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An Introduction to Number Theory
Buch von Thomas Ward (u. a.)
Sprache: Englisch

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Beschreibung
An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject.

A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.

Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory.
An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject.

A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.

Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory.
Zusammenfassung

This text covers material from both the algebraic and analytic disciplines and includes coverage of recent developments, such as the new primality test and other topics of significant interest, which are often omitted from other books at this level. It aims to take readers to a deeper understanding of the patterns of thought that have shaped the modern understanding of number theory.

Inhaltsverzeichnis
A Brief History of Prime.- Diophantine Equations.- Quadratic Diophantine Equations.- Recovering the Fundamental Theorem of Arithmetic.- Elliptic Curves.- Elliptic Functions.- Heights.- The Riemann Zeta Function.- The Functional Equation of the Riemann Zeta Function.- Primes in an Arithmetic Progression.- Converging Streams.- Computational Number Theory.
Details
Erscheinungsjahr: 2005
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: ix
297 S.
16 s/w Illustr.
16 Illustr.
ISBN-13: 9781852339173
ISBN-10: 1852339179
Sprache: Englisch
Herstellernummer: 11316527
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Ward, Thomas
Everest, G.
Hersteller: Springer London
Springer-Verlag London Ltd.
Graduate Texts in Mathematics
Maße: 241 x 160 x 22 mm
Von/Mit: Thomas Ward (u. a.)
Erscheinungsdatum: 15.06.2005
Gewicht: 0,641 kg
Artikel-ID: 102399231
Zusammenfassung

This text covers material from both the algebraic and analytic disciplines and includes coverage of recent developments, such as the new primality test and other topics of significant interest, which are often omitted from other books at this level. It aims to take readers to a deeper understanding of the patterns of thought that have shaped the modern understanding of number theory.

Inhaltsverzeichnis
A Brief History of Prime.- Diophantine Equations.- Quadratic Diophantine Equations.- Recovering the Fundamental Theorem of Arithmetic.- Elliptic Curves.- Elliptic Functions.- Heights.- The Riemann Zeta Function.- The Functional Equation of the Riemann Zeta Function.- Primes in an Arithmetic Progression.- Converging Streams.- Computational Number Theory.
Details
Erscheinungsjahr: 2005
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: ix
297 S.
16 s/w Illustr.
16 Illustr.
ISBN-13: 9781852339173
ISBN-10: 1852339179
Sprache: Englisch
Herstellernummer: 11316527
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Ward, Thomas
Everest, G.
Hersteller: Springer London
Springer-Verlag London Ltd.
Graduate Texts in Mathematics
Maße: 241 x 160 x 22 mm
Von/Mit: Thomas Ward (u. a.)
Erscheinungsdatum: 15.06.2005
Gewicht: 0,641 kg
Artikel-ID: 102399231
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