Index of Symbols and Important Formulae; The Laplace Transform, (The Laplace transform, The Inverse Laplace Transform, Applications to Differential Equations, Applications to Integral Equations); The Fourier Transform (The Infinite Fourier Integral Equations); The Fourier Transform (The Infinite Fourier Transform, The Finite Fourier Transform and Fourier Integral); Hankel Transform; Laplace's Wave and Heat Conduction Equation; Applications of Laplace Transform to Boundary V alue Problems; Applications of Fourier Transforms to Boundary V alue Problems; Mellin Transforms; Fourier Series & Boundary V alue Problems.