About the Book:
Numerical Methods is the go-to textbook for B.Sc and B.Tech students in search of a comprehensive guide to numerical analysis. This self-contained classroom text offers an in-depth exploration of key topics such as errors, difference operators, and interpolation with both equal and unequal intervals. With detailed explanations of methods for solving linear algebraic and transcendental equations, numerical integration, differentiation, and ordinary differential equations.
Additional topics covered in this text include central difference interpolation formulas, inverse interpolation, and the Guass-Jacobi and Gauss Seidel methods. Whether you are a student or a professional in the field of numerical analysis, Numerical Methods provides the solid foundation you need to succeed.
This book is an essential resource for students seeking to master the principles and techniques of numerical analysis.
Contents:
1. Errors in Numerical Calculations
2. Solving Algebraic and Transcendental Equations
3. Differential Operators
4. Interpolation with Equal Intervals
5. Matrices, Characteristic Equation, Eigen Values and Eigen Vector
6. Central difference Interpolation Formulae
7. Numerical Differentiation
8. Numerical Integration
9. Solution of Ordinary Differential Equations
10. Inverse Interpolation
11. Curve Fitting
12. Solving of a System of Linear Equations and Matrices