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Exposition by Emil Artin

Exposition by Emil Artin

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Summary

Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. This book gathers a selection of his writings.

Exposition by Emil Artin Summary

Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. He also discovered and proved the Artin reciprocity law, the culmination of over a century and a half of progress in algebraic number theory. Artin had a great influence on the development of mathematics in his time, both by means of his many contributions to research and by the high level and excellence of his teaching and expository writing. In this volume we gather together in one place a selection of his writings wherein the reader can learn some beautiful mathematics as seen through the eyes of a true master. The volume's Introduction provides a short biographical sketch of Emil Artin, followed by an introduction to the books and papers included in the volume. The reader will first find three of Artin's short books, titled The Gamma Function, Galois Theory, and Theory of Algebraic Numbers, respectively. These are followed by papers on algebra, algebraic number theory, real fields, braid groups, and complex and functional analysis. The three papers on real fields have been translated into English for the first time. The flavor of these works is best captured by the following quote of Richard Brauer. ""There are a number of books and sets of lecture notes by Emil Artin. Each of them presents a novel approach. There are always new ideas and new results. It was a compulsion for him to present each argument in its purest form, to replace computation by conceptual arguments, to strip the theory of unnecessary ballast. What was the decisive point for him was to show the beauty of the subject to the reader."" Information for our distributors: Copublished with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

Table of Contents

Introduction by M. Rosen Books by Emil Artin: The Gamma Function by E. Artin Galois Theory by E. Artin Theory of Algebraic Numbers by E. Artin Papers by Emil Artin: Axiomatic characterization of fields by the product formula for valuations by E. Artin and G. Whaples A note on axiomatic characterization of fields by E. Artin and G. Whaples A characterization of the field of real algebraic numbers by E. Artin The algebraic construction of real fields by E. Artin and O. Schreier A characterization of real closed fields by E. Artin and O. Schreier The theory of braids by E. Artin Theory of braids by E. Artin On the theory of complex functions by E. Artin A proof of the Krein-Milman theorem by E. Artin The influence of J. H. M. Wedderbum on the development of modern algebra by E. Artin.

Additional information

GOR010957808
Exposition by Emil Artin: A Selection by
Used - Very Good
Paperback
American Mathematical Society
2006-11-15
0821841726
9780821841723
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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