TY - BOOK AU - James,J.F. TI - A student's guide to Fourier transforms: with applications in physics and engineering SN - 9781139164917 (ebook) AV - QC20.7.F67 J36 2002 U1 - 515/.723 21 PY - 2002/// CY - Cambridge PB - Cambridge University Press KW - Fourier transformations KW - Mathematical physics KW - Engineering mathematics N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science UR - https://doi.org/10.1017/CBO9781139164917 ER -