Numerical Analysis 2e (special Indian Edition)

1. What is Numerical Analysis?

2. The Collocation Polynomial

3. Finite Differences

4. Factorial Polynomials

5. Summation

6. The Newton Formula

7. Operators and Collocation Polynomials

8. Unequally Spaced Arguments

9. Splines

10. Osculating Polynomials

11. The Taylor Polynomial

12. Interpolation

13. Numerical Differentiation

14. Numerical Integration

15. Gaussian Integration

16. Singular Integrals

17. Sums and Series

18. Difference Equations

19. Differential Equations

20. Differential Problems of Higher Order

21. Least-Squares Polynomial Approximation

22. Min-Max Polynomial Approximation

23. Approximation by Rational Functions

24. Trigonometric Approximation

25. Nonlinear Algebra

26. Linear Systems

27. Linear Programming

28. Overdetermined Systems

29. Boundary Value Problems

30. Monte Carlo Methods

Answers to Supplementary Problems

New 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