Computation is an indispensable tool in the analysis and exploration of a wide range of physical phenomena. This book presents an exhaustive exposition of the various numerical methods used in scientific and engineering applications. It emphasizes the practical aspects of numerical computation and discusses various techniques in sufficient detail to enable their implementation in solving a wide range of problems. An important addition in this revised third edition is a chapter on basic statistics. More than 100 workedout examples illustrate a variety of numerical algorithms. The limitations of the algorithms are also discussed, as are pitfalls in numerical computations. A special feature is the inclusion of a discussion of techniques for errorestimation. In addition, more than 500 unsolved problems (with answers) of varying difficulty are included, and more than 200 computer programs in FORTRAN and C, covering all topics, are provided as supplementary material online. These give the book a strong pedagogic focus. Examples and exercises are drawn from areas as diverse as fluid mechanics, celestial mechanics, and seismology. This book will be extremely useful for graduate students and researchers in all branches of science and engineering. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in science and engineering. Table of Contents  Introduction
 Roundoff error
 Linear algebraic equations
 Interpolation
 Differentiation
 Integration
 Nonlinear algebraic equations
 Optimisation
 Statistical inferences
 Functional approximations
 Algebraic eigenvalue problem
 Ordinary differential equations
 Integral equations
 Partial differential equations
 Appendix A: Answers and hints
 Index
