Numerical Recipes in FORTRAN Example Book: The Art of Scientific Computing, Volumes 12"Highlights of the new material include a new chapter on integral equations and inverse methods; multigrid 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; band diagonal linear systems; linear algebra on sparse matrices; Cholesky and QR decomposition; calculation of numerical derivatives; Pade approximants, and rational Chebyshev approximation; new special functions; Monte Carlo integration in highdimensional spaces; globally convergent methods for sets of nonlinear equations; an expanded chapter on fast Fourier methods; spectral analysis on unevenly sampled data; SavitzkyGolay smoothing filters; and twodimensional KolmogorovSmirnoff tests." "All this is in addition to material on such basic topics as: linear equations, interpolation and extrapolation, integration, nonlinear rootfinding, eigensystems, ordinary differential equations, evaluation of functions, sorting, optimization, statistical description and modeling of data, and twopoint boundary value problems."BOOK JACKET. 
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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
Review: Numerical Recipes in FORTRAN: The Art of Scientific Computing (2nd Edition)
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Contents
Preliminaries  1 
Linear Algebraic Equations  5 
Interpolation and Extrapolation  31 
Integration of Functions  42 
Evaluation of Functions  56 
Special Functions  67 
Random Numbers  98 
Sorting  112 
Fast Fourier Transform  156 
Fourier and Spectral Applications  167 
Statistical Description of Data  177 
Modeling of Data  197 
Ordinary Differential Equations  210 
Integral Equations and Inverse Theory  224 
Partial Differential Equations  228 
LessNumerical Algorithms  233 
Root Finding and Sets of Equations  122 
Minimization and Maximization of Functions  133 
Eigensystems  147 
Common terms and phrases
11 continue 12 11 continue call 11 continue close(7 11 continue END 13 continue write Bessel Function calculates CHARACTER Chebyshev coefficients compared continue 12 continue continue do 12 continue END SUBROUTINE continue goto data sets data1 decomposition demonstration program deviation Diskette IBM distribution DOUBLE PRECISION driver for routine eigenvalues eigenvectors Elliptic Integral END REAL FUNCTION END Routine endif 11 continue equations error evaluation Example Book EXTERNAL func FORTRAN function values Gaussian goto 10 read(7 grid idum Incomplete gamma function input INTEGER i,j REAL INTEGER i,nval REAL INTEGER NP interpolation interval iterations Julian day linear method mglin NTERM Numerical Recipes nval write open(7,file='FNCVAL.DAT',status='OLD original array original matrix output PARAMETER polynomial Press RETURN problem QR decomposition random number REAL FUNCTION func(x REAL PI return END Righthand side vector roots Sample program Solution vector sorted array sparse matrix STOP END subroutine tridiagonal tridiagonal matrix zero