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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...

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...

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,...

**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...

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...

**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...

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...

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...

"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...

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...

“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...

**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...

**A New York Times bestseller**

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

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...

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...

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...

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...

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...

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...*

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...

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?...