Numerical Algorithms for Number Theory - Using Pari/GP (Paperback)

This book presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the Riemann-Siegel formula), evaluation and speed of convergence of continued fractions, Euler products and Euler sums, inverse Mellin transforms, and complex $L$-functions. For each task, many algorithms are presented, such as Gaussian and doubly-exponential integration, Euler-MacLaurin, Abel-Plana, Lagrange, and Monien summation. Each algorithm is given in detail, together with a complete implementation in the free Pari/GP system. These implementations serve both to make even more precise the inner workings of the algorithms, and to gently introduce advanced features of the Pari/GP language. This book will be appreciated by anyone interested in number theory, specifically in practical implementations, computer experiments and numerical algorithms that can be scaled to produce thousands of digits of accuracy.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Mathematical Surveys and Monographs
Release date:	July 2021
Authors:	Karim Belabas • Henri Cohen
Dimensions:	254 x 178 x 25mm (L x W x T)
Format:	Paperback
Pages:	430
ISBN-13:	978-1-4704-6351-9
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	1-4704-6351-2
Barcode:	9781470463519

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!