Numerical methods for scientists and engineers

Description

This book presents an exhaustive and in-depth exposition of the various numerical methods used in scientific and engineering computations. It emphasises the practical aspects of numerical computation and discusses various techniques in sufficient detail to enable their implementation in solving a wide range of problems. The main addition in the third edition is a new Chapter on Statistical Inferences. There is also some addition and editing in the next chapter on Approximations. With this addition 12 new programs have also been added. Read more... Abstract: This book presents an exhaustive and in-depth exposition of the various numerical methods used in scientific and engineering computations. The main addition in the third edition is a new Chapter on Statistical Inferences. Read more... Front Matter....Pages i-xxxii Introduction....Pages 1-12 Roundoff Error....Pages 13-58 Linear Algebraic Equations....Pages 59-110 Interpolation....Pages 111-158 Differentiation....Pages 159-174 Integration....Pages 175-270 Nonlinear Algebraic Equations....Pages 271-344 Optimisation....Pages 345-400 Statistical Inferences....Pages 401-424 Functional Approximations....Pages 425-522 Algebraic Eigenvalue Problem....Pages 523-572 Ordinary Differential Equations....Pages 573-656 Integral Equations....Pages 657-700 Partial Differential Equations....Pages 701-772 Back Matter....Pages 773-855