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Cover: 9781441928146 | Lectures on the Theory of Algebraic Numbers | E. T. Hecke | Buch
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Lectures on the Theory of Algebraic Numbers
Taschenbuch von E. T. Hecke
Sprache: Englisch

72,85 €*

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. . . 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.
. . . 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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 260
Reihe: Graduate Texts in Mathematics
Inhalt: xii
242 S.
ISBN-13: 9781441928146
ISBN-10: 1441928146
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hecke, E. T.
Übersetzung: Goldman, J. -R.
Kotzen, R.
Brauer, G. R.
Auflage: Softcover reprint of hardcover 1st ed. 1981
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 235 x 155 x 15 mm
Von/Mit: E. T. Hecke
Erscheinungsdatum: 03.12.2010
Gewicht: 0,4 kg
preigu-id: 107174048
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 260
Reihe: Graduate Texts in Mathematics
Inhalt: xii
242 S.
ISBN-13: 9781441928146
ISBN-10: 1441928146
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hecke, E. T.
Übersetzung: Goldman, J. -R.
Kotzen, R.
Brauer, G. R.
Auflage: Softcover reprint of hardcover 1st ed. 1981
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 235 x 155 x 15 mm
Von/Mit: E. T. Hecke
Erscheinungsdatum: 03.12.2010
Gewicht: 0,4 kg
preigu-id: 107174048
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