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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.
List of contents
Part I: Introduction to the Correspondence.- 1. Introduction.- 2. Emil Artin, his Life and his Work.- 3. Reminiscing Helmut Hasse.- 4. Reciprocity Laws for Power Residues.- 5. Class Field Theory.- 6. Time Table.- Part II: The Letters. References.- Name Index.- Subject Index.
About the author
Günther Frei ist am 15. Juli 1965 in Tscherms/Südtirol als erstes von drei Kindern geboren. Er besuchte die Volksschule in Tscherms und die Mittelschule im Nachbarsdorf Lana. Nach Abschluss der Schulpflicht absolvierte er eine Berufsausbildung für Elektriker sowie für Radio- und Fernsehtechnik. 1987 wechselte er in den Bereich der biomedizinischen Technik und war mehrere Jahre im Krankenhaus von Meran tätig. 1998 nahm er das Studium an der Philosophisch-Theologischen Hochschule von Brixen auf und trat gleichzeitig in das Priesterseminar von Brixen ein. Im Jahr 2003 beendete er sein Theologiestudium an der Hochschule von Brixen.
Franz Lemmermeyer hat nach seiner Promotion in Heidelberg und seiner Habilitation in Bonn an Universitäten in den USA und in der Türkei gelehrt, und unterrichtet seit 2007 Mathematik am Gymnasium St. Gertrudis in Ellwangen.
Summary
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.
Additional text
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)
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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)
