Computer oriented numerical methods / V. Rajaraman

Description:

This book is a concise and lucid introduction to computer oriented numerical methods with well-chosen graphical illustrations that give an insight into the mechanism of various methods. The book develops computational algorithms for solving non-linear algebraic equation, sets of linear equations, curve-fitting, integration, differentiation, and solving ordinary differential equations.

OUTSTANDING FEATURES

• Elementary presentation of numerical methods using computers for solving a variety of problems for students who have only basic level knowledge of mathematics.

• Geometrical illustrations used to explain how numerical algorithms are evolved.

• Emphasis on implementation of numerical algorithm on computers.

• Detailed discussion of IEEE standard for representing floating point numbers.

• Algorithms derived and presented using a simple English based structured language.

• Truncation and rounding errors in numerical calculations explained.

• Each chapter starts with learning goals and all methods illustrated with numerical examples.

• Appendix gives pointers to open-source libraries for numerical computation.

Preface to the Fourth Edition
1. Computational Algorithms
2. Computer Arithmetic
3. Solving Non-linear Equations
4. Solving Simultaneous Algebraic Equations
5. Interpolation
6. Least Squares Approximation of Functions
7. Approximation of Functions
8. Differentiation and Integration
9. Numerical Solution of Differential Equations
Appendix