Elements Of Numerical Analysis

Elements of Numerical Analysis is intended to serve as a textbook for two-unit (one-year) course in Numerical Analysis at undergraduate or postgraduate level. The topics in the book have been dealt with rigorously and are supported by ample number of solved examples. Exercises are provided at the end of each chapter for practice. An attempt is made to present the subject in a simplified and systematic manner. In general, the treatment is self-contained; however, references are given wherever necessary after each chapter. The last chapter though does not form a part of the syllabus; it would prove to be useful to those engaged in research or in solving problems in applied fields. All calculations have been made on a simple (non-scientific) calculator and most of the intermediate steps are shown so that the students can follow the method easily and can also check their results. There may however be rounding-off errors, which should not be a point of concern for the reader. A procedure is presented for implementation of the method on the computer wherever required. The book covers wide-ranging topics, viz., Errors in Computation, Linear Equations and Eigen value Problem, Nonlinear Equations; Interpolation; Differentiation; Integration; Differential Equations; Splines and their Applications; Method of Least Squares and Chebyshev Approximation; Eigenvalues of Symmetric Matrices; Partial Differential Equations; Finite Element Method; Integral Equations; Difference Equations; Free and Moving Boundary Problems.