Introduction
Numbers and Their Accuracy, Computer Arithmetic, Mathematical Preliminaries.
Errors
Errors and Their Computation, General Error Formula, Error in a Series Approximation.
Algebraic and Transcendental Equations
Bisection Method, Iteration Method, Method of False Position, Newton-Raphson Method, Methods of Finding Complex Roots, Muller s Method, Rate of Convergence of Iterative Methods, Polynomial Equations.
The limitations of analytical methods in practical applications have led mathematicians to evolve numerical methods.
We know that exact methods often fail in drawing plausible inferences from a given set of tabulated data or in finding roots of transcendental equations or in solving non-linear differential equations.
Even if analytical solutions are available, they are not amenable to direct numerical interpretation.
The aim of numerical analysis is, therefore, to provide constructive methods for obtaining answers to such problems in a numerical form. With the advent of high speed computers and increasing demand for numerical solutions to various problems, numerical techniques have become indispensible tools in the hands of engineers and scientists.
We can solve equations x 2 ? 5 x + 6 = 0, ax 2 + bx + c = 0, y ? + 3 y ? + 2 y = 0 by analytical methods, but transcendental equations such as a cos 2 x + be x = 0 cannot be solved by analytical methods. Such equations are...
TABLE OF CONTENTS 
