Name: Number Theory: Multiplicative and Additive with Factorization and Primality Testing (en Inglés)
SKU: 66200722
Price: 76.42 USD
Availability: InStock
Author: Schumer, Peter D.
ISBN: 9783111578675

portada Number Theory: Multiplicative and Additive with Factorization and Primality Testing (en Inglés)

Number Theory: Multiplicative and Additive with Factorization and Primality Testing (en Inglés)

Formato

Libro Físico

Editorial

de Gruyter

Autor

Schumer, Peter D.

Idioma

Inglés

N° páginas

364

Encuadernación

Tapa Blanda

Dimensiones

24.4x17x1.9 cm

ISBN13

9783111578675

Number Theory: Multiplicative and Additive with Factorization and Primality Testing (en Inglés)

Schumer, Peter D. (Autor) · de Gruyter · Tapa Blanda

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Reseña del libro "Number Theory: Multiplicative and Additive with Factorization and Primality Testing (en Inglés)"

This is a book for an undergraduate number theory course, senior thesis work, graduate level study, or for those wishing to learn about applications of number theory to data encryption and security. With no abstract algebra background required, it covers congruences, the Euclidean algorithm, linear Diophantine equations, the Chinese Remainder Theorem, Mobius inversion formula, Pythagorean triplets, perfect numbers and amicable pairs, Law of Quadratic Reciprocity, theorems on sums of squares, Farey fractions, periodic continued fractions, best rational approximations, and Pell's equation. Results are applied to factoring and primality testing including those for Mersenne and Fermat primes, probabilistic primality tests, Pollard's rho and p-1 factorization algorithms, and others. Also an introduction to cryptology with a full discussion of the RSA algorithm, discrete logarithms, and digital signatures. Chapters on analytic number theory including the Riemann zeta function, average orders of the lattice and divisor functions, Chebyshev's theorems, and Bertrand's Postulate. A chapter introduces additive number theory with discussion of Waring's Problem, the pentagonal number theorem for partitions, and Schnirelmann density.