Designed for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text communicates an enthusiasm for the power of C++, an object-oriented language, as a tool for this kind of work. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. From reviews of the first edition: 'If you are interested in numerical methods or are looking for a course text this book is worth your attention.' Journal of the Association of C and C++ Users
1. Preliminaries; 2. Expressions, statements and functions; 3. Errors, theorems and speed; 4. Roots of non-linear equations; 5. Classes; 6. Derived classes and streams; 7. Integer arithmetic; 8. Tests of randomness; 9. Vectors and matrices; 10. Direct solution of linear equations; 11. Errors in matrix manipulation; 12. Iterative solutions of systems of equations; 13. Matrix eigenvalue problems; 14. Interpolation and data fitting; 15. Graphics; 16. Differentiation and integration; 17. Orthogonal polynomials; 18. Differential equations; 19. More about differential equations; 20. Recursive data types - lists; 21. Elements of Fourier analysis
Brian H. Flowers
