Elementary Number Theory

James S Kraft

ISBN 10: 1032920351 ISBN 13: 9781032920351
Verlag: CRC Press Okt 2024, 2024
Neu Taschenbuch

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Beschreibung

Beschreibung:

Neuware - This text teaches students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. Designed for a one-semester undergraduate course in number theory, the book offers many pedagogical features. 'Check your understanding' problems assess whether students have learned essential information. Bestandsnummer des Verkäufers 9781032920351

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Inhaltsangabe:

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas.

The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the text covers linear Diophantine equations; unique factorization; congruences; Fermat’s, Euler’s, and Wilson’s theorems; order and primitive roots; and quadratic reciprocity. The authors also discuss numerous cryptographic topics, such as RSA and discrete logarithms, along with recent developments.

The book offers many pedagogical features. The "check your understanding" problems scattered throughout the chapters assess whether students have learned essential information. At the end of every chapter, exercises reinforce an understanding of the material. Other exercises introduce new and interesting ideas while computer exercises reflect the kinds of explorations that number theorists often carry out in their research.

Über die Autorin bzw. den Autor:

James S. Kraft teaches mathematics at the Gilman School. He has previously taught at the University of Rochester, St. Mary’s College of California, and Ithaca College. He has also worked in communications security. Dr. Kraft has published several research papers in algebraic number theory. He received his Ph.D. from the University of Maryland.

Lawrence C. Washington is a professor of mathematics and Distinguished Scholar-Teacher at the University of Maryland. Dr. Washington has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. He received his Ph.D. from Princeton University.

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Bibliografische Details

Titel: Elementary Number Theory
Verlag: CRC Press Okt 2024
Erscheinungsdatum: 2024
Einband: Taschenbuch
Zustand: Neu

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Kraft, James S.; Washington, Lawrence C.
Verlag: Chapman and Hall/CRC, 2024
ISBN 10: 1032920351 ISBN 13: 9781032920351
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Anbieter: Majestic Books, Hounslow, Vereinigtes Königreich

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