Analytical, Numerical, and Computational Methods for Science and Engineering

This is an introduction to analytical and numerical methods used in engineering and scientific design practices. Building from a standard mathematics background, the text explores the fundamental numerical methods that comprise the basic tools of design. The text outlines practical aspects of the BASIC and FORTRAN computer languages as used to solve scientific design problems; reviews complex algebra including roots and logarithms of complex numbers and properties and solutions of linear algebraic equations; provides dependable numerical methods for finding the zeros and extrema of single and multivariable functions; covers polynomial properties, manipulation and factoring techniques; explores matrix viewpoint of vector analysis, vector spaces and coordinate transforms; provides in-depth treatment of least squares, curve fitting and recursive least squares estimation; and examines analytical, numerical and computational aspects of solving linear and nonlinear differential systems.