# COMPUTER ORIENTED NUMERICAL METHODS

PHI Learning Pvt. Ltd., Jan 1, 1993 - Computers - 208 pages
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.

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sir will i get 1st chapter exercies problems solved

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neetesh

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### Contents

 Computer Arithmetic 15 Iterative Methods 35 Solution of Simultaneous Algebraic Filiations 77 Interpolation 95 Least Squares Approximation of Functions 117 Approximation of Functions 133
 Differentiation and Integration 142 Numerical Solution of Differential Equations 164 Solutions to Selected Exercises 187 Index 195 Copyright

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Page 2 - Unlike a schoolboy a computer (as of today) does not have the capability of reading and understanding instructions written in a natural language like English. Thus it is necessary to express the algorithm in a language understood by the computer. An algorithm coded in a computer language is called a program and the language used for coding is called a programming language.