematics in civilization, describing the main principles, methods, and theories of mathematics from 4000 B.C. to 1945. 1945 edition.


A Long Way from Euclid

by Constance Reid Dover Publications (January 23, 2013)

Lively guide by a prominent historian focuses on the role of Euclid's Elements in subsequent mathematical developments. Elementary algebra and plane geometry are sole prerequisites. 80 drawings. 1963 edition....


Mind Tools: The Five Levels of Mathematical Reality

by Rudy Rucker Dover Publications (November 12, 2013)

From mathematics and computers to insights into the workings of the human mind, this popular mathematics book reflects the intelligence gathered from the frontiers of mathematical thought. Illuminated by more...


Greek Mathematical Thought and the Origin of Algebra

by Jacob Klein Dover Publications (March 25, 2013)

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography....


Number Words and Number Symbols: A Cultural History of Numbers

by Karl Menninger Dover Publications (April 10, 2013)

Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal....


The History of the Calculus and Its Conceptual Development

by Carl B. Boyer Dover Publications (September 11, 2012)

Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.


The Thirteen Books of the Elements, Vol. 2

by Euclid Dover Publications (July 18, 2012)

Volume 2 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical...


The Thirteen Books of the Elements, Vol. 1

by Euclid Dover Publications (July 18, 2012)

Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Vol. 1 includes Introduction, Books I and II:...


The Geometry of René Descartes

by René Descartes Dover Publications (August 22, 2012)

The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of...


A Short Account of the History of Mathematics

by W. W. Rouse Ball Dover Publications (March 30, 2012)

This standard text treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.


The Thirteen Books of the Elements, Vol. 3

by Euclid & Thomas L. Heath Dover Publications (April 11, 2013)

Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis. Covers textual and linguistic matters, more. Includes 2,500 years of commentary. Total in set:...


The Historical Roots of Elementary Mathematics

by Lucas N. H. Bunt, Phillip S. Jones & Jack D. Bedient Dover Publications (November 13, 2012)

Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems examines their origins in early Egyptian, Babylonian, and Greek sources.


A Profile of Mathematical Logic

by Howard DeLong Dover Publications (August 29, 2012)

This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired...


Famous Problems of Geometry and How to Solve Them

by Benjamin Bold Dover Publications (April 13, 2012)

Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions....


Mathematics for the Nonmathematician

by Morris Kline Dover Publications (March 18, 2013)

Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of these—the search for beauty. Mathematics is...


Five Equations That Changed the World: The Power and Poetry of Mathematics

by Michael Guillen Hachette Books (June 05, 2012)

A Publishers Weekly best book of 1995!

Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations.

As a regular...


On the Quest for Computable Knowledge

by Stephen Wolfram Wolfram Media, Inc. (November 28, 2017)

Wolfram discusses the history of computation from its earliest beginnings to current applications and the emergence of computable knowledge. Notable figures include: Pythagoras, Archimedes, Isaac Newton, Galileo,...


That's Maths

by Peter Lynch Gill Books (October 14, 2016)

From atom bombs to rebounding slinkies, open your eyes to the mathematical magic in the everyday.

Mathematics isn’t just for academics and scientists, a fact meteorologist and blogger Peter Lynch has spent...


Mathematics Old and New

by Saul Stahl & Paul E. Johnson Dover Publications (July 24, 2017)

This introductory treatment provides insightful expositions of specific applications as well as elements of mathematical history and culture. The in-depth coverage of key mathematical topics is presented in...


Weird Math

by David Darling & Agnijo Banerjee Basic Books (April 17, 2018)

A successful science writer and a teenage math prodigy reveal the complex mathematics that is all around us

Almost everyone has stared at crumpled pages of a math homework assignment and wondered, where on...


Numbers

by Albrecht Beutelspacher, Andrea Easterday, Andrea Bruder & John J. Watkins Dover Publications (February 17, 2016)

Posing the question "What exactly is a number?" a distinguished German mathematician presents this intriguing and accessible survey. Albrecht Beutelspacher ― founder of the renowned interactive mathematics...


Pythagoras

by Christoph Riedweg & Steven Rendall Cornell University Press (November 11, 2011)

One of the most important mathematical theorems is named after Pythagoras of Samos, but this semi-mythical Greek sage has more to offer than formulas. He is said to have discovered the numerical nature of the...


An Introduction to Mathematics

by Alfred North Whitehead Dover Publications (May 04, 2017)

"The object of the following chapters is not to teach mathematics, but to enable students from the very beginning of their course to know what the science is about, and why it is necessarily the foundation of...


Exact Thinking in Demented Times

by Karl Sigmund & Douglas Hofstadter Basic Books (December 05, 2017)

Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in...


A Mathematician's Lament

by Paul Lockhart & Keith Devlin Bellevue Literary Press (April 01, 2009)

“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition

A brilliant research mathematician who has devoted his career to teaching...


Beyond Infinity

by Eugenia Cheng Basic Books (March 28, 2017)

The hilarious and charming Eugenia Cheng leads us in search of what's bigger than infinity, and smaller than its opposite

Imagine something small enough to fit in your head but too large to fit in the world-or...


The Magic of Math

by Arthur Benjamin Basic Books (September 08, 2015)

A New York Times bestseller

The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples—from ice cream scoops and poker hands to measuring mountains and making magic...


A Mathematics Sampler

by William P. Berlinghoff, Kerry E. Grant & Dale Skrien Rowman & Littlefield Publishers (January 10, 2001)

Now in its fifth edition, A Mathematics Sampler presents mathematics as both science and art, focusing on the historical role of mathematics in our culture. It uses selected topics from modern mathematics—including...


Maya Math Simplified

by Njord Kane Spangenhelm Publishing (November 26, 2016)

The Mystery of Maya Math Code is solved and simplified! 

Presented in a manner that is not long winded by explaining centuries of theories regarding ancient mathematics, Maya philosophy, and history. This book...


The Equation that Couldn't Be Solved

by Mario Livio Simon & Schuster (September 19, 2005)

What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic...


Is God a Mathematician?

by Mario Livio Simon & Schuster (February 22, 2011)

Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so...


The Book on Games of Chance: The 16th-Century Treatise on Probability

by Gerolamo Cardano, Sydney Henry Gould & Samuel S. Wilks Dover Publications (November 04, 2015)

Mathematics was only one area of interest for Gerolamo Cardano ― the sixteenth-century astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the...


How to Solve the Da Vinci Code

by Richard Elwes Quercus (November 05, 2013)

Can you outrun a bullet? How do you build an electronic brain? Could you slow down time? How do you unleash chaos? From Plato's classification of regular polyhedra to making a million on the stock market, How...


Math in Minutes: 200 Key Concepts Explained In An Instant

by Paul Glendinning Quercus (September 10, 2013)

Paul Glendinning is Professor of Applied Mathematics at the University of Manchester. He was founding Head of School for Mathematics at the combined University of Manchester and has published over fifty academic...


Mathematics in Civilization, Third Edition

by Howard L. Resnikoff & Raymond O. Wells, Jr. Dover Publications (May 05, 2015)

Space flight, computers, lasers, and information technology ― these are but a few examples of the spectacular growth, development, and far-reaching applications of mathematics. But what of the field's past?...