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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.
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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.
In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory.
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 be introduced to some of the main themes in number theory.
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An Introduction to Number Theory
Editore:
Springer London, 2010
ISBN 10: 1849969590
ISBN 13: 9781849969598
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes up-to-date material on recent developments and topics of significant interest, such as the new primality testSelects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illu. Codice articolo 4289012
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An Introduction to Number Theory
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality testSelects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight 308 pp. Englisch. Codice articolo 9781849969598
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An Introduction to Number Theory
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An Introduction to Number Theory (Graduate Texts in Mathematics, 232)
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An Introduction to Number Theory (Graduate Texts in Mathematics, 232)
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An Introduction to Number Theory
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Springer London, Springer London Okt 2010, 2010
ISBN 10: 1849969590
ISBN 13: 9781849969598
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 308 pp. Englisch. Codice articolo 9781849969598
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An Introduction to Number Theory
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An Introduction to Number Theory
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Introduction to Number Theory
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An Introduction to Number Theory
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Springer London, Springer London, 2010
ISBN 10: 1849969590
ISBN 13: 9781849969598
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9781849969598
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