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Numerical Algorithms for Number Theory - Using Pari/GP (Paperback) Loot Price: R3,346
Discovery Miles 33 460
Numerical Algorithms for Number Theory - Using Pari/GP (Paperback): Karim Belabas, Henri Cohen

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

Karim Belabas, Henri Cohen

Series: Mathematical Surveys and Monographs

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Loot Price R3,346 Discovery Miles 33 460 | Repayment Terms: R314 pm x 12*

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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
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LSN: 1-4704-6351-2
Barcode: 9781470463519

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