A Student’s Guide to Fourier Transforms: With Applications in Physics and Engineering (Student’s Guides) 3rd Edition by J. F. James (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review From previous editions: ‘It is the wide range of topics that makes this book so appealing … I highly recommend this book for the advanced student … Even the expert who wants a deeper appreciation of the Fourier transform will find the book useful.’ Computers in Physics’… this is an excellent book to initiate students who possess a reasonable mathematical background to the use of Fourier transforms …’ Microscopy and Analysis Book Description New edition of an introduction to Fourier transforms, invaluable to students in physics, electrical and electronic engineering, and computer science. About the Author John James has held teaching positions at the University of Minnesota, Queen’s University, Belfast and the University of Manchester. He is a Fellow of the Royal Astronomical Society, a member of the Optical Society of America and of the International Astronomical Union. His research interests include the invention, design and construction of astronomical instruments and their use in astronomy, cosmology and upper-atmosphere physics. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Ok

⭐Good for a quick introduction to the topic. Not a lot of depth but some good example applications. Worthwhile for a quick reference.

⭐If you already know Fourier analysis, then you might find this book useful…except then you should already know everything in here. The author takes no effort to motivate or explain the topic from the beginning, and almost no time explaining what is being done or why (this is definitely not A Student’s Guide to Maxwell’s Equations!). Within just a few pages there is less prose than there are equations; the author just gives up on explaining what is happening and expects you to follow the math.

⭐Good theory and apllications. Maybe it could have more exercises in popular math softwarelihe Mathlab, mathematica or Maple.Interesting for people from health sciences studying mathematics, like Biomedical Engineer.I think it is graduate level.

⭐In a reply to earlier reviews , I have to say that this is a very useful book to help students to see clearly how Fourier Transforms works. If you do not know anything about Fourier, you don’t need a book like this, then you should occupy yourself with former material first. This guide starts on a level most graduate students are already comfortable with. Thanks to J.F. James.

⭐A new edition of a classic introduction to Fourier transforms. Suitable for undergraduates or the curious.

⭐Enjoyed the text. Easy reading when caught in doctors office waiting on your turn and also a good nitetime read.

⭐Handy resource — best of the Cambridge “Student’s Guides”.A colleague (who teaches the material) recommended this to me, and I like it and have subsequently recommended it to a number of students myself.The book is what it says: a “Student’s Guide”… NOT a “textbook” — the other reviewers who want MATLAB code, additional exercises, more theory, are missing the point, as is the one who says the book lacks a well defined audience: this is not a textbook, but a supplement for the student (or professional) who wants a quick, easy way in to some additional review, summary, or a short introduction. The book does this very well, and is appropriately short to suit that purpose. (Note: it is not a Schaum’s Outline either, with a zillion worked exercises… that’s yet a different beast.)This book fits nicely in the same zone as “Quick Calculus” by Ramsey and Kleppner, and “Div, Grad, Curl and all that” by Schey… neither designed to be the last word, or a stand-alone text, and both designed to help physics and engineering students get a handle on using the math.If you want more, the classic reference (and textbook, with some suggested MATLAB exercises) is Bracewell’s “The Fourier Transform and its Applications”,

⭐, which _IS_ a textbook designed for a class, and (like many texts) not as quick to use as a reference unless you already worked through it once in a class. I love that book, and recommend it highly… but it serves a different purpose. James’ book is a great “Student’s Guide”.

⭐* PhysicalThe book has 146 pages of good quality paper, the text is black and white and fine to read.* Target audience, H.N.D, Under – Graduate, Graduate, Masters?In my humble opinion, is targeted at 2nd – Year, Math and engineering Physics degrees upwards* Topics(1) Physics and Fourier Transformer 1-18, (2) Useful Properties and Theorems, 20-36, (3) Applications 1: Fraunhofer Diffraction 40-64, (4) Applications 2: Signal Analysis and Communication theory, 66-81, (5) Applications 3: Interference Spectroscopy and Special Line Shapes, 86-91, (6) Two- Dimensional Fourier Transforms, 97-103, (7) Multidimensional Fourier Transforms, 105-119, (8) the Formal Complex Fourier Transform, 120-127, (9) Discrete and Digital Fourier Transforms, Appendix Bibliography, Index* What’s the best bits?Fourier Transforms are of use in many fields, Physical Sciences, Engineering and Applied Mathematics. Fourier developed this theory in 1822-1823. It was blue-sky research at this time and of use only many decades later. Basically in math, for example, you can generate any type of periodic waveform by adding together the fundamental frequency and multiple harmonics of many strengths by multiplying the desired waveform by these sin(x), and then by cosines(x). This is called Fourier synthesis. So squares, ramps, rectangular and all other waveforms can be generated with this form of summation. The accuracy depends on the upper harmonics used. To do this use the equivalent of multiplication is a convolution which is the equivalent of addition, subtraction, multiplication and division, differentiation and integration. The useful functions are ‘Top Hat’, ‘Sinc’, ‘Dirac – Delta Comb (shah)’. Simply put the processing of the convolution of a Top Hat with another Top Hat and with another Comb is the integration of how they overlap. Such as the intensity of a signal and the frequencies over which it’s required. The intensity of this book requires a lot of concentration, it took me a few hours a day for over a several weeks to grasp this, especially chapter 3, Fraunhofer Diffraction.* SummaryThis book is helpful. I recall that when I was an undergraduate, my first lesson at the start of my second year was three – hours of this topic. Even the student who would receive a first, failed this topic fIrst time around. We had to do this differently. So don’t be worried about this initial complex nature. I am going to reread this to firm up my comprehension.

⭐Having read ‘A Student’s Guide to Maxwell’s Equations’, I had hoped that this would follow the same format and be equally explicit in its explanations. Instead it has shown me that the Cambridge Student’s Guide to… is not a consistent series following the same standards, rather it is a hodge podge of individual works. If they want to produce a series of student guides to difficult subjects they should appoint an overall editor who can make the works conform to a similar standard, but I doubt any one of these authors has read the other author’s work. Daniel Fleisch’s Maxwell’s Equations is a true student guide. This work on the other hand is a work written by a physicist who understands the subject for his fellow physicists who understand the subject and the student is nowhere enabled to enter into it.

⭐

⭐Very nice! Recommended for all physics students.

⭐There is a crying need for concise books on scientific and mathematical topics. The Champeney IoP book was a good introduction to Fourier transforms – but now out of print. This book is a nice replacement.

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