Numerical Analysis

This book contains Concept of Numerical Analysis, The Sources and Propagation of Error, Computer Representation of Numbers, Sources of Error, Propagation of Errors, Propagation of Error in Sum, Stability in Numerical Analysis, Root Finding For Nonlinear Equations, Simple Enclosure Methods, Secant Method, Newton’s Method, General Theory for One Point Iteration Methods, Error Tests. Numerical Evaluation of Multiple Roots, Roots of Polynomials, Mullers Method, Non-Linear Systems of Equations, Newton’s Method for Non- Linear Systems, Interpolation Theory, Polynomial Interpolation Theory, Newton’s Divided Differences, Finite Difference and Table Oriented Interpolation formulas, Forward-Differences, Hermite Interpolation, Spline Functions,Approximation of Functions, Numerical Integration,Numerical Methods for Differential Equation. This book is useful for post graduate students.