Numerical Recipes in FORTRAN 77: Volume 1, Volume 1 of Fortran Numerical Recipes

This 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 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 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 "less-numerical" algorithms including compression coding and arbitrary precision arithmetic. The book retains the informal easy-to-read 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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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 (now Well Over 300 In All), Plus Upgraded Versions Of Many Of The Original Routines, This Book Is More Than Ever 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, With Many New Topics Presented At The Same Accessible Level. In Addition, Some Sections Of More Advanced Material Have Been Introduced, Set Off In Small Type From The Main Body Of The Text.^ Numerical Recipes Is An Ideal Textbook For Scientists And Engineers And An Indispensable Reference For Anyone Who Works In Scientific Computing. 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 Less-numerical 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 High-dimensional Spaces; Globally Convergent Methods For Sets Of Nonlinear Equations; An Expanded Chapter On Fast Fourier Methods; Spectral Analysis On Unevenly Sampled Data; Savitzky-golay Smoothing Filters; And Two-dimensional Kolmogorov-smirnoff Tests. All This Is In Addition To Material On Such Basic Topics As: Linear Equations, Interpolation And Extrapolation, Integration, Nonlinear Root-finding, Eigensystems, Ordinary Differential Equations, Evaluation Of Functions, Sorting, Optimization, Statistical Description And Modeling Of Data, And Two-point Boundary Value Problems.--book Jacket. Preliminaries; Solution Of Linear Algebraic Equations; Interpolation And Extrapolation; Integration Of Functions; Evaluation Of Functions; Special Functions; Random Numbers; Sorting; Root Finding And Nonlinear Sets Of Equations; Minimization Or Maximization Of Functions; Eigensystems; Fast Fourier Transform; Fourier And Spectral Applications; Statistical Description Of Data; Modeling Of Data; Integration Of Ordinary Differential Equations; Two Point Boundary Value Problems; Integral Equations And Inverse Theory; Partial Differential Equations; Less-numerical Algorithms; Index Of Programs And Dependencies. William H. Press ... [et Al.]. Includes Bibliographical References (p. 916-919) And Index. Numerical Recipes in Fortran 90 starts with a detailed introduction to the Fortran 90 language and then presents the basic concepts of parallel programming. All 350+ routines from the second edition of Numerical Recipes are presented in Fortran 90. Many are completely reworked algorithmically so as to be 'parallel-ready' and to utilise Fortran 90's advanced language features. Numerical Recipes in Fortran 90 emphasises general principles, but throughout there are also numerous hints and tips. This volume is intended for use with the original Numerical Recipes in Fortran, 2nd Edition (now called Numerical Recipes in Fortran 77) and does not discuss how the individual programs are used, or how the mathematical methods are used. An excellent guide for Fortran programmers interested in moving to Fortran 90, or C/C++ programmers interested in parallel programming. New text with detailed F 90 tutorial and introduction to parallel programming All routines from the second edition of Numerical Recipes are presented in Fortran 90, many reworked to be 'parallel-ready' ([source][1]) [1]: https://www.cambridge.org/nl/academic/subjects/mathematics/numerical-recipes/numerical-recipes-fortran-90-art-parallel-scientific-computing-volume-2-2nd-edition?format=HB&isbn=9780521574396 This book, like its predecessor edition, is supposed to teach you methods of numerical computing that are practical, efficient, and (insofar as possible) elegant. v. 1. Numerical recipes in FORTRAN 77 : the art of scientific computing v. 2. Numerical recipes in FORTRAN 90 : the art of parallel scientific computing.