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This book gives a lucid and effective presentation of the mathematics essential to engineering and physical sciences. It covers a host of physical science and engineering applications and examples.It is a fully revised introductory text that provides students with a firm grounding in mathematical concepts, tools, and techniques essential to the solution of applied mathematics problems encountered most frequently. The text is designed for first and second semester courses in applied mathematics as given in mathematics, engineering, and physics departments. A course in differential equations is a prerequisite. Table of Contents Preface Ordinary Differential Equations Series Method Laplace Transforms The Theory of Matrices Matrix Applications Vector Analysis Fourier Series Partial Differential Equations Numerical Methods Complex Variables Bibliography Appendices Answers to Selected Problems Index