Numerical recipes in C

The art of scientific computing

William H. Press, Saul A. Teukolsky, William T. Vetterling

994 pages, parution le 11/02/1993 (2^eme édition)

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Résumé

This is the greatly revised and expanded Second Edition of the hugely popular Numerical Recipes: The Art of Scientific Computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines bringing the total to well over 300, plus upgraded versions of the original routines, the new edition remains the most practical, comprehensive handbook of scientific computing available today.

Highlights of the new material include:

A new chapter on integral equations and inverse methods
Multigrid and other methods for solving partial differential equations
Improved random number routines
Wavelet transforms
The statistical bootstrap method
A new chapter on "less-numerical" algorithms including compression coding and arbitrary precision arithmetic

The book retains the informal easy-to-read style that made the first edition so popular, while introducing some more advanced topics. It is an ideal reference for scientists and engineers and indispensable to anyone who works in scientific computing. The Second Edition is available in the increasingly popular C language and in FORTRAN, the traditional language for numerical calculations. The C version takes advantage of many unique features of the C language including dynamic memory allocation, modularization, pointer reference to matrices, structured programming, and much more.

Table of contents

Preface to the Second Edition ..... xi

Preface to the First Edition ..... xiv

Legal Matters ..... xvi

Computer Programs by Chapter and Section ..... xix

Chapter 1: Preliminaries ..... 1

Chapter 2: Solutions of Linear Algebraic Equations ..... 32

Chapter 3: Interpolation and Extrapolation ..... 105

Chapter 4: Integration of Functions ..... 129

Chapter 5: Evaluation of Functions ..... 165

Chapter 6: Special Functions ..... 212

Chapter 7: Random Numbers ..... 274

Chapter 8: Sorting ..... 329

Chapter 9: Root Finding and Nonlinear Sets of Equations ..... 347

Chapter 10: Minimization or Maximization of Functions ..... 394

Chapter 11: Eigensystems ..... 456

Chapter 12: Fast Fourier Transform ..... 496

Chapter 13: Fourier and Spectral Applications ..... 537

Chapter 14: Statistical Description of Data ..... 609

Chapter 15: Modeling of Data ..... 656

Chapter 16: Integration of Ordinary Differential Equations ..... 707

Chapter 17: Two Point Boundary Value Problems ..... 753

Chapter 18: Integral Equations and Inverse Theory ..... 788

Chapter 19: Partial Differential Equations ..... 827

Chapter 20: Less-Numerical Algorithms ..... 889

References ..... 926

Appendix A: Table of Prototype Declarations ..... 930

Appendix B: Utility Routines ..... 940

Appendix C: Complex Arithmetic ..... 948

Index of Programs and Dependencies ..... 951

General Index ..... 965

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	William H. Press, Saul A. Teukolsky, William T. Vetterling
Parution	11/02/1993
Édition	2^eme édition
Nb. de pages	994
Format	17 x 25,2
Couverture	Relié
Intérieur	Noir et Blanc
EAN13	9780521431088
ISBN13	978-0-521-43108-8