Numerical Algorithms for Number Theory: Using Pari/GP (Mathematical Surveys and Monographs) - Tapa blanda

Belabas, Karim; Cohen, Henri

 
9781470463519: Numerical Algorithms for Number Theory: Using Pari/GP (Mathematical Surveys and Monographs)
Tapa blanda
ISBN 10: 1470463512 ISBN 13: 9781470463519
Editorial: American Mathematical Society, 2021

Sinopsis

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.

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Acerca del autor

Karim Belabas, Universite de Bordeaux, France, and Henri Cohen, Universite de Bordeaux, France

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2021
Idioma
Inglés
ISBN 10 
1470463512
ISBN 13 
9781470463519
Encuadernación
Tapa blanda
Número de páginas
430
Contacto del fabricante
no disponible
Persona responsable
no disponible