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  • © 2014

Emil Artin and Helmut Hasse

The Correspondence 1923-1958

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Contributions in Mathematical and Computational Sciences (CMCS, volume 5)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xx
  2. Introduction to the Correspondence

    1. Front Matter

      Pages 1-1
    2. 1. Introduction

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 3-17
    3. 2. Emil Artin, his life and his work

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 18-24
    4. 3. Reminiscing Helmut Hasse

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 25-32
    5. 4. Reciprocity Laws for Power Residues

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 33-37
    6. 5. Class Field Theory

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 38-40
    7. 6. Time Table

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 41-44
  3. The Letters

    1. Front Matter

      Pages 45-45
    2. 1. 1923–1926

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 47-104
    3. 2. 1927

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 105-217
    4. 3. 1928–1929

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 219-264
    5. 4. 1930–1934

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 265-409
    6. 5. 1937–1938

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 411-421
    7. 6. 1953–1958

      • Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 423-458
  4. Back Matter

    Pages 459-484

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)

Editors and Affiliations

  • Hombrechtikon, Switzerland

    Günther Frei

  • Jagstzell, Germany

    Franz Lemmermeyer

  • Universität Heidelberg, Heidelberg, Germany

    Peter J. Roquette

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 199.99
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