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An Episodic History of Mathematics: Mathematical Culture Through Problem Solving
2010, Mathematical Association of America
Hardcover
0883857669 9780883857663
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Book Details
Table of Contents
Preface
Page xi
1.
The Ancient Greeks and the foundations of Mathematics
Page 1
2.
Zeno's Paradox and the Concept of Limit
Page 25
3.
The Mystical mathematics of Hypatia
Page 43
4.
The Islamic World and the Development of Algebra
Page 55
5.
Cardano, Abel, Galois, and the Solving of Equations
Page 73
6.
Rene Descartes and the Idea of Coordinates
Page 95
7.
Pierre de Fermat and the Invention of Differential Calculus
Page 109
8.
The Great Isaac Newton
Page 124
9.
The Complex Numbers and the Fundamental Theorem of Algebra
Page 151
10.
Carl Friedrich Gauss: The Prince of Mathematics
Page 169
11.
Sophie Germain and the Attack on Fermat's Last Problem
Page 195
12.
Cauchy and the Foundations of Analysis
Page 207
13.
The Prime Numbers
Page 223
14.
Dirichlet and How to Count
Page 237
15.
Bernard Riemann and the Geometry of Surfaces
Page 247
16.
Georg Cantor and the Orders of Infinity
Page 261
17.
The Number Systems
Page 275
18.
Henri Poincare, Child Phenomenon
Page 289
19.
Sonya Kovalevskaya and the Mathematics of Mechanics
Page 305
20.
Emmy Noether and Algebra
Page 319
21.
Methods of Proof
Page 331
22.
Alan Turing and Cryptography
Page 345
Bibliography
Page 365
Index
Page 371
About the Author
Page 381
Classifications
The Physical Object
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- Created August 19, 2010
- 14 revisions
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September 3, 2023 | Edited by WikidataBot | [sync_edition_olids] add wikidata identifier |
July 15, 2023 | Edited by ImportBot | import existing book |
March 7, 2023 | Edited by MARC Bot | import existing book |
February 16, 2023 | Edited by ISBNbot2 | normalize ISBN |
August 19, 2010 | Created by 71.172.230.107 | Created new edition record. |