東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Emil Artin and Beyond - Class Field ...

Dumbaugh, Della,

Linked to FindBook

Google Book

Amazon

博客來

Emil Artin and Beyond - Class Field Theory and L-Functions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Emil Artin and Beyond - Class Field Theory and L-Functions/ Della Dumbaugh, Joachim Schwermer
Author:	Dumbaugh, Della,
other author:	Schwermer, Joachim,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2015,
Description:	1 online resource (245 pages)
Subject:	History of mathematics -
Online resource:	https://doi.org/10.4171/146
Online resource:	https://www.ems-ph.org/img/books/schwermer_mini.jpg
ISBN:	9783037196465

Emil Artin and Beyond - Class Field Theory and L-Functions
Dumbaugh, Della,

Emil Artin and Beyond - Class Field Theory and L-Functions[electronic resource] /Della Dumbaugh, Joachim Schwermer - Zuerich, Switzerland :European Mathematical Society Publishing House,2015 - 1 online resource (245 pages) - Heritage of European Mathematics (HEM) ;2523-5214.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

This book explores the development of number theory, and class field theory in particular, as it passed through the hands of Emil Artin, Claude Chevalley and Robert Langlands in the middle of the twentieth century. Claude Chevalley's presence in Artin's 1931 Hamburg lectures on class field theory serves as the starting point for this volume. From there, it is traced how class field theory advanced in the 1930s and how Artin's contributions influenced other mathematicians at the time and in subsequent years. Given the difficult political climate and his forced emigration as it were, the question of how Artin created a life in America within the existing institutional framework, and especially of how he continued his education of and close connection with graduate students, is considered. In particular, Artin's collaboration in algebraic number theory with George Whaples and his student Margaret Matchett's thesis work "On the zeta-function for ideles" in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a non-abelian class field theory finishes the book. The volume consists of individual essays by the authors and two contributors, James Cogdell and Robert Langlands, and contains relevant archival material. Among these, the letter from Chevalley to Helmut Hasse in 1935 is included, where he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Matchett and the seminal letter of Langlands to André Weil of 1967 where he lays out his ideas regarding a non-abelian class field theory. Taken together, these chapters offer a view of both the life of Artin in the 1930s and 1940s and the development of class field theory at that time. They also provide insight into the transmission of mathematical ideas, the careful steps required to preserve a life in mathematics at a difficult moment in history, and the interplay between mathematics and politics (in more ways than one)....

ISBN: 9783037196465

Standard No.: 10.4171/146doiSubjects--Topical Terms:

3480938
History of mathematics

Emil Artin and Beyond - Class Field Theory and L-Functions
LDR:03043nmm a22003015a 4500 001 2233269
003 CH-001817-3
005 20150319234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20150331sz fot ||| 0|eng d
020 $a 9783037196465
024 7 0 $a 10.4171/146 $2 doi
035 $a 188-150319
040 $a ch0018173
072 7 $a PBX $2 bicssc
084 $a 01-xx $a 11-xx $2 msc
100 1 $a Dumbaugh, Della, $e author. $3 3481090
245 1 0 $a Emil Artin and Beyond - Class Field Theory and L-Functions $h [electronic resource] / $c Della Dumbaugh, Joachim Schwermer
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2015
300 $a 1 online resource (245 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a Heritage of European Mathematics (HEM) ; $x 2523-5214
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a This book explores the development of number theory, and class field theory in particular, as it passed through the hands of Emil Artin, Claude Chevalley and Robert Langlands in the middle of the twentieth century. Claude Chevalley's presence in Artin's 1931 Hamburg lectures on class field theory serves as the starting point for this volume. From there, it is traced how class field theory advanced in the 1930s and how Artin's contributions influenced other mathematicians at the time and in subsequent years. Given the difficult political climate and his forced emigration as it were, the question of how Artin created a life in America within the existing institutional framework, and especially of how he continued his education of and close connection with graduate students, is considered. In particular, Artin's collaboration in algebraic number theory with George Whaples and his student Margaret Matchett's thesis work "On the zeta-function for ideles" in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a non-abelian class field theory finishes the book. The volume consists of individual essays by the authors and two contributors, James Cogdell and Robert Langlands, and contains relevant archival material. Among these, the letter from Chevalley to Helmut Hasse in 1935 is included, where he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Matchett and the seminal letter of Langlands to André Weil of 1967 where he lays out his ideas regarding a non-abelian class field theory. Taken together, these chapters offer a view of both the life of Artin in the 1930s and 1940s and the development of class field theory at that time. They also provide insight into the transmission of mathematical ideas, the careful steps required to preserve a life in mathematics at a difficult moment in history, and the interplay between mathematics and politics (in more ways than one)....
650 0 7 $a History of mathematics $2 bicssc $3 3480938
650 0 7 $a History and biography $2 msc $3 3480934
650 0 7 $a Number theory $v Problems, exercises, etc. $3 1232300
700 1 $a Schwermer, Joachim, $e author. $3 3481091
856 4 0 $u https://doi.org/10.4171/146
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/schwermer_mini.jpg