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Introduction to number theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to number theory/ Mark Hunacek.
作者:	Hunacek, Mark.
出版者:	Boca Raton, FL :Chapman & Hall/CRC Press, : 2023.,
面頁冊數:	1 online resource.
標題:	Number theory. -
電子資源:	https://www.taylorfrancis.com/books/9781003318712
ISBN:	9781003318712

Introduction to number theory
Hunacek, Mark.

Introduction to number theory[electronic resource] /Mark Hunacek. - 1st ed. - Boca Raton, FL :Chapman & Hall/CRC Press,2023. - 1 online resource. - Textbooks in mathematics. - Textbooks in mathematics..

Includes bibliographical references and index.

Introduction. What is Number Theory? DivisibilityCongruences and Modular ArithmeticCryptography: An IntroductionPerfect NumbersPrimitive RootsQuadratic ReciprocityArithmetic Beyond the Integers

Introduction to Number Theory covers the essential content of an introductory number theory course including divisibility and prime factorization, congruences, and quadratic reciprocity. The instructor may also choose from a collection of additional topics. Aligning with the trend toward smaller, essential texts in mathematics, the author strives for clarity of exposition. Proof techniques and proofs are presented slowly and clearly. The book employs a versatile approach to the use of algebraic ideas. Instructors who wish to put this material into a broader context may do so, though the author introduces these concepts in a non-essential way. A final chapter discusses algebraic systems (like the Gaussian integers) presuming no previous exposure to abstract algebra. Studying general systems helps students to realize unique factorization into primes is a more subtle idea than may at first appear; students will find this chapter interesting, fun and quite accessible. Applications of number theory include several sections on cryptography and other applications to further interest instructors and students alike.

ISBN: 9781003318712Subjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

Introduction to number theory
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504 $a Includes bibliographical references and index.
505 0 $a Introduction. What is Number Theory? DivisibilityCongruences and Modular ArithmeticCryptography: An IntroductionPerfect NumbersPrimitive RootsQuadratic ReciprocityArithmetic Beyond the Integers
520 $a Introduction to Number Theory covers the essential content of an introductory number theory course including divisibility and prime factorization, congruences, and quadratic reciprocity. The instructor may also choose from a collection of additional topics. Aligning with the trend toward smaller, essential texts in mathematics, the author strives for clarity of exposition. Proof techniques and proofs are presented slowly and clearly. The book employs a versatile approach to the use of algebraic ideas. Instructors who wish to put this material into a broader context may do so, though the author introduces these concepts in a non-essential way. A final chapter discusses algebraic systems (like the Gaussian integers) presuming no previous exposure to abstract algebra. Studying general systems helps students to realize unique factorization into primes is a more subtle idea than may at first appear; students will find this chapter interesting, fun and quite accessible. Applications of number theory include several sections on cryptography and other applications to further interest instructors and students alike.
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