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.
Author(s): Peter Roquette
Series: Heritage of European Mathematics
Publisher: European Mathematical Society
Year: 2012
Language: English
Pages: 290
Preface......Page 7
Contents......Page 9
List of figures......Page 11
The Brauer–Hasse–Noether Theorem......Page 13
The remarkable career of Otto Grün......Page 89
At Emmy Noether's funeral......Page 129
Emmy Noether and Hermann Weyl......Page 141
Emmy Noether: The testimonials......Page 175
Abraham Robinson and his infinitesimals......Page 187
Cahit Arf and his invariant......Page 201
Hasse–Arf–Langlands......Page 235
Ernst Steinitz and abstract field theory......Page 239
Heinrich-Wolfgang Leopoldt......Page 251
On Hoechsmann's Theorem......Page 257
Acknowledgements......Page 267
Bibliography......Page 269
Name Index......Page 285
Subject Index......Page 289