Numerical Recipes in FORTRAN 77: Volume 1, Volume 1 of Fortran Numerical Recipes: The Art of Scientific ComputingThis is the greatly revised and greatly 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 selfcontained 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, this 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 "lessnumerical" algorithms including compression coding and arbitrary precision arithmetic. The book retains the informal easytoread style that made the first edition so popular, 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 availabe in FORTRAN, the traditional language for numerical calculations and in the increasingly popular C language. 
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LibraryThing Review
User Review  Lyndatrue  LibraryThingThis book save my life so many times during my professional life that I long ago lost count. This is the original book, and all the examples are in FORTRAN, with the PASCAL translations as an appendix ... Read full review
LibraryThing Review
User Review  JJMAlmeida  LibraryThingBook Description ISBN10: 052143064X  ISBN13: 9780521430647  Publication Date: September 25, 1992  Edition: 2 This is the greatly revised and greatly expanded Second Edition of the hugely popular ... Read full review
Contents
Preliminaries  1 
Solution of Linear Algebraic Equations  22 
3LU Decomposition and Its Applications  34 
Interpolation and Extrapolation  99 
Integration of Functions  123 
Evaluation of Functions  159 
Special Functions  205 
Random Numbers  266 
Statistical Description of Data  603 
Modeling of Data  650 
Integration of Ordinary Differential Equations  701 
Two Point Boundary Value Problems  745 
Integral Equations and Inverse Theory  779 
Partial Differential Equations  818 
LessNumerical Algorithms  881 
C1 Listing of Utility Modules nrtype and nrutil 1361  920 
Sorting  320 
Root Finding and Nonlinear Sets of Equations  340 
Minimization or Maximization of Functions  387 
Eigensystems  449 
Fast Fourier Transform  490 
Fourier and Spectral Applications  530 
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Common terms and phrases
accuracy algorithm approximation array Bessel functions boundary conditions calculation Chapter CITED REFERENCES coefficients column complex components compute continued fraction convergence convolution data points data set decomposition defined derivative deviation diagonal dimensions discrete Fourier transform distribution DOUBLE PRECISION eigenvalues eigenvectors elements enddo 11 endif enddo endolo estimate evaluated example extrapolation factor Figure filter formula FORTRAN Fourier transform fraction frequency func function value FURTHER READING Gaussian quadrature given goto grid idum implementation initial input INTEGER interpolation interval inverse iteration linear loop LU decomposition Mathematical matrix maximum MAXIT method minimization multiply Newton's method NMAX nonlinear nonzero normal Numerical Analysis optimal output parameters polynomial problem quadrature random rational function REAL recurrence REFERENCES AND FURTHER return END righthand side root roundoff error routine sampling sequence signal singular solution solve step stepsize SUBROUTINE tridiagonal variables vector wavelet York zero