Numerical Recipes 3rd Edition: The Art of Scientific Computing / Edition 3

by William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery

Overview

Co-authored by four leading scientists from academia and industry, Numerical Recipes Third Edition starts with basic mathematics and computer science and proceeds to complete, working routines. Widely recognized as the most comprehensive, accessible and practical basis for scientific computing, this new edition incorporates more than 400 Numerical Recipes routines, many of them new or upgraded. The executable C++ code, now printed in color for easy reading, adopts an object-oriented style particularly suited to scientific applications. The whole book is presented in the informal, easy-to-read style that made earlier editions so popular. Please visit www.nr.com or www.cambridge.org/us/numericalrecipes for more details. More information concerning licenses is available at: www.nr.com/licenses New key features:

• 2 new chapters, 25 new sections, 25% longer than Second Edition
• Thorough upgrades throughout the text
• Over 100 completely new routines and upgrades of many more.
• New Classification and Inference chapter, including Gaussian mixture models, HMMs, hierarchical clustering, Support Vector Machines
• New Computational Geometry chapter covers KD trees, quad- and octrees, Delaunay triangulation, and algorithms for lines, polygons, triangles, and spheres
• New sections include interior point methods for linear programming, Monte Carlo Markov Chains, spectral and pseudospectral methods for PDEs, and many new statistical distributions
• An expanded treatment of ODEs with completely new routines

Plus comprehensive coverage of

• linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations, and inverse theory

Product Details

ISBN-13:	9780521880688
Publisher:	Cambridge University Press
Publication date:	09/06/2007
Edition description:	Revised
Pages:	1256
Product dimensions:	7.48(w) x 10.31(h) x 1.77(d)

About the Author

William H. Press holds the Raymer Chair in Computer Sciences and Integrative Biology at the University of Texas at Austin.

Saul A. Teukolsky is H. A. Bethe Professor in Physics in the Radiophysics and Space Research Department of Cornell University.

William Vetterling is a Research Fellow and Director of the Image Science Laboratory at ZINK Imaging, LLC in Waltham, MA. His career includes eight years on the physics faculty at Harvard and 20 years of numerical modeling and laboratory research on digital imaging at Polaroid Corporation.

Brian P. Flannery is Science, Strategy and Programs Manager at Exxon Mobil Corporation.

Table of Contents

1. Preliminaries; 2. Solution of linear algebraic equations; 3. Interpolation and extrapolation; 4. Integration of functions; 5. Evaluation of functions; 6. Special functions; 7. Random numbers; 8. Sorting and selection; 9. Root finding and nonlinear sets of equations; 10. Minimization or maximization of functions; 11. Eigensystems; 12. Fast Fourier transform; 13. Fourier and spectral applications; 14. Statistical description of data; 15. Modeling of data; 16. Classification and inference; 17. Integration of ordinary differential equations; 18. Two point boundary value problems; 19. Integral equations and inverse theory; 20. Partial differential equations; 21. Computational geometry; 22. Less-numerical algorithms; References.

Editorial Reviews

"This monumental and classic work is beautifully produced and of literary as well as mathematical quality. It is an essential component of any serious scientific or engineering library."
Computing Reviews

"… an instant ‘classic,’ a book that should be purchased and read by anyone who uses numerical methods …"
American Journal of Physics

"… replete with the standard spectrum of mathematically pretreated and coded/numerical routines for linear equations, matrices and arrays, curves, splines, polynomials, functions, roots, series, integrals, eigenvectors, FFT and other transforms, distributions, statistics, and on to ODE's and PDE's … delightful."
Physics in Canada

"… if you were to have only a single book on numerical methods, this is the one I would recommend."
EEE Computational Science & Engineering

"This encyclopedic book should be read (or at least owned) not only by those who must roll their own numerical methods, but by all who must use prepackaged programs."
New Scientist

"These books are a must for anyone doing scientific computing."
Journal of the American Chemical Society

"The authors are to be congratulated for providing the scientific community with a valuable resource."
The Scientist

"I think this is an incredibly valuable book for both learning and reference and I recommend it for any scientists or student in a numerate discipline who need to understand and/or program numerical algorithms."
International Association for Pattern Recognition

"The attractive style of the text and the availability of the codes ensured the popularity of the previous editions and also recommended this recent volume to different categories of readers, more or less experienced in numerical computation."
Octavian Pastravanu, Zentralblatt MATH

From the Publisher