The History of Mathematics: A Brief Course, Second Edition
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English

ROGER COOKE, PHD, is Williams Professor of Mathematics, University of Vermont, and has served as an associate editor of Historia Mathematica. Dr. Cooke has authored other key titles in the field as well as translated several books by Russian mathematicians into English.

English

Preface to the Second Edition.

PART 1: THE WORLD OF MATHEMATICS AND THE MATHEMATICS OF THE WORLD.

Chapter 1. The Origin and Prehistory of Mathematics.

Chapter 2. Mathematical Cultures I.

Chapter 3. Mathematical Cultures II.

Chapter 4. Women Mathematicians.

PART 2: NUMBERS.

Chapter 5. Counting.

Chapter 6. Calculation.

Chapter 7. Ancient Number Theory.

Chapter 8. Numbers and Number Theory in Modren Mathematics.

PART 3: COLOR PLATES.

PART 4: SPACE.

Chapter 9. Measurement.

Chapter 10. Euclidean Geometry.

Chapter 11. Post-Euclidean Geometry.

Chapter 12. Modern Geometries.

PART 5: ALGEBRA.

Chapter 13. Prolems Leading to Algebra.

Chapter 14. Equations and Methods.

Chapter 15. Modern Algebra.

PART 6: ANALYSIS.

Chapter 16. The Calculus.

Chapter 17. Real and Complex Aanlysis.

PART 7: MATHEMATICAL INFERENCES.

Chapter 18. Probability and Statistics.

Chapter 19. Logic and Set Theory.

Literature.

Subject Index.

Name Index.

English

“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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