Numerical Recipes: The Art of Scientific Computing

ISBN-13: 9780521880688 / Angielski / Twarda / 2007 / 1256 str.

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

Opis

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

Recenzje

'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

Spis treści

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.

O autorze

Press, William H. William H. Press holds the Raymer Chair in Computer Sciences and Integrative Biology at the University of Texas at Austin. Teukolsky, Saul A. Saul A. Teukolsky is H. A. Bethe Professor in Physics in the Radiophysics and Space Research Department of Cornell University. Vetterling, William T. 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. Flannery, Brian P. Brian P. Flannery is Science, Strategy and Programs Manager at Exxon Mobil Corporation.