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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...


The Parrot's Theorem

by Denis Guedj & Frank Wynne Thomas Dunne Books (August 19, 2013)

Mr. Ruche, a Parisian bookseller, receives a bequest from a long lost friend in the Amazon of a vast library of math books, which propels him into a great exploration of the story of mathematics. Meanwhile Max,...


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...


Imagining Numbers

by Barry Mazur Farrar, Straus and Giroux (January 31, 2004)

How the elusive imaginary number was first imagined, and how to imagine it yourself

Imagining Numbers (particularly the square root of minus fifteen) is Barry Mazur's invitation to those who take delight in the...


Do Dice Play God?

by Ian Stewart Basic Books (September 02, 2019)

A celebrated mathematician explores how math helps us make sense of the unpredictable

We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the...


Weird Math

by David Darling & Agnijo Banerjee Civitas Books (April 16, 2018)

A teenage genius and his teacher take readers on a wild ride to the extremes of mathematics

Everyone has stared at the crumpled page of a math assignment and wondered, where on Earth will I ever use this? It...


Significant Figures

by Ian Stewart Basic Books (September 11, 2017)

A celebrated mathematician traces the history of math through the lives and work of twenty-five pioneering mathematicians

In Significant Figures, acclaimed mathematician Ian Stewart explores the work of 25 of...


Love and Math

by Edward Frenkel Basic Books (September 30, 2013)

An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics

What if you had to take an art class in which you were only taught how to paint a fence? What if...


Exact Thinking in Demented Times

by Karl Sigmund & Douglas Hofstadter Basic Books (December 04, 2017)

A dazzling group biography of the early twentieth-century thinkers who transformed the way the world thought about math and science

Inspired by Albert Einstein's theory of relativity and Bertrand Russell and...


Beyond Infinity

by Eugenia Cheng Basic Books (March 27, 2017)

A mind-expanding and funny trip to the edge of mathematics

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our...


A Most Elegant Equation

by David Stipp Basic Books (November 06, 2017)

An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers

Bertrand Russell wrote that mathematics can exalt "as surely...


The Mathematics of the Gods and the Algorithms of Men

by Paolo Zellini Pegasus Books (May 05, 2020)

A masterful cultural history of mathematics from bestselling Italian mathematician and philosopher Paolo Zellini.

Is mathematics a discovery or an invention? Have we invented numbers or do they truly exist? What...


Weirder Maths

by David Darling & Agnijo Banerjee Oneworld Publications (July 04, 2019)

Even the most enthusiastic of maths students probably at one time wondered when exactly it would all prove useful in ‘real life’. Well, maths reaches so far and wide through our world that, love it or hate...


The Man Who Knew Too Much

by David Leavitt & Paul Michael Garcia Blackstone Publishing (June 01, 2014)

A "skillful, literate" (New York Times Book Review) biography of the persecuted geniuswho helped create the modern computer

To solve one of the great mathematical problems of his day,Alan Turing proposed an imaginary...


Finding Zero

by Amir D. Aczel, Stefan Rudnicki & Cassandra de Cuir Blackstone Publishing (January 06, 2015)

The story of how we got our numbers--told through one mathematician'sjourney to find zero

The invention of numerals is perhaps the greatestabstraction the human mind has ever created. Virtually everything in...


Proof!

by Amir Alexander & Jonathan Todd Ross Blackstone Publishing (December 10, 2019)

An eye-opening narrative of how geometric principles fundamentally shaped our world

One night in 1661, Nicholas Fouquet, a superintendent under Louis XIV, was arrested. His crime was peculiar: he had dared to...


Beyond Infinity

by Eugenia Cheng Basic Books (March 28, 2017)

A mind-expanding and funny trip to the edge of mathematics

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our...


The Weil Conjectures

by Karen Olsson Farrar, Straus and Giroux (July 15, 2019)

A New York Times Editors' Pick and Paris Review Staff Pick

"A wonderful book." --Patti Smith

"I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on...


Change Is the Only Constant

by Ben Orlin Running Press (October 08, 2019)

The next book from Ben Orlin, the popular math blogger and author of the underground bestseller Math With Bad Drawings. Change Is The Only Constant is an engaging and eloquent exploration of the intersection...


Do Dice Play God?

by Ian Stewart Basic Books (September 03, 2019)

A celebrated mathematician explores how math helps us make sense of an unpredictable world

We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if...


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,...