### Synopses & Reviews

"Boyer and Merzbach distill thousands of years of mathematics into this fascinating chronicle. From the Greeks to Godel, the mathematics is brilliant; the cast of characters is distinguished; the ebb and flow of ideas is everywhere evident. And, while tracing the development of European mathematics, the authors do not overlook the contributions of Chinese, Indian, and Arabic civilizations. Without doubt, this is--and will long remain--a classic one-volume history of mathematics and mathematicians who create it." --William Dunham Author, Journey Through Genius, The Great Theorems of Mathematics "When we read a book like A History of Mathematics, we get the picture of a mounting structure, ever taller and broader and more beautiful and magnificent--and with a foundation, moreover, that is as untainted and as functional now as it was when Thales worked out the first geometrical theorems nearly 26 centuries ago." --From the Foreword by Isaac Asimov "One of the most useful and comprehensive general introductions to the subject." --J. W. Dauben The City University of New York "Both readable and scholarly, this book can serve as a fine introduction to the topic and also a reference book." --J. David Bolter University of North Carolina Author of Turing's Man Revised to make it more accessible to a general audience, A History of Mathematics paints a vivid picture of humankind's relationship with numbers. Updated and expanded, it now offers broadened coverage of twentieth century advances in probability and computers, and updated references to further reading. A feature that will be of interest to every reader is an appendix containing an extensive chronological table of mathematical and general historical developments.

#### Synopsis

Presupposes a knowledge of college level mathematics but is accessible to the average reader through its consistent treatment of mathematical structure with a strict adherence to historical perspective and detail. The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

### Table of Contents

Origins.

Egypt.

Mesopotamia.

Ionia and the Pythagoreans.

The Heroic Age.

The Age of Plato and Aristotle.

Euclid of Alexandria.

Archimedes of Syracuse.

Apollonius of Perga.

Greek Trigonometry and Mensuration.

Revival and Decline of Greek Mathematics.

China and India.

The Arabic Hegemony.

Europe in the Middle Ages.

The Renaissance.

Prelude to Modern Mathematics.

The Time of Fermat and Descartes.

A Transitional Period.

Newton and Leibniz.

The Bernoulli Era.

The Age of Euler.

Mathematicians of the French Revolution.

The Time of Gauss and Cauchy.

Geometry.

Analysis.

Algebra.

Poincar? and Hilbert.

Aspects of the Twentieth Century.

References.

General Bibliography.

Appendix.

Index.