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portada Elementary Number Theory
Type
Physical Book
Publisher
Author
Language
English
Pages
410
Format
Paperback
ISBN13
9781032920351
Edition No.
1

Elementary Number Theory

Lawrence C. Washington; James S. Kraft (Author) · Crc Press · Paperback

Elementary Number Theory - Lawrence C. Washington; James S. Kraft

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Synopsis "Elementary Number Theory"

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.

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