Number Theory (2nd Ed., Softcover reprint of the original 2nd ed. 2016) An Introduction via the Density of Primes
Auteurs : Fine Benjamin, Rosenberger Gerhard
- A solid introduction to analytic number theory, including full proofs of Dirichlet's Theorem and the Prime Number Theorem
- Concise treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of ideals
- Discussion of the AKS algorithm, which shows that primality testing is one of polynomial time, a topic not usually included in such texts
- Many interesting ancillary topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers
Benjamin Fine, PhD, is Professor of Mathematics at Fairfield University, CT, USA.
Gerhard Rosenberger, PhD, is Professor (retired) at Dortmund University of Technology, Germany.
A solid introduction to analytic number theory, including full proofs of Dirichlet's Theorem and the Prime Number Theorem
Concise treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of ideals
One of the few books to include the AKS algorithm that shows that primality testing is one of polynomial time
Many interesting ancillary topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers
Includes supplementary material: sn.pub/extras
Date de parution : 09-2016
Ouvrage de 413 p.
15.5x23.5 cm
Date de parution : 06-2018
Ouvrage de 413 p.
15.5x23.5 cm