INTEGRAL TRANSFORMS AND FOURIER SERIES presents the fundamentals of Integral Transforms and Fourier Series with their applications in diverse fields including engineering mathematics. Beginning with the basic ideas, concepts, methods and related theorems of Laplace Transforms and their applications the book elegantly deals in detail the theory of Fourier Series along with application of Drichlet's theorem to Fourier Series. The book also covers the basic concepts and techniques in Fourier Transform, Fourier Sine and Fourier Cosine transform of a variety of functions in different types of intervals with applications to boundary value problems are the special features of this section of the book. Apart from basic ideas, properties and applications of Z-Transform, the book prepares the readers for applying Transform Calculus to applicable mathematics by introducing basics of other important transforms such as Mellin, Hilbert, Hankel, Weierstrass and Abel's Transform.