Numerical Analysis A Programming Approach

This book is Designed to serve as a text book for the undergraduate as well as post graduate students of Mathematics, Engineering, Computer Science.

Coverage:

• Concept of numbers and their accuracy, binary and decimal number system, limitations of floating-point representation.
• Concept of error and their types, propagation of errors through process graph.
• Iterative methods for finding the roots of algebraic and transcendental equations with their convergence, methods to solve the set of non-linear equations, methods to obtain complex roots.
• Concept of matrices, the direct and iterative methods to solve a system of linear algebraic equations.
• Finite differences, interpolation and extrapolation methods, cubic spline, the concept of curve fitting.
• Differentiation and integration methods.
• The solution of ordinary and partial differential equations

• Chapters include objectives, learning outcomes, multiple-choice questions, exercises for practice and solutions.
• Programs are written in C Language for Numerical methods.
• Topics are explained with suitable examples.
• Arrangement (Logical order), clarity, detailed presentation and explanation of each topic with numerous solved and unsolved examples.
• Concise but lucid and student-friendly presentation for the derivation of formulas used in various numerical methods. 

1. Numerical Integration
2. Difference Equations
3. Numerical Solution of Ordinary Differential Equations
4. Numerical Solution of Partial Differential Equations
5. Appendix – I Case Studies / Applications
6. Appendix - II Synthetic Division
7. Bibliography
8. Index

Vinay Vachharajani