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＜電子ブック＞
Lectures on the Theory of Algebraic Numbers / by E. T. Hecke
(Graduate Texts in Mathematics. ISSN:21975612 ; 77)

版	1st ed. 1981.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1981
本文言語	英語
大きさ	XII, 242 p : online resource
冊子体	Lectures on the theory of algebraic numbers / Erich Hecke ; translated by George U. Brauer and Jay R. Goldman with the assistance of R. Kotzen ; : us,: gw
著者標目	*Hecke, E. T author SpringerLink (Online service)
件　名	LCSH:Number theory FREE:Number Theory
一般注記	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 . . . 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4757-4092-9

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