The History of Mathematics: A Brief Course / Edition 1

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The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society.
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Editorial Reviews

Developed as a text for his undergraduate introductory math classes, Cooke mathematics and statistics, U. of Vermont tours the origins of the field in Western and other traditions Hindu, Chinese, Korean and Japanese, and Islamic, and its modern evolution from the Middle Ages to the present. Equally intriguing is what the author notes he decided to edit out: e.g. nearly all biography. Chapters feature problems and commentary on why each problem was important, how it was solved, and implications of the solution for further developments. Concluding chapters link mathematics to contemporary US scientific policy and social issues math in Nazi Germany and the Soviet Union; women and minorities in the field. Annotation c. by Book News, Inc., Portland, Or.
From the Publisher

“This book should engage students, and Chapters 1-4 contain a great deal of material that students usually have to find outside their textbook: background history, relationship of mathematics to the broader culture, and a great deal of information on women in mathematics. Once the students are taken in by the story, it will be the instructor’s job to elaborate on the historical calculations and proofs. For an experienced instructor in a history of mathematics class, this is an ideal situation; both the instructor and the text get to do their jobs.” (Mathematical Association of America, 16 July 2013)

"The second edition…is a jewel. It is notable for what it includes as well as what it does not. But most importantly, it is a jewel for its presentation." (MAA Reviews, January 15, 2007)

"…a remarkably well-compiled format…recommended as a textbook for an undergraduate course; in addition...can appeal to readers interested in the history of science and to a general audience." (E-STREAMS, November 2006)

"An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource…essential." (CHOICE, November 2005)

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Product Details

  • ISBN-13: 9780471180821
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 1/28/1997
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 552
  • Product dimensions: 6.62 (w) x 8.80 (h) x 1.53 (d)

Meet the Author

ROGER L. COOKE, PhD, is Williams Professor of Mathematics at the University of Vermont. His research interests include the history of mathematics and Fourier analysis, and he has taught a general introduction to the history and development of mathematics for many years.

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Table of Contents

Ch. 1 The origin and prehistory of mathematics 3
Ch. 2 Mathematical cultures I 19
Ch. 3 Mathematical cultures II 41
Ch. 4 Women mathematicians 75
Ch. 5 Counting 111
Ch. 6 Calculation 129
Ch. 7 Ancient number theory 159
Ch. 8 Numbers and number theory in modern mathematics 187
Ch. 9 Measurement 233
Ch. 10 Euclidean geometry 269
Ch. 11 Post-Euclidean geometry 317
Ch. 12 Modern geometries 351
Ch. 13 Problems leading to algebra 399
Ch. 14 Equations and algorithms 409
Ch. 15 Modern algebra 437
Ch. 16 The calculus 463
Ch. 17 Real and complex analysis 489
Ch. 18 Probability and statistics 511
Ch. 19 Logic and set theory 535
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