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Introduction to Number Theory with Cryptography

James Kraft | Lawrence Washington
€137.99
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A01=James Kraft
A01=Lawrence Washington
advanced problem solving
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algebraic structures
Author_James Kraft
Author_Lawrence Washington
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Category1=Non-Fiction
Category=GPJ
Category=PBH
Category=PBW
Category=URY
Chinese Remainder Theorem
cipher analysis
computational number theory
Congruences Mod
COP=United Kingdom
Cryptogaphic applications
Cryptography
Delivery_Delivery within 10-20 working days
Discrete Log Problem
Division Algorithm
Elliptic Curves
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eq_computing
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eq_nobargain
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Euclidean Algorithm
Extended Euclidean Algorithm
Factorization
Fermat's Theorem
Fermat’s Theorem
Gaussian Integers
Induction
Integer Coefficients
Integers
James S. Kraft
Language_English
Lawrence C. Washington
Linear Diophantine Equation
mathematical proofs
Mersenne Primes
Mod 13
Number theory
Odd Primes
PA=Available
Pell's Equation
Pell’s Equation
Positive Integer
Price_€100 and above
Prime Number Theorem
Primes
Primitive Root
Primitive Roots Mod
PS=Active
Pythagorean Triples
Quadratic Reciprocity
RSA Cryptosystem
RSA Signature Scheme
softlaunch
Solution Mod
undergraduate cryptography course
undergraduate mathematics

Product details

  • ISBN 9781138063471
  • Weight: 1000g
  • Dimensions: 156 x 234mm
  • Publication Date: 31 Jan 2018
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
  • Language: English
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Description

Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory.

The authors have written the text in an engaging style to reflect number theory's increasing popularity. The book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. It includes a few more advanced topics for students who wish to explore beyond the traditional curriculum.

Features of the second edition include

  • Over 800 exercises, projects, and computer explorations
  • Increased coverage of cryptography, including Vigenere, Stream, Transposition,and Block ciphers, along with RSA and discrete log-based systems
  • "Check Your Understanding" questions for instant feedback to students
  • New Appendices on "What is a proof?" and on Matrices
  • Select basic (pre-RSA) cryptography now placed in an earlier chapter so that the topic can be covered right after the basic material on congruences
  • Answers and hints for odd-numbered problems

About the Authors:

Jim Kraft received his Ph.D. from the University of Maryland in 1987 and has published several research papers in algebraic number theory. His previous teaching positions include the University of Rochester, St. Mary's College of California, and Ithaca College, and he has also worked in communications security. Dr. Kraft currently teaches mathematics at the Gilman School.

Larry Washington received his Ph.D. from Princeton University in 1974 and has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. Dr. Washington is currently Professor of Mathematics and Distinguished Scholar-Teacher at the University of Maryland.
About James Kraft | Lawrence Washington
Jim Kraft received his Ph.D. from the University of Maryland in 1987 and has published several research papers in algebraic number theory. His previous teaching positions include the University of Rochester, St. Mary's College of California, and Ithaca College, and he has also worked in communications security. Dr. Kraft currently teaches mathematics at the Gilman School. Larry Washington received his Ph.D. from Princeton University in 1974 and has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. Dr. Washington is currently Professor of Mathematics and Distinguished Scholar-Teacher at the University of Maryland.

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