Through numerous examples and end-of-chapter exercises, this book develops readers' analytical and computational skills in the theory and applications of transform methods. It covers advanced mathematical methods for many applications in science and engineering. The book presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms. This third edition includes revised chapters, several new sections, new examples of applications, new exercises with solutions, and many more new features.