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Numerical Methods: Principles, Analyses, and Algorithms is a textbook designed to cater to the requirements of undergraduate students of various engineering streams: electronics and communication, computer science, mechanical, civil, and electrical engineering. It provides a thorough understanding of the basic principles and techniques of numerical methods, and their application to real-world problems. With an objective to provide a firm understanding of the basic concepts of numerical methods, the book presents introductory chapters on number systems, binary arithmetic, and programming tools and techniques for different programming languages such as C, C++, Basic, and Fortran. The book contains an exhaustive coverage of topics such as numerical solutions of linear and non-linear equations, eigenvalues and eigenvectors, linear least-squares problem with interpolation and extrapolation, numerical differentiation and integration, ordinary and partial differential equations including initial-value problem, boundary-value problem, and parabolic, hyperbolic and elliptic partial differential equations. Written in a lucid style and student-friendly manner, the book includes a large number of solved examples and numerous end-chapter exercises. The book will also be useful for postgraduate students as well as practising numerical analysts, statisticians, and engineers. Key Features Assumes no prior knowledge of the subject; begins like a basic text for beginners and then delves into advanced topics Includes numerous examples with step-by-step procedures and a variety of end-chapter exercises to enhance understanding of key concepts Contains algorithms that can be easily implemented in conventional programming languages such as C, C++, Basic, and Fortran or in scientific computing tools such as Matlab and Mathematica Presents advanced topics such as parallel computing and neurocomputing in numerical methods Book jacket.