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From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development

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Tracing the story from its earliest sources, this book celebrates the lives and work of pioneers of modern mathematics: Fermat, Euler, Lagrange, Legendre, Gauss, Fourier, Dirichlet and more. Includes an English translation of Gauss's 1838 letter to Dirichlet.

Author(s): Winfried Scharlau, Hans Opolka, Walter K. Bühler, Gary Cornell
Series: Undergraduate Texts in Mathematics
Edition: 1st
Publisher: Springer
Year: 1985

Language: English
Pages: 184
Tags: Математика;История математики;

Cover......Page 1
Title Page......Page 4
Copyright Page......Page 5
Preface......Page 6
Contents......Page 8
Literature......Page 11
CHAPTER 1 The Beginnings......Page 14
CHAPTER 2 Fermat......Page 18
CHAPTER 3 Finer......Page 27
CHAPTER 4 Lagrange......Page 45
CHAPTER 5 Legendre......Page 70
CHAPTER 6 Gauss......Page 77
CHAPTER 7 Fourier......Page 115
CHAPTER 8 Dirichlet......Page 122
CHAPTER 9 From Hermite to Minkowski......Page 164
CHAPTER 10 A Preview of Reduction Theory......Page 182
APPENDIX English Translation of Gauss's Letter to Dirichlet, November 1838......Page 191
Index......Page 194