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Contributions to the History of Number Theory in the 20th Century
Peter Roquette, University of Heidelberg, Germany
A publication of the European Mathematical Society.
Heritage of European Mathematics
2013; 289 pp; hardcover
Volume: 7
ISBN-10: 3-03719-113-9
ISBN-13: 978-3-03719-113-2
List Price: US$98
Member Price: US$78.40
Order Code: EMSHEM/7
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The 20th century was a time of great upheaval and great progress in mathematics. In order to get the overall picture of trends, developments, and results, it is illuminating to examine their manifestations locally, in the personal lives and work of mathematicians who were active during this time. The university archives of Göttingen harbor a wealth of papers, letters, and manuscripts from several generations of mathematicians--documents which tell the story of the historic developments from a local point of view.

This book offers a number of essays based on documents from Göttingen and elsewhere--essays which have not yet been included in the author's collected works. These essays, independent from each other, are meant as contributions to the imposing mosaic of the history of number theory. They are written for mathematicians, but there are no special background requirements.

The essays discuss the works of Abraham Adrian Albert, Cahit Arf, Emil Artin, Richard Brauer, Otto Grün, Helmut Hasse, Klaus Hoechsmann, Robert Langlands, Heinrich-Wolfgang Leopoldt, Emmy Noether, Abraham Robinson, Ernst Steinitz, Hermann Weyl, and others.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.


Graduate students and research mathematicians interested in number theory.


"[T]his book is indispensable to anyone interested in the history of algebra and number theory in the first half of the 20th century."

-- MAA Reviews

Table of Contents

  • The Brauer-Hasse-Noether theorem
  • The remarkable career of Otto Grün
  • At Emmy Noether's funeral
  • Emmy Noether and Hermann Weyl
  • Emmy Noether: The testimonials
  • Abraham Robinson and his infinitesimals
  • Cahit Arf and his invariant
  • Hasse-Arf-Langlands
  • Ernst Steinitz and abstract field theory
  • Heinrich-Wolfgang Leopoldt
  • On Hoechsmann's theorem
  • Acknowledgements
  • Bibliography
  • Name index
  • Subject index
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