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  • © 1991

Introduction to Classical Mathematics I

From the Quadratic Reciprocity Law to the Uniformization Theorem

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Part of the book series: Mathematics and Its Applications (MAIA, volume 70)

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Table of contents (30 chapters)

  1. Front Matter

    Pages i-xvii
  2. Congruences

    • Helmut Koch
    Pages 1-10
  3. Quadratic forms

    • Helmut Koch
    Pages 11-22
  4. Division of the circle (Cyclotomy)

    • Helmut Koch
    Pages 23-34
  5. Theory of surfaces

    • Helmut Koch
    Pages 35-43
  6. Harmonic analysis

    • Helmut Koch
    Pages 44-58
  7. Theory of algebraic equations

    • Helmut Koch
    Pages 67-89
  8. Entire functions

    • Helmut Koch
    Pages 108-117
  9. Riemann surfaces

    • Helmut Koch
    Pages 118-136
  10. The theorems of Abel and Jacobi

    • Helmut Koch
    Pages 154-164
  11. Elliptic functions

    • Helmut Koch
    Pages 165-181
  12. Riemannian geometry

    • Helmut Koch
    Pages 182-209
  13. The origins of algebraic number theory

    • Helmut Koch
    Pages 219-222
  14. Field theory

    • Helmut Koch
    Pages 223-231
  15. Dedekind’s theory of ideals

    • Helmut Koch
    Pages 232-250

Reviews

` Recommended for all libraries, this single volume may fill many gaps in smaller collections. '
Science & Technology

`The book is well-written, the presentation of the material is clear. ... This very valuable, excellent book is recommended to researchers, students and historians of mathematics interested in the classical development of mathematics. '
Acta Scientiarum Mathematicarum, 56:3-4

Authors and Affiliations

  • Karl-Weierstrass-Institut für Mathematik, Berlin, Germany

    Helmut Koch

Bibliographic Information

  • Book Title: Introduction to Classical Mathematics I

  • Book Subtitle: From the Quadratic Reciprocity Law to the Uniformization Theorem

  • Authors: Helmut Koch

  • Series Title: Mathematics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-011-3218-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1991

  • Hardcover ISBN: 978-0-7923-1231-4Published: 31 May 1991

  • Softcover ISBN: 978-0-7923-1238-3Published: 31 May 1991

  • eBook ISBN: 978-94-011-3218-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVII, 453

  • Additional Information: Originally published in German

  • Topics: Number Theory, History of Mathematical Sciences, Mathematics, general

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access