Numerical Recipes 3rd Edition: The Art of Scientific Computing

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Cambridge University Press, Sep 6, 2007 - Computers - 1235 pages
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Co-authored by four leading scientists from academia and industry, Numerical Recipes Third Edition starts with basic mathematics and computer science and proceeds to complete, working routines. Widely recognized as the most comprehensive, accessible and practical basis for scientific computing, this new edition incorporates more than 400 Numerical Recipes routines, many of them new or upgraded. The executable C++ code, now printed in color for easy reading, adopts an object-oriented style particularly suited to scientific applications. The whole book is presented in the informal, easy-to-read style that made earlier editions so popular. Please visit www.nr.com or www.cambridge.org/us/numericalrecipes for more details. More information concerning licenses is available at: www.nr.com/licenses New key features:
  • 2 new chapters, 25 new sections, 25% longer than Second Edition
  • Thorough upgrades throughout the text
  • Over 100 completely new routines and upgrades of many more.
  • New Classification and Inference chapter, including Gaussian mixture models, HMMs, hierarchical clustering, Support Vector Machines
  • New Computational Geometry chapter covers KD trees, quad- and octrees, Delaunay triangulation, and algorithms for lines, polygons, triangles, and spheres
  • New sections include interior point methods for linear programming, Monte Carlo Markov Chains, spectral and pseudospectral methods for PDEs, and many new statistical distributions
  • An expanded treatment of ODEs with completely new routines
Plus comprehensive coverage of
  • linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations, and inverse theory
 

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Numerical Recipes: The Art of Scientific Computing
By William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery

Contents

Preliminaries
1
Solution of Linear
37
Interpolation and
110
4
155
Evaluation of Functions
201
Special Functions
255
Random Numbers
340
fxy
398
Fourier and Spectral
640
Figure 13106 Wavelet transform of a 256 256 matrix represented
716
14
720
Modeling of Data
773
Classification and chapter
840
Figure 1652 When feature vectors are mapped from a lowerdimensional
890
Integration of Ordinary chapter 1 7
899
1ft
955

Sorting and Selection
419
a b c d
432
Root Finding and
442
1
462
Minimization or CHAPTER
487
x2 f
534
Eigensystems
563
Fast Fourier Transform
600
Integral Equations and
986
Partial Differential CHAPTER
1024
Figure 20 Origin of mesh drift instabilities in a staggered
1041
Computational
1097
Figure 2132 Any point in the plane q can be
1113
Figure 2181 In a quadtree the initial square 1 is
1150
LessNumerical
1160
b
1167

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About the author (2007)

William H. Press holds the Raymer Chair in Computer Sciences and Integrative Biology at the University of Texas at Austin.

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