Emil Artin and Helmut Hasse The Correspondence 1923-1958 [Hardcover]

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.

The exchange of letters, over more than three decades, between these two giants of mathematics affords a unique perspective on the evolution of class field theory and Artins reciprocity law. This is the first English translation of the correspondence.

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.

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. Gouv?a, MAA Reviews, July, 2014)

This volume presents English translations of the letters exchanged between Emil Artin and Helmut Hasse written from 1921 to 1958. The letters are accompanied by extensive comments explaining the mathematical background and providing other essential context. Most letters deal with class field theory and shed new light on the birth of one of its most profound results: Artins reciprocity law.

Insight into the birth of class field theory by presenting the letters between two of its main contributors, Emil Artin and Helmut Hasse

First English translation of these letlc…