Offers the fundamental concepts of algebra, trigonometry, analytic geometry, and calculus. This book guides students and practitioners to an understanding of ordinary differential equations, Laplace transforms, Fourier series, complex variables, conforming mapping, and more.

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Review of Fundamental Concepts Ordinary Differential Equations Linear Differential Equations Laplace Transforms Vector Analysis Multiple, Line, and Surface Integrals and Integral Theorems Fourier Series Fourier Integrals Gamma, Beta, and Other Special Functions Bessel Functions Lengendre Functions and Other Orthogonal Functions of Partial Differential Equations Complex Variables and Conformal Mapping Complex Inversion Formula for Laplace Transforms Matrices Calculus of Variations