The Shaping of Arithmetic after C.F. Gauss's Disquisitiones ArithmeticaeCatherine Goldstein, Norbert Schappacher, Joachim Schwermer Springer Science & Business Media, 3 de febr. 2007 - 578 pàgines Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication. |
Continguts
1 | |
2 Several Disciplines and a Book 18601901 Catherine Goldstein Norbert Schappacher | 67 |
x | 119 |
2 Composition of Binary Quadratic Forms and | 129 |
An Algebraic Perspective | 145 |
On the Way to Function | 159 |
The Rise of Pure Mathematics | 235 |
Complex Numbers and Complex Functions in Arithmetic | 269 |
Number Theory and the Disquisitiones in France after 1850 | 375 |
2 Number Theory at the Association française pour | 411 |
Spotlighting Some Later Reactions 429 | 430 |
2 Zolotarevs Theory of Algebraic Numbers | 453 |
The Reception of the Disquisitiones | 463 |
Three Case Studies 481 | 482 |
2 Gauss Sums | 505 |
3 The Development of the Principal Genus Theorem | 529 |
2 Elliptic Functions and Arithmetic | 291 |
Numbers as Model Objects of Mathematics | 313 |
2 On Arithmetization | 343 |
List of Illustrations | 563 |
Authors Addresses | 577 |
Altres edicions - Mostra-ho tot
The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae Catherine Goldstein,Norbert Schappacher,Joachim Schwermer Previsualització no disponible - 2010 |
The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae Catherine Goldstein,Norbert Schappacher,Joachim Schwermer Previsualització no disponible - 2007 |
The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae Catherine Goldstein,Norbert Schappacher,Joachim Schwermer Previsualització no disponible - 2009 |
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