The History of Mathematics: An Introduction (reprint ISBN)

by Burton, David M.

• ISBN13: 9780072885231
• ISBN10: 0072885238
• Edition: 5th
• Format: Hardcover
• Copyright: 2002-12-12
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

This text is designed for the junior/senior mathematics major who intends to teach mathematics in high school or college. It concentrates on the history of those topics typically covered in an undergraduate curriculum or in elementary schools or high schools. At least one year of calculus is a prerequisite for this course. This book contains enough material for a 2 semester course but it is flexible enough to be used in the more common 1 semester course.

Table of Contents

1 Early Number Systems and Symbols

2 Mathematics in Early Civilizations

3 The Beginnings of Greek Mathematics

4 The Alexandrian School: Euclid

5 The Twilight of Greek Mathematics: Diophantus

6 The First Awakening: Fibonacci

7 The Renaissance of Mathematics: Cardan and Tartaglia

8 The Mechanical World: Descartes and Newton

9 The Development of Probability Theory: Pascal, Bernoulli, and Laplace

10 The Revival of Number Theory: Fermat, Euler, and Gauss

11 Nineteenth-Century Contributions: Bolyai and Lobachevsky

12 Transition to the Twenthieth Century: Canto and Kronecker

13 Extensions and Generalizations: Hardy, Hausdorff, and Noether