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Cover: 9781441928054 | Introduction to Analytic Number Theory | Tom M. Apostol | Taschenbuch
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Introduction to Analytic Number Theory
Taschenbuch von Tom M. Apostol
Sprache: Englisch

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Beschreibung
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-¿MATHEMATICAL REVIEWS
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-¿MATHEMATICAL REVIEWS
Zusammenfassung
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus.
Inhaltsverzeichnis
1: The Fundamental Theorem of Arithmetic. 2: Arithmetical Functions and Dirichlet Multiplication. 3: Averages of Arithmetical Function. 4: Some Elementary Theorems on the Distribution of Prime Numbers. 5: Congruences. 6: Finite Abelian Groups and Their Characters. 7: Cirichlet's Theorem on Primes in Arithmetic Progressions. 8: Periodic Arithmetical Functions and Gauss Sums. 9: Quadratic Residues and the Quadratic Reciprocity Law. 10: Primitive Roots. 11: Dirichlet Series and Euler Products. 12: The Functions. 13: Analytic Proof of the Prime Number Theorem. 14: Partitions.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 356
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
340 S.
ISBN-13: 9781441928054
ISBN-10: 1441928057
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Apostol, Tom M.
Auflage: Softcover reprint of hardcover 1st ed. 1976
Hersteller: Springer US
Springer New York
Undergraduate Texts in Mathematics
Maße: 279 x 210 x 20 mm
Von/Mit: Tom M. Apostol
Erscheinungsdatum: 01.12.2010
Gewicht: 0,868 kg
preigu-id: 107181513
Zusammenfassung
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus.
Inhaltsverzeichnis
1: The Fundamental Theorem of Arithmetic. 2: Arithmetical Functions and Dirichlet Multiplication. 3: Averages of Arithmetical Function. 4: Some Elementary Theorems on the Distribution of Prime Numbers. 5: Congruences. 6: Finite Abelian Groups and Their Characters. 7: Cirichlet's Theorem on Primes in Arithmetic Progressions. 8: Periodic Arithmetical Functions and Gauss Sums. 9: Quadratic Residues and the Quadratic Reciprocity Law. 10: Primitive Roots. 11: Dirichlet Series and Euler Products. 12: The Functions. 13: Analytic Proof of the Prime Number Theorem. 14: Partitions.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 356
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
340 S.
ISBN-13: 9781441928054
ISBN-10: 1441928057
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Apostol, Tom M.
Auflage: Softcover reprint of hardcover 1st ed. 1976
Hersteller: Springer US
Springer New York
Undergraduate Texts in Mathematics
Maße: 279 x 210 x 20 mm
Von/Mit: Tom M. Apostol
Erscheinungsdatum: 01.12.2010
Gewicht: 0,868 kg
preigu-id: 107181513
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