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Cover: 9781849969598 | An Introduction to Number Theory | Thomas Ward (u. a.) | Taschenbuch
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An Introduction to Number Theory
Taschenbuch 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: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 308
Reihe: Graduate Texts in Mathematics
Inhalt: ix
297 S.
16 s/w Illustr.
ISBN-13: 9781849969598
ISBN-10: 1849969590
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ward, Thomas
Everest, G.
Auflage: Softcover reprint of hardcover 1st ed. 2005
Hersteller: Springer London
Graduate Texts in Mathematics
Maße: 235 x 155 x 17 mm
Von/Mit: Thomas Ward (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,47 kg
preigu-id: 107247697
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: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 308
Reihe: Graduate Texts in Mathematics
Inhalt: ix
297 S.
16 s/w Illustr.
ISBN-13: 9781849969598
ISBN-10: 1849969590
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ward, Thomas
Everest, G.
Auflage: Softcover reprint of hardcover 1st ed. 2005
Hersteller: Springer London
Graduate Texts in Mathematics
Maße: 235 x 155 x 17 mm
Von/Mit: Thomas Ward (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,47 kg
preigu-id: 107247697
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