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The references collected here are those of general usefulness, usually cited inmore than one section of this book. More specialized sources, usually cited in asingle section, are not repeated here.We first list a small number of books that form the nucleus of a recommendedpersonal reference collection on numerical methods, numerical analysis, and closelyrelated subjects. These are the books that we like to have within easy reach.Abramowitz, M., and Stegun, I.A.
1964, Handbook of MathematicalFunctions, Applied Mathematics Series, Volume 55 (Washington:National Bureau of Standards; reprinted 1968 by Dover Publications,New York)Acton, F.S. 1970, Numerical Methods That Work; 1990, corrected edition(Washington: Mathematical Association of America)Ames, W.F. 1977, Numerical Methods for Partial Differential Equations,2nd ed. (New York: Academic Press)Bratley, P., Fox, B.L., and Schrage, E.L. 1983, A Guide to Simulation (NewYork: Springer-Verlag)Dahlquist, G., and Bjorck, A. 1974, Numerical Methods (EnglewoodCliffs, NJ: Prentice-Hall)Delves, L.M., and Mohamed, J.L.
1985, Computational Methods for Integral Equations (Cambridge, U.K.: Cambridge University Press)Dennis, J.E., and Schnabel, R.B. 1983, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Englewood Cliffs,NJ: Prentice-Hall)Gill, P.E., Murray, W., and Wright, M.H. 1991, Numerical Linear Algebraand Optimization, vol. 1 (Redwood City, CA: Addison-Wesley)Golub, G.H., and Van Loan, C.F.
1989, Matrix Computations, 2nd ed.(Baltimore: Johns Hopkins University Press)Oppenheim, A.V., and Schafer, R.W. 1989, Discrete-Time Signal Processing (Englewood Cliffs, NJ: Prentice-Hall)Ralston, A., and Rabinowitz, P. 1978, A First Course in Numerical Analysis,2nd ed.
(New York: McGraw-Hill)Sedgewick, R. 1988, Algorithms, 2nd ed. (Reading, MA: Addison-Wesley)Stoer, J., and Bulirsch, R. 1980, Introduction to Numerical Analysis (NewYork: Springer-Verlag)Wilkinson, J.H., and Reinsch, C. 1971, Linear Algebra, vol.
II of Handbookfor Automatic Computation (New York: Springer-Verlag)926Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software.Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited.
To order Numerical Recipes books,diskettes, or CDROMsvisit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).ReferencesReferences927We next list the larger collection of books, which, in our view, should be includedin any serious research library on computing, numerical methods, or analysis.Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software.Permission is granted for internet users to make one paper copy for their own personal use.
Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMsvisit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).Bevington, P.R. 1969, Data Reduction and Error Analysis for the Physical Sciences(New York: McGraw-Hill)Bloomfield, P. 1976, Fourier Analysis of Time Series – An Introduction (New York:Wiley)Bowers, R.L., and Wilson, J.R. 1991, Numerical Modeling in Applied Physics andAstrophysics (Boston: Jones & Bartlett)Brent, R.P. 1973, Algorithms for Minimization without Derivatives (EnglewoodCliffs, NJ: Prentice-Hall)Brigham, E.O. 1974, The Fast Fourier Transform (Englewood Cliffs, NJ: PrenticeHall)Brownlee, K.A. 1965, Statistical Theory and Methodology, 2nd ed.
(New York:Wiley)Bunch, J.R., and Rose, D.J. (eds.) 1976, Sparse Matrix Computations (New York:Academic Press)Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A. 1988, Spectral Methodsin Fluid Dynamics (New York: Springer-Verlag)Carnahan, B., Luther, H.A., and Wilkes, J.O. 1969, Applied Numerical Methods(New York: Wiley)Champeney, D.C.
1973, Fourier Transforms and Their Physical Applications (NewYork: Academic Press)Childers, D.G. (ed.) 1978, Modern Spectrum Analysis (New York: IEEE Press)Cooper, L., and Steinberg, D. 1970, Introduction to Methods of Optimization(Philadelphia: Saunders)Dantzig, G.B. 1963, Linear Programming and Extensions (Princeton, NJ: PrincetonUniversity Press)Devroye, L.
1986, Non-Uniform Random Variate Generation (New York: SpringerVerlag)Dongarra, J.J., et al. 1979, LINPACK User’s Guide (Philadelphia: S.I.A.M.)Downie, N.M., and Heath, R.W. 1965, Basic Statistical Methods, 2nd ed. (NewYork: Harper & Row)Duff, I.S., and Stewart, G.W. (eds.) 1979, Sparse Matrix Proceedings 1978(Philadelphia: S.I.A.M.)Elliott, D.F., and Rao, K.R.
1982, Fast Transforms: Algorithms, Analyses, Applications (New York: Academic Press)Fike, C.T. 1968, Computer Evaluation of Mathematical Functions (EnglewoodCliffs, NJ: Prentice-Hall)Forsythe, G.E., Malcolm, M.A., and Moler, C.B. 1977, Computer Methods forMathematical Computations (Englewood Cliffs, NJ: Prentice-Hall)Forsythe, G.E., and Moler, C.B. 1967, Computer Solution of Linear AlgebraicSystems (Englewood Cliffs, NJ: Prentice-Hall)Gass, S.T. 1969, Linear Programming, 3rd ed. (New York: McGraw-Hill)Gear, C.W.
1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall)Goodwin, E.T. (ed.) 1961, Modern Computing Methods, 2nd ed. (New York:Philosophical Library)Gottlieb, D. and Orszag, S.A. 1977, Numerical Analysis of Spectral Methods:Theory and Applications (Philadelphia: S.I.A.M.)Hackbusch, W. 1985, Multi-Grid Methods and Applications (New York: SpringerVerlag)928ReferencesSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software.Permission is granted for internet users to make one paper copy for their own personal use.
Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMsvisit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).Hamming, R.W.
1962, Numerical Methods for Engineers and Scientists; reprinted1986 (New York: Dover)Hart, J.F., et al. 1968, Computer Approximations (New York: Wiley)Hastings, C. 1955, Approximations for Digital Computers (Princeton: PrincetonUniversity Press)Hildebrand, F.B. 1974, Introduction to Numerical Analysis, 2nd ed.; reprinted 1987(New York: Dover)Hoel, P.G. 1971, Introduction to Mathematical Statistics, 4th ed. (New York: Wiley)Horn, R.A., and Johnson, C.R. 1985, Matrix Analysis (Cambridge: CambridgeUniversity Press)Householder, A.S.
1970, The Numerical Treatment of a Single Nonlinear Equation(New York: McGraw-Hill)Huber, P.J. 1981, Robust Statistics (New York: Wiley)Isaacson, E., and Keller, H.B. 1966, Analysis of Numerical Methods (New York:Wiley)Jacobs, D.A.H. (ed.) 1977, The State of the Art in Numerical Analysis (London:Academic Press)Johnson, L.W., and Riess, R.D. 1982, Numerical Analysis, 2nd ed. (Reading, MA:Addison-Wesley)Kahaner, D., Moler, C., and Nash, S. 1989, Numerical Methods and Software(Englewood Cliffs, NJ: Prentice Hall)Keller, H.B. 1968, Numerical Methods for Two-Point Boundary-Value Problems(Waltham, MA: Blaisdell)Knuth, D.E.
1968, Fundamental Algorithms, vol. 1 of The Art of ComputerProgramming (Reading, MA: Addison-Wesley)Knuth, D.E. 1981, Seminumerical Algorithms, 2nd ed., vol. 2 of The Art ofComputer Programming (Reading, MA: Addison-Wesley)Knuth, D.E. 1973, Sorting and Searching, vol. 3 of The Art of Computer Programming (Reading, MA: Addison-Wesley)Koonin, S.E., and Meredith, D.C. 1990, Computational Physics, Fortran Version(Redwood City, CA: Addison-Wesley)Kuenzi, H.P., Tzschach, H.G., and Zehnder, C.A. 1971, Numerical Methods ofMathematical Optimization (New York: Academic Press)Lanczos, C.
1956, Applied Analysis; reprinted 1988 (New York: Dover)Land, A.H., and Powell, S. 1973, Fortran Codes for Mathematical Programming(London: Wiley-Interscience)Lawson, C.L., and Hanson, R. 1974, Solving Least Squares Problems (EnglewoodCliffs, NJ: Prentice-Hall)Lehmann, E.L. 1975, Nonparametrics: Statistical Methods Based on Ranks (SanFrancisco: Holden-Day)Luke, Y.L. 1975, Mathematical Functions and Their Approximations (New York:Academic Press)Magnus, W., and Oberhettinger, F. 1949, Formulas and Theorems for the Functionsof Mathematical Physics (New York: Chelsea)Martin, B.R.
1971, Statistics for Physicists (New York: Academic Press)Mathews, J., and Walker, R.L. 1970, Mathematical Methods of Physics, 2nd ed.(Reading, MA: W.A. Benjamin/Addison-Wesley)von Mises, R. 1964, Mathematical Theory of Probability and Statistics (New York:Academic Press)Murty, K.G. 1976, Linear and Combinatorial Programming (New York: Wiley)Norusis, M.J. 1982, SPSS Introductory Guide: Basic Statistics and Operations; and1985, SPSS-X Advanced Statistics Guide (New York: McGraw-Hill)ReferencesSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software.Permission is granted for internet users to make one paper copy for their own personal use.
Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMsvisit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).Nussbaumer, H.J. 1982, Fast Fourier Transform and Convolution Algorithms(New York: Springer-Verlag)Ortega, J., and Rheinboldt, W.
1970, Iterative Solution of Nonlinear Equations inSeveral Variables (New York: Academic Press)Ostrowski, A.M. 1966, Solutions of Equations and Systems of Equations, 2nd ed.(New York: Academic Press)Polak, E. 1971, Computational Methods in Optimization (New York: AcademicPress)Rice, J.R. 1983, Numerical Methods, Software, and Analysis (New York: McGrawHill)Richtmyer, R.D., and Morton, K.W.
1967, Difference Methods for Initial ValueProblems, 2nd ed. (New York: Wiley-Interscience)Roache, P.J. 1976, Computational Fluid Dynamics (Albuquerque: Hermosa)Robinson, E.A., and Treitel, S. 1980, Geophysical Signal Analysis (EnglewoodCliffs, NJ: Prentice-Hall)Smith, B.T., et al. 1976, Matrix Eigensystem Routines — EISPACK Guide, 2nd ed.,vol. 6 of Lecture Notes in Computer Science (New York: Springer-Verlag)Stuart, A., and Ord, J.K. 1987, Kendall’s Advanced Theory of Statistics, 5th ed.(London: Griffin and Co.) [previous eds. published as Kendall, M., and Stuart,A., The Advanced Theory of Statistics]Tewarson, R.P. 1973, Sparse Matrices (New York: Academic Press)Westlake, J.R. 1968, A Handbook of Numerical Matrix Inversion and Solution ofLinear Equations (New York: Wiley)Wilkinson, J.H. 1965, The Algebraic Eigenvalue Problem (New York: OxfordUniversity Press)Young, D.M., and Gregory, R.T.
1973, A Survey of Numerical Mathematics, 2 vols.;reprinted 1988 (New York: Dover)929Table of PrototypeDeclarationsWe here list ANSI prototype declarations for all the routines in NumericalRecipes in C. If, as is preferred, you are using a compiler that implements the ANSIstandard, then you should #include this listing (or the relevant lines thereof) ineach separately compiled source file that contains or references any routine from thisbook.
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