A Computational Introduction to Number Theory and Algebra (V. Shoup) by Victor
Shoup
File Type :Online Number of Pages :NA
Description This book introduces the basic concepts from computational number theory
and algebra, including all the necessary mathematical background. Covered topics
are: Basic properties of the integers, Congruences, Computing with large
integers, Euclid’s algorithm, The distribution of primes, Abelian groups, Rings,
Finite and discrete probability distributions, Probabilistic algorithms,
Probabilistic primality testing, Finding generators and discrete logarithms in
Zp, Quadratic reciprocity and computing modular square roots, Modules and vector
spaces, Matrices, Subexponentialtime discrete logarithms and factoring,
Polynomial arithmetic and applications.
