Fundamental Number Theory with Applications

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A01=Richard A. Mollin
Affine Cipher
Author_Richard A. Mollin
Category=PBH
Category=PBV
Chinese Remainder Theorem
combinatorial mathematics
Continued Fraction Expansion
Continued Fractions
cryptographic applications
diophantine
elementary number theory
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equation
generating functions
Incongruent Solutions
Integer Squares
Jacobi Symbol
Legendre Symbol
Linear Congruential Generator
Mod 13
Mod Mp
Mod Pk
modulo
natural
Natural Numbers
odd
Odd Prime
partition theory
primality testing algorithms
prime
Prime Number Theorem
primitive
Primitive Root
Primitive Root Modulo
quadratic
Quadratic Irrational
Quadratic Reciprocity Law
Quadratic Residue
Quadratic Residue Modulo
residue
Residue System Modulo
root
RSA Cryptosystem
RSA Modulus
Simple Continued Fraction
undergraduate number theory textbook

Product details

  • ISBN 9781420066593
  • Weight: 870g
  • Dimensions: 156 x 234mm
  • Publication Date: 21 Feb 2008
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in its coverage.

New to the Second Edition

• Removal of all advanced material to be even more accessible in scope

• New fundamental material, including partition theory, generating functions, and combinatorial number theory

• Expanded coverage of random number generation, Diophantine analysis, and additive number theory

• More applications to cryptography, primality testing, and factoring

• An appendix on the recently discovered unconditional deterministic polynomial-time algorithm for primality testing

Taking a truly elementary approach to number theory, this text supplies the essential material for a first course on the subject. Placed in highlighted boxes to reduce distraction from the main text, nearly 70 biographies focus on major contributors to the field. The presentation of over 1,300 entries in the index maximizes cross-referencing so students can find data with ease.

Mollin, Richard A.

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