This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms. The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.
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Transforms are presented graphically (pictorial dictionary chapter, which makes the text a useful reference for both students and engineers, and medical technicians.
Depth of problems (often expect "opinion" answers: In order to do the problem, the student must really understand the concept behind it.
Many problems discussed (end of book): Students can work backwards to understand an answer.
Emphasis on Applications (throughout the text): a) Aids students in seeing how mathematical concepts apply to the physical world,
b) Explains what results are saying before deriving them mathematically.
Chapters on Dynamic Spectra, Wavelets, Antennas, Optics, Statistical Signals, and Diffusion: a) Up-to-date coverage on the growing topic of wavelet transforms and time-frequency analysis,
b) Gives instructors flexibility in choosing among the application chapters.
Teaches students graphical interpretation of formulae, while helps students to better understand the math involved in Fourier Transforms.
Ronald Bracewell (Stanford, CT) is the L.M. Terman Professor Emeritus of Electrical Engineering at Stanford University.
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