A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. DaubenDavid E. Rowe, Wann-Sheng Horng Birkhäuser, 12 de maig 2015 - 428 pàgines Joseph W. Dauben, a leading authority on the history of mathematics in Europe, China, and North America, has played a pivotal role in promoting international scholarship over the last forty years. This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field. |
Continguts
| 3 | |
2
Nonstandard Analysis Infinitesimals and the History of Calculus | 25 |
3
Despite Kempe the Modest Place of Multisets and Multiclasses in Foundational Theories | 50 |
Part II
On the Boundaries of Mathematics and Physics | 64 |
the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion | 65 |
5
Saturns Rings from Laplace to Poincare | 103 |
6
Henri Poincare and Hermann Weyl on the foundations of Mathematics | 125 |
Part III
European Mathematics in Transition | 150 |
11
Correspondence of Li Yan and David Eugene Smith | 245 |
The American Mathematical Research Community19201950 | 274 |
Part V
Traditional Chinese Mathematics | 309 |
A Brief Introduction and Comparison with its Greek Counterpart | 311 |
14
On the Algorithmic Tradition in the History of Mathematics | 321 |
15
Gu Yingxiangs Method of Solving Numerical Equations with the Abacus | 343 |
Transmissions and Transformations | 360 |
An Overview | 363 |
7
Yixing in Paris | 151 |
A New Approach to the Communication and Transmission of Mathematical Knowledge from China to the West | 165 |
9
New Perspectives on Commercial Arithmetic in Renaissance Spain | 181 |
Part IV
Mathematics and its History in Modern Cultures | 208 |
10
Historical Events in the Background of Hilberts Seventh Paris Problem | 211 |
17
Transmission of Probability Theory into China at the end of the Nineteenth Century | 394 |
Part VII
Selected Bibliography of Joseph WDauben | 417 |
| 419 | |
Contributors
| 426 |
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