عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781441928146
(Number (ISBN
9781475740929
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Lectures on the Theory of Algebraic Numbers
General Material Designation
[Book]
First Statement of Responsibility
by Erich Hecke.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1981.
SERIES
Series Title
Graduate Texts in Mathematics,
Volume Designation
77
ISSN of Series
0072-5285 ;
CONTENTS NOTE
Text of Note
I Elements of Rational Number Theory -- II Abelian Groups -- III Abelian Groups in Rational Number Theory -- IV Algebra of Number Fields -- V General Arithmetic of Algebraic Number Fields -- VI Introduction of Transcendental Methods into the Arithmetic of Number Fields -- VII The Quadratic Number Field -- VIII The Law of Quadratic Reciprocity in Arbitrary Number Fields -- Chronological Table -- References.
0
SUMMARY OR ABSTRACT
Text of Note
. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441928146
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Mathematics.
Number theory.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hecke, Erich.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307154900.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
