文档介绍：Mathematics
The History of Mathematics: An Introduction, 6th Editi
Burton
McGraw-Hill=>?
McGraw−Hill Primis
ISBN: 0−390−63234−1
Text:
The History of Mathematics: An
Introduction, Sixth Edition
Burton
This book was printed on recycled paper.
Mathematics
mis/online/
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111 MATHGEN ISBN: 0−390−63234−1
Mathematics
Contents
Burton • The History of Mathematics: An Introduction, Sixth Edition
Front Matter 1
Preface 1
1. Early Number Systems and Symbols 4
Text 4
2. Mathematics in Early Civilizations 36
Text 36
3. The Beginnings of Greek Mathematics 87
Text 87
4. The Alexandrian School: Euclid 144
Text 144
5. The Twilight of Greek Mathematics: Diophantus 216
Text 216
6. The First Awakening: i 272
Text 272
7. The Renaissance of Mathematics: Cardan and Tartaglia 303
Text 303
8. The Mechanical World: Descartes and Newton 338
Text 338
9. The Development of Probability Theory: Pascal, Bernoulli, and Laplace 438
Text 438
10. The Revival of Number Theory: Fermat, Euler, and Gauss 495
Text 495
11. eenth−Century Contributions: Lobachevsky to Hilbert 559
Text 559
iii
12. Transition to the Twentieth Century: Cantor and Kronecker 651
Text 651
13. Extensions and Generalizations: Hardy, Hausdorff, and Noether 711
Text 711
Back Matter 741
General Bibliography 741
Additional Reading 744
The Greek Alphabet 745
Solutions to Selected Problems 74