A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. Dauben

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David E. Rowe, Wann-Sheng Horng
Birkhäuser, 12 de maig 2015 - 428 pàgines
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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.
 

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Continguts

What really happened at the 1904 International Congress of Mathematicians in Heidelberg
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
18 Bibliography
419
Contributors
426
Copyright

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The editors of this Festschrift took their doctorates at CUNY Graduate Center under J.W. Dauben. Since graduating they have published widely on topics in the history of mathematics.

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