Numerical Recipes in Pascal (First Edition): The Art of Scientific Computing

by William H. Press , Brian P. Flannery , Saul A. Teukolsky , William T. Vetterling

• ISBN13: 9780521375160
• ISBN10: 0521375169
• Edition: Revised
• Format: Hardcover
• Copyright: 1989-10-27
• Publisher: Cambridge University Press

Summary

Numerical Recipes: The Art of Scientific Computing was first published in 1986 and became an instant classic among scientists, engineers, and social scientists. In this book the original, time-tested programs have been completely reworked into a clear, consistent Pascal style. This represents a significant improvement to the immensely successful programs contained in the first edition, which were originally written in Fortran. The authors make extensive use of pointers, dynamic memory allocation, and other features utilized by this language. The explanatory text accompanying the programs replicates the lucid, and easy-to-read prose found in the original version, and incorporates corrections, improvements, and explanations of special Pascal features. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes in Pascal fills a long-recognized need for a practical, comprehensive handbook of scientific computing in the Pascal language. The book is designed both for the Pascal programmer who wants exposure to the techniques of scientific computing, and for the working scientist, social scientist, and engineer. The scope of the book ranges from standard areas of numerical analysis (linear algebra, differential equations, roots) through subjects useful to signal processing (Fourier methods, filtering), data analysis (least squares, robust fitting, statistical functions), simulation (random deviates and Monte Carlo), and more. The lively, informal text combined with an underlying degree of mathematical sophistication makes the book useful to a wide range of readers, beginning at the advanced undergraduate level.

Table of Contents

1. Preliminaries

2. Solution of linear algebraic equations

3. Interpolation and extrapolation

4. Integration of functions

5. Evaluation of functions

6. Special functions

7. Random numbers

8. Sorting

9. Root finding and nonlinear sets of equations

10. Minimization or maximization of functions

11. Eigensystems

12. Fourier transform spectral methods

13. Statistical description of data

14. Modeling of data

15. Integration of ordinary differential equations

16. Two point boundary value problems

17. Partial differential equations

Appendices

Table of program dependencies.