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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,...

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...

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,...

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,...

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.

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....

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,...

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.

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...

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...

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.

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.

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....

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.

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...

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.

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....

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...

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....

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*....

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.

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...

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 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...

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.

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:...

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.

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...

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....

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...

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,...

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...

**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...

**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...

**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...

**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...

**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...

**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...

**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...

**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...

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...

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...

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...

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...

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...

**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 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...**

**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...**

**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...

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,...