Contributions to the History of Number Theory in the 20th Century (Heritage of European Mathematics)

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 GГ¶ttingen 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 GГ¶ttingen 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 GrГјn, 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 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. The 20th century was a time of great upheaval and great progress, mathematics not excluded. In order to get the overall picture of trends, developments and results it is illuminating to look at their manifestations locally, in the personal life and work of people living at the time. The university archives of Göttingen harbor a wealth of papers, letters and manuscripts from several generations of mathematicians - documents which tell us the story of the historic developments from a local point of view. The present book offers a number of essays based on documents from Göttingen and elsewhere - essays which are not yet contained in the author's Collected Works. These little pieces, independent from each other, are meant as contributions to the imposing mosaic of history of number theory. They are written for mathematicians but with no special background requirements. Involved are the names 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 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