Computational Excursions in Analysis and Number Theory
Title | Computational Excursions in Analysis and Number Theory PDF eBook |
Author | Peter Borwein |
Publisher | Springer Science & Business Media |
Pages | 220 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 0387216529 |
This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.
A Course in Computational Number Theory
Title | A Course in Computational Number Theory PDF eBook |
Author | David Bressoud |
Publisher | Wiley |
Pages | 0 |
Release | 2008-06-10 |
Genre | Mathematics |
ISBN | 9780470412152 |
A Course in Computational Number Theory uses the computer as a tool for motivation and explanation. The book is designed for the reader to quickly access a computer and begin doing personal experiments with the patterns of the integers. It presents and explains many of the fastest algorithms for working with integers. Traditional topics are covered, but the text also explores factoring algorithms, primality testing, the RSA public-key cryptosystem, and unusual applications such as check digit schemes and a computation of the energy that holds a salt crystal together. Advanced topics include continued fractions, Pell’s equation, and the Gaussian primes.
Excursions in Computational and Diophantine Number Theory
Title | Excursions in Computational and Diophantine Number Theory PDF eBook |
Author | Peter B. Borwein |
Publisher | |
Pages | 220 |
Release | 2002 |
Genre | Diophantine analysis |
ISBN |
An Introduction to Number Theory
Title | An Introduction to Number Theory PDF eBook |
Author | G. Everest |
Publisher | Springer Science & Business Media |
Pages | 296 |
Release | 2007-05-21 |
Genre | Mathematics |
ISBN | 1852339179 |
Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight
Number Theory and Polynomials
Title | Number Theory and Polynomials PDF eBook |
Author | James Fraser McKee |
Publisher | Cambridge University Press |
Pages | 350 |
Release | 2008-05-08 |
Genre | Mathematics |
ISBN | 0521714672 |
Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.
Algorithmic Number Theory
Title | Algorithmic Number Theory PDF eBook |
Author | Duncan Buell |
Publisher | Springer Science & Business Media |
Pages | 461 |
Release | 2004-06 |
Genre | Computers |
ISBN | 3540221565 |
This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004. The 30 revised full papers presented together with 3 invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are zeta functions, elliptic curves, hyperelliptic curves, GCD algorithms, number field computations, complexity, primality testing, Weil and Tate pairings, cryptographic algorithms, function field sieve, algebraic function field mapping, quartic fields, cubic number fields, lattices, discrete logarithms, and public key cryptosystems.
Multiplicative Number Theory I
Title | Multiplicative Number Theory I PDF eBook |
Author | Hugh L. Montgomery |
Publisher | Cambridge University Press |
Pages | 574 |
Release | 2007 |
Genre | Mathematics |
ISBN | 9780521849036 |
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.