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A Student's Guide to Fourier Transforms: With Applications in Physics and Engineering

por J. F. James

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Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through 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 Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert-Zernike theorem, Babinet's principle and dipole arrays.… (más)
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A Student’s Guide to Fourier Transforms is what it says it is. As it is a Student’s Guide, the book is somewhat short and the author tells us that the book is incomplete by design. The book covers Fourier Transforms which are a staple in engineering and physics. It starts out with the idea of Fourier Transforms themselves and continues on throughout, covering the equations necessary to describe them and break down the waveforms.

The book is really interesting. I happen to have the Third Edition, and in it is a program in BASIC to perform an FFT or Fast Fourier Transform. I suppose if you didn’t suck at programming like I do that you could translate it into a more modern language, but at the same time, I imagine that there are now modules or parts of the language that automatically do it in one line of code. It is still interesting to read and understand it though.

The book has applications of the things it teaches and plenty of worked examples. There aren’t really many practice problems, but that is the only thing besides the length of the book that bothered me. ( )
  Floyd3345 | Jun 15, 2019 |
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Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through 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 Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert-Zernike theorem, Babinet's principle and dipole arrays.

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