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.
The essential text and reference for modern scientific computing now also covers computational geometry, classification and inference, and much more.
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.
'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