Numerical recipes in C : the art of scientific computing

This is the 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 many of the original routines, this new edition is the most practical, comprehensive handbook of scientific computing available today. The book retains the informal, easy-to-read style that made the first edition so popular, even while introducing some more advanced topics. It is an ideal textbook for scientists and engineers, and an indispensable reference for anyone who works in scientific computing. The second edition is available in FORTRAN, the quintessential language for numerical calculations, and in the increasingly popular C language. Not simply a line-by-line translation of the FORTRAN routines, 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.

• Legal matters
• List of computer programs
• 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
• 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. Integration of ordinary differential equations
• 17. Two point boundary value problems
• 18. Integral equations and inverse theory
• 19. Partial differential equations
• 20. Less-numerical algorithms
• References
• Index of programs and dependencies
• General index.