This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.
A 2003 textbook on Fourier and Laplace transforms for undergraduate and graduate students.Reviews'... excellent textbook ...' Zentralblatt MATH
Book InformationISBN 9780521806893
Author R. J. BeerendsFormat Hardback
Page Count 458
Imprint Cambridge University PressPublisher Cambridge University Press
Weight(grams) 1010g
Dimensions(mm) 254mm * 178mm * 25mm