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The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae

  • Catherine Goldstein
  • Norbert Schappacher
  • Joachim Schwermer

Table of contents

  1. Front Matter
    Pages i-xi
  2. A Book’s History

    1. Front Matter
      Pages 1-1
    2. Catherine Goldstein, Norbert Schappacher
      Pages 2-65
    3. Catherine Goldstein, Norbert Schappacher
      Pages 66-103
  3. Algebraic Equations, Quadratic Forms, Higher Congruences: Key Mathematical Techniques of the Disquisitiones Arithmeticae

  4. The German Reception of the Disquisitiones Arithmeticae: Institutions and Ideas

  5. Complex Numbers and Complex Functions in Arithmetic

    1. Front Matter
      Pages 269-269
    2. Christian Houzel
      Pages 291-312
  6. Numbers as Model Objects of Mathematics

    1. Front Matter
      Pages 313-313
    2. Jacqueline Boniface
      Pages 314-342
    3. Birgit Petri, Norbert Schappacher
      Pages 343-374
  7. Number Theory and the Disquisitiones in France after 1850

    1. Front Matter
      Pages 375-375
    2. Catherine Goldstein
      Pages 376-410
  8. Spotlighting Some Later Reactions

  9. Gauss’s Theorems in the Long Run: Three Case Studies

    1. Front Matter
      Pages 481-481
    2. Samuel James Patterson
      Pages 505-528
    3. Franz Lemmermeyer
      Pages 529-561
  10. Back Matter
    Pages 563-578

About this book

Keywords

Arithmetic C.F. Gauss Disquisitiones Arithmeticae Finite History of Mathematics algebra equation finite field function mathematics number theory theorem

Editors and affiliations

  • Catherine Goldstein
    • 1
  • Norbert Schappacher
    • 2
  • Joachim Schwermer
    • 3
  1. 1.Histoire des sciences mathématiquesInstitut de mathématiques de JussieuParisFrance
  2. 2.UFR de mathématique et d’informatique / IRMAStrasbourg CedexFrance
  3. 3.Fakultät für MathematikUniversität WienWienAustria

Bibliographic information