Numerical Methods and Methods of Approximation in Science and Engineering

This unique textbook focuses on building a theoretical foundation for understanding and applying numerical methods in engineering. Readers will learn to structure sequences of operations into programs in any language; this approach builds a deep understanding of the methods and how best to apply them, backed by numerous examples and problems.

Preface About the Author 1 Introduction 2 Linear Simultaneous Algebraic Equations 3 Nonlinear Simultaneous Equations 4 Algebraic Eigenvalue Problems 5 Interpolation and Mapping 6 Numerical Integration or Quadrature 7 Curve Fitting 8 Numerical Differentiation 9 Numerical Solutions of BVPs 10 Numerical Solution of Initial Value Problems 11 Fourier Series BIBLIOGRAPHY INDEX