This book is a concise presentation of the basic concepts used in evolving numerical methods with special emphasis on developing computational algorithms for solving problems in algebra and calculus on a computer.
It is written for undergraduate science and engineering students who have taken a first course in differential and integral calculus. The approach is to ensure conceptual understanding of the numerical methods by relying on students geometric intuition.
The book provides coverage of iterative methods for solving algebraic and transcendental equations, direct and iterative methods of solving simultaneous algebraic equations, numerical methods for differen-tiation and integration, and solution of ordinary differential equations with initial conditions.
The formulation of algorithms is illustrated with a number of solved examples and an algorithmic language based on English (and similar to PASCAL) is used to express the logic of the numerical procedures. This approach is thus different from that used in most books which either use a programming language like FORTRAN or use flow charts to express algorithms.
The solutions to selected problems have been provided at the end of the book. About The Author V. RAJARAMAN,
PhD (Wisconsin), F.A.Sc., FNA, FNAE, FCSI, is Honorary Professor, Supercomputer Education and Research Centre, Indian Institute of Science, Bangalore. Earlier (1963- he taught at the Indian Institute of Technology, Kanpur. A pioneer in computer science education and research in India, Prof. Rajaraman was awarded the Shanti Swarup Bhatnagar Award, the Homi Bhabha Award for Research in Applied Sciences, the U.P. Government National Award for Excellence in Teaching and Research, Syed Hussain Zaheer Medal by the Indian National Science Academy and life time contribution award in engineering by the Indian National Academy of Engineering. A recipient of Padma Bhushan, he has published many research papers in reputed national and international journals besides authoring several established books. Table Of Contents
- Preface to the Third Edition.
- Compu-tational Algorithms.
- Computer Arithmetic.
- Iterative Methods.
- Solution of Simultaneous Algebraic Equations.
- Least Squares Approximation of Functions.
- Approximation of Functions.
- Differentiation and Integration.
- Numerical Solution of Differential Equations.
- Solutions to Selected Exercises.