Numerical recipes in C : the art of scientific computing (Record no. 43535)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 07137nam a2200169Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160408s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 052135465X |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 005.133 |
| Item number | PRE |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Press, William H. |
| 245 ## - TITLE STATEMENT | |
| Title | Numerical recipes in C : the art of scientific computing |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Cambridge |
| Name of publisher, distributor, etc | Cambridge Uni. Press |
| Date of publication, distribution, etc | 1988 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 735p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | CONTENS<br/>Preface to the C Edition XI<br/>Preface XIll<br/>List of Computer Programs xvii<br/>1 PRELIMINARIES<br/>0 Introduction 1<br/>1 Program Organization and Control Structures 4<br/>2 Some C Conventions for Scientific Computing 14<br/>3 Error, Accuracy, and Stability 24<br/>2 SOLUTION OF LINEAR ALGEBRAIC EQUATIONS 28<br/>0 Introduction 28<br/>1 Gauss-Jordan Elimination 32<br/>2 Gaussian Elimination with Backsubstitution 37<br/>3 LU Decomposition 39<br/>4 Inverse of a Matrix 45<br/>5 Determinant of a Matrix 46<br/>6 Tridiagonal Systems of Equations 47<br/>7 Iterative Improvement of a Solution to Linear Equations 49<br/>8 Vanderrnonde Matrices and Toeplitz Matrices 51<br/>9 Singula)- Value Decomposition 60<br/>10 Sparse Linear Systems 72<br/>11 Is Matrix Inversion an TV3 Process? 81<br/>3 INTERPOLATION AND EXTRAPOLATION 85<br/>0 Introduction 85<br/>1 Polynomial Interpolation and Extrapolation 88<br/>2 Rational Function Interpolation and Extrapolation 91<br/>3 Cubic Spline Interpolation 94<br/>4 How to Search an Ordered Table 98<br/>5 Coefficients of the Interpolating Polynomial 101<br/>6 Interpolation in Two or More Dimensions 104<br/>INTEGRATION OF FUNCTIONS 1ll<br/>0 Introduction 111<br/>1 Classical Formulas for Equally-Spaced Abscissas 112<br/>2 Elementary Algorithms 119<br/>3 Romberg Integration 123<br/>4 Improper Integrals 125<br/>5 Gaussian Quadratures 131<br/>6 Multidimensional Integrals 137<br/>5 EVALUATION OF FUNCTIONS 142<br/>0 Introduction 142<br/>1 Series and Their Convergence 143<br/>2 Evaluation of Continued Fractions 146<br/>3 Polynomials and Rational Functions 148<br/>4 Recurrence Relations and Clenshaw's Recurrence Formula 15<br/>5 Quadratic and Cubic Equations 156<br/>6 Chebyshev Approximation 158<br/>7 Derivatives or Integrals of a Chebyshev-approximated Function (<br/>8 Polynomial Approximation from Chebyshev Coefficients 164<br/>6 SPECIAL FUNCTIONS 166<br/>0 Introduction 166<br/>1 Gamma Function, Beta Function, Factorials, and Binomial 1 Coefficients 167<br/>2 Incomplete Gamma Function, Error Function, Chi-Square Probability Function, Cumulative Poisson Distribution 171<br/>3 Incomplete Beta Function, Student's Distribution, ! F-Distribution, Cumulative Binomial Distribution 178<br/>4 Bessel Functions of Integer Order 182 I<br/>5 Modified Bessel Functions of Integer Order 189<br/>6 Spherical Harmonics 194<br/>7 Elliptic Integrals and Jacobian Elliptic Functions 197<br/>7 RANDOM NUMBERS 204<br/>0 Introduction 204<br/>1 Uniform Deviates 205<br/>2 Transformation Method: Exponential and Normal Deviates 214<br/>3 Rejection Method: Gamma, Poisson, Binomial Deviates 218<br/>4 Generation of Random Bits 224<br/>5 The Data Encryption Standard 228<br/>6 Monte Carlo Integration 237<br/>8 SORTING 242<br/>0 Introduction 242<br/>1 Straight Insertion and Shell's Method 243<br/>2 Heapsort 245<br/>3 Indexing and Ranking 248<br/>4 Quicksort 251<br/>5 Determination of Equivalence Classes 252<br/>9 ROOT FINDING AND NONLINEAR SETS OF<br/>EQUATIONS 255<br/>0 Introduction 255<br/>1 Bracketing and Bisection 258<br/>2 Secant Method and False Position Method 263<br/>3 Van Wijngaarden- Dekker-Brent Method 267<br/>4 Newton-Raphson Method Using Derivative 269<br/>5 Roots of Polynomials 275<br/>6 Newton-Raphson Method for Nonlinear Systems of Equations 286<br/>10 MINIMIZATION OR MAXIMIZATION OF<br/>FUNCTIONS 290<br/>0 Introduction 290<br/>1 Golden Section Search in One Dimension 293<br/>2 Parabolic Interpolation and Brent's Method in One Dimension 299<br/>3 One-Dimensional Search with First Derivatives 302<br/>4 Downhill Simplex Method in Multidimensions 305<br/>5 Direction Set (Powell's) Methods in Multidimensions 309<br/>6 Conjugate Gradient Methods in Multidimensions 317<br/>7 Variable Metric Methods in Multidimensions 324<br/>8 Linear Programming and the Simplex Method 329<br/>9 Combinatorial Minimization: Method of Simulated Annealing 343<br/>11 EIGENSYSTEMS 353<br/>0 Introduction 353<br/>1 Jacobi Transformations of a Symmetric Matrix 360<br/>2 Reduction of a Symmetric Matrix to Tridiagonal Form: Givens and Householder Reductions 367<br/>3 Eigenvalues and Eigenvectors of a Tridiagonal Matrix 374<br/>4 Hermitian Matrices 381<br/>5 Reduction of a General Matrix to Hessenberg Form 382<br/>6 The QR Algorithm for Real Hessenberg Matrices 387<br/>7 Improving Eigenvalues and/or Finding Eigenvectors by Inverse Iteration 394<br/>12 FOURIER TRANSFORM SPECTRAL METHODS 398<br/>0 Introduction 398<br/>1 Fourier Transform of Discretely Sampled Data 403<br/>2 Fast Fourier Transform (FFT) 407<br/>3 FFT of Real Functions, Sine and Cosine Transforms 414<br/>4 Convolution and Deconvolution Using the FFT 425<br/>5 Correlation and Autocorrelation Using the FFT 432<br/>6 Optimal (Wiener) Filtering with the FFT 434<br/>7 Power Spectrum Estimation Using the FFT 437<br/>8 Power Spectrum Estimation by the Maximum Entropy (All Poles) Method 447<br/>9 Digital Filtering in the Time Domain 452<br/>10 Linear Prediction and Linear Predictive Coding 461<br/>FFT in Two or More Dimensions 467<br/>13 STATISTICAL DESCRIPTION OF DATA 471<br/>10 Introduction 471<br/>11 of a Distribution: Mean, Variance, Skewness, and so forth 472<br/>12 Efficient Search for the Median 476<br/>13 Estimation of the Mode for Continuous Data 479<br/>14 Do Two Distributions Have the Same Means or Variances?<br/>15 Are Two Distributions Different? 487<br/>16 Contingency Table Analysis of Two Distributions 494<br/>17 Linear Correlation 503<br/>18 Nonparametric or Rank Correlation 507<br/>19 Smoothing of Data 514<br/>14 MODELING OF DATA 517<br/>0 Introduction 517<br/>1 Least Squares as a Maximum Likelihood Estimator 518<br/>2 Fitting Data to a Straight Line 523<br/>3 General Linear Least Squares 528<br/>4 Nonlinear Models 540<br/>5 Confidence Limits on Estimated Model Parameters 548<br/>6 Robust Estimation 558<br/>15 INTEGRATION OF ORDINARY DIFFERENTIAL<br/>EQUATIONS 566<br/>0 Introduction 566<br/>1 Runge-Kutta Method 569<br/>2 Adaptive Stepsize Control for Runge-Kutta 574<br/>3 Modified Midpoint Method 580<br/>4 Richardson Extrapolation and the Bulirsch-Stoer Method<br/>5 Predictor-Corrector Methods 589<br/>6 Stiff Sets of Equations 592<br/>16 TWO POINT BOUNDARY VALUE PROBLEMS 598<br/>0 Introduction 598<br/>1 The Shooting Method 602<br/>2 Shooting to a Fitting Point 606<br/>3 Relaxation Methods 609<br/>4 A Worked Example: Spheroidal Harmonics 621<br/>5 Automated Allocation of Mesh Points 630<br/>6 Handling Internal Boundary Conditions or Singular Points<br/>17 PARTIAL DIFFERENTIAL EQUATIONS 636<br/>0 Introduction 636<br/>1 Flux-Conservative Initial Value Problems 644<br/>2 Diffusive Initial Value Problems 656<br/>Initial Value Problems in Multidimenviii 663<br/>4 Fourier and Cyclic Reduction Methods for Boundary Value Problems 667<br/>5 Relaxation Methods for Boundary Value Problems 673<br/>6 Operator Splitting; Methods and ADI 681<br/>APPENDIX A: References 689<br/>APPENDIX B: Table of Program Dependencies 694<br/>APPENDIX C: Table of Prototype Declarations 699<br/>APPENDIX D: Utility Routines (nrutil.c) 705<br/>APPENDIX E: Complex Arithmetic (complex.c) 710<br/>Index 713<br/> |
| 600 ## - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| 9 (RLIN) | 46762 |
| 890 ## - Country | |
| Country | England |
| 891 ## - Topic | |
| Topic | Gratis from Dr. Bharat Dave |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Withdrawn status | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
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| Dewey Decimal Classification | CEPT Library | CEPT Library | 11/04/2016 | Dr. Bharat Dave | 0.00 | 005.133 PRE | 015508 | 12/04/2016 | 0.00 | 11/04/2016 | Book |