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The Hasse - Noether Correspondence 1925 -1935

English Translation with Extensive Commentary

  • Book
  • © 2022

Overview

Authors:
  1. Peter Roquette

    1. Mathematical Institute, Heidelberg University, Heidelberg, Germany

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  2. Franz Lemmermeyer

    1. Jagstzell, Germany

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  • Detailed comments clarify the content of the letters in their historical content
  • Can be used as an introduction to modern class field theory
  • Ilustrates the evolution of mathematical concepts and structures

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2317)

Part of the book sub series: History of Mathematics Subseries (HISTORYMS)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-VII
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  2. Introduction

    • Peter Roquette, Franz Lemmermeyer
    Pages 1-12

  3. Class Field Theory

    • Peter Roquette, Franz Lemmermeyer
    Pages 13-42

  4. The Letters

    • Peter Roquette, Franz Lemmermeyer
    Pages 43-287

  5. Back Matter

    Pages 289-321
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Keywords

About this book

Providing the first comprehensive account of the widely unknown cooperation and friendship between Emmy Noether and Helmut Hasse, this book contains English translations of all available letters which were exchanged between them in the years 1925-1935. It features a special chapter on class field theory, a subject which was completely renewed in those years, Noether and Hasse being among its main proponents.  These historical items give evidence that Emmy Noether's impact on the development of mathematics is not confined to abstract algebra but also extends to important ideas in modern class field theory as part of algebraic number theory. In her letters, details of proofs appear alongside conjectures and speculations, offering a rich source for those who are interested in the rise and development of mathematical notions and ideas. The letters are supplemented by extensive comments, helping the reader to understand their content within the mathematical environment of the 1920s and 1930s. 





Authors and Affiliations

  • Mathematical Institute, Heidelberg University, Heidelberg, Germany

    Peter Roquette

  • Jagstzell, Germany

    Franz Lemmermeyer

Bibliographic Information

  • Book Title: The Hasse - Noether Correspondence 1925 -1935

  • Book Subtitle: English Translation with Extensive Commentary

  • Authors: Peter Roquette, Franz Lemmermeyer

  • Translated by: Robert Perlis

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-031-12880-6

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2022

  • Softcover ISBN: 978-3-031-12879-0Published: 26 January 2023

  • eBook ISBN: 978-3-031-12880-6Published: 25 January 2023

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 321

  • Number of Illustrations: 1 b/w illustrations

  • Additional Information: Edited and commented English translation of the original German edition published by Universitätsverlag Göttingen, 2006

  • Topics: History of Mathematical Sciences

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