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An Introduction to Number Theory with Cryptography

Autor James S. Kraft, Lawrence C. Washington
en Limba Engleză Hardback – 6 sep 2013
Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction to Number Theory with Cryptography presents number theory along with many interesting applications. Designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage. The "Check Your Understanding" problems aid in learning the basics, and there are numerous exercises, projects, and computer explorations of varying levels of difficulty.
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Specificații

ISBN-13: 9781482214413
ISBN-10: 1482214415
Pagini: 572
Ilustrații: 18 black & white illustrations
Dimensiuni: 156 x 234 x 31 mm
Greutate: 0.94 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Public țintă

Undergraduate students in mathematics and computer science.

Cuprins

Introduction. Divisibility. Unique Factorization. Applications of Unique Factorization. Congruences. Cryptographic Applications. Polynomial Congruences. Order and Primitive Roots. More Cryptographic Applications. Quadratic Reciprocity. Primality and Factorization. Geometry of Numbers. Arithmetic Functions. Continued Fractions. Gaussian Integers. Algebraic Integers. Analytic Methods. Epilogue: Fermat's Last Theorem. A Supplementary Topics.

Recenzii

"… provides a fine history of number theory and surveys its applications. College-level undergrads will appreciate the number theory topics, arranged in a format suitable for any standard course in the topic, and will also appreciate the inclusion of many exercises and projects to support all the theory provided. In providing a foundation text with step-by-step analysis, examples, and exercises, this is a top teaching tool recommended for any cryptography student or instructor."
—California Bookwatch, January 2014

Notă biografică

James S. Kraft, Lawrence C. Washington

Descriere

Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction to Number Theory with Cryptography presents number theory along with many interesting applications. Designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage. The "Check Your Understanding" problems aid in learning the basics, and there are numerous exercises, projects, and computer explorations of varying levels of difficulty.