Numerical Analysis 2E (Sie)

The text is designed keeping in mind the course taken up by PG students. It presents Fundamental Theory Numerical Derivation of relevant Equations, which is followed by numerous Solved Examples Supplementary Problems for Practice. Key Features: Exhaustive Table of Contents spanning over 30 Chapters Classical Historical Introductory topics included: Classical Numerical Analysis Features in all standard syllabi More than 90 Coverage to all major topics: Laplace transformation, Calculus, Errors, Algebra, Polynomial interpolation, Iterative methods, Numerical differentiation, Numerical integration Comprises 45 of any standard syllabi Inclusion of important topics : Fast Fourier transforms, Finite elements, Differential equations Features in standard text as well Pedagogy : Illustrations : 156 (Figures: 83 Tables: 73) Solved problems: 804 683 Supplementary problems Table of Content: Chapter 1. What is Numerical Analysis? Chapter 2. The Collocation Polynomial Chapter 3. Finite Differences Chapter 4. Factorial Polynomials Chapter 5. Summation Chapter 6. The Newton Formula Chapter 7. Operators and Collocation Polynomials Chapter 8. Unequally Spaced Arguments Chapter 9. Splines Chapter 10. Osculating Polynomials Chapter 11. The Taylor Polynomial Chapter 12. Interpolation Chapter 13. Numerical Differentiation Chapter 14. Numerical Integration Chapter 15. Gaussian Integration Chapter 16. Singular Integrals