Numerical Methods: A Programming-Based Approach

Contents: Preface and acknowledgements. 1. Approximation in numerical computations. 2. Calculus of finite differences. 3. Interpolation. 4. Numerical integration. 5. Numerical solutions of ordinary differential equations. 6. Numerical solutions of algebraic and transcendental equations. 7. Numerical solution of a system of linear equations. 8. curve fitting and spline interpolation. 9. Algorithms and programs in C language. 10. Introduction to software packages 34610.1. Appendix: fourier series and fourier transforms. Index. This textbook presents the frequently used numerical methods in a simple, well-structured and logical manner to enable students to easily grasp the pertinent concepts. All the concepts are accompanied by numerous solved problems of varying levels of difficulty to further strengthen and consolidate the students understanding. From a software perspective, algorithms as well as C programs are included to enable the student to optimise their usage of the techniques. The text is well supported with problems, illustrations, assignments, MCQs and long and short answer questions, thereby providing an exam-oriented approach.