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Full Description
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. In addition this revision includes new topics and methods throughout the text that clarify and enhance the treatment of the subject. 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
Contents
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
