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Contributions in Mathematical and Computational Sciences

Emil Artin and Helmut Hasse

The Correspondence 1923-1958

Editors: Frei, Günther, Lemmermeyer, Franz, Roquette, Peter J. (Eds.)

  • Insight into the birth of class field theory by presenting the letters between two of its main contributors, Emil Artin and Helmut Hasse
  • First English translation of these letters
  • Complete coverage of the letters from 1937 until 1958
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eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-0348-0715-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-0348-0714-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

This volume consists of the English translations of the letters exchanged between Emil Artin to Helmut Hasse written from 1921 until 1958. The letters are accompanied by extensive comments explaining the mathematical background and giving the information needed for understanding these letters. Most letters deal with class field theory and shed a light on the birth of one of its most profound results: Artin's reciprocity law.

Reviews

From the book reviews:

“There is extensive mathematical and biographical commentary accompanying the letters, making it possible to follow the discussion without having to be familiar with class field theory and its history. … For anyone interested in the history of number theory in the 20th century, this book is a must-have.” (Fernando Q. Gouvêa, MAA Reviews, July, 2014)


Table of contents (12 chapters)

  • 1. Introduction

    Frei, Günther (et al.)

    Pages 3-17

    Preview Buy Chapter 30,19 €
  • 2. Emil Artin, his life and his work

    Frei, Günther (et al.)

    Pages 18-24

    Preview Buy Chapter 30,19 €
  • 3. Reminiscing Helmut Hasse

    Frei, Günther (et al.)

    Pages 25-32

    Preview Buy Chapter 30,19 €
  • 4. Reciprocity Laws for Power Residues

    Frei, Günther (et al.)

    Pages 33-37

    Preview Buy Chapter 30,19 €
  • 5. Class Field Theory

    Frei, Günther (et al.)

    Pages 38-40

    Preview Buy Chapter 30,19 €

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-0348-0715-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-0348-0714-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Emil Artin and Helmut Hasse
Book Subtitle
The Correspondence 1923-1958
Editors
  • Günther Frei
  • Franz Lemmermeyer
  • Peter J. Roquette
Series Title
Contributions in Mathematical and Computational Sciences
Series Volume
5
Copyright
2014
Publisher
Springer Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0715-9
DOI
10.1007/978-3-0348-0715-9
Hardcover ISBN
978-3-0348-0714-2
Series ISSN
2191-303X
Edition Number
1
Number of Pages
XX, 484
Number of Illustrations and Tables
25 b/w illustrations
Topics