This text provides a clear treatment of Fourier series, Fourier tranforms, and FFTs. The sofware included with the book and updated for this edition enables you to generate images of Fourier analysis described in the text. Topics include applications to vibrating strings (including computer animation), heat conduction, removal of noise and frequency detection, filtering of Fourier series and improvement of convergence, electron diffraction, imaging with coherent and incoherent monochromatic light, spectral analysis with diffraction gartings, Fourier transform properties of lenses, Poisson summation, sampling theory and aliasing.
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3 of 3 people found the following review helpful:
4.0 out of 5 stars
Can be understood by an undergraduate physics major.,
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This review is from: Fast Fourier Transforms: Second Edition (Studies in Advanced Mathematics) (Hardcover)
This is a book written for mathematicians, yet it is accessible to an upper level physics undergraduate. Much of the book explains concepts very well, at other times I was very frustrated. The DOS based software included with the book did not seem to work as billed on my systems. A high point of the book is Walkers 2 dimensional Fourier optics section. This section does an excellent job on a complex topic.
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This review is from: Fast Fourier Transforms: Second Edition (Studies in Advanced Mathematics) (Hardcover)
Fast delivery, reliable packaging, superb condition of the book and the accompanying diskette.Extremely satisfied with my purchase.
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Inside This Book
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First Sentence:
This chapter is a summary of the basic theory of Fourier series. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
summation kernel, fast sine transform, exact transform, sampling series, fast cosine transform, series partial sums, double precision arrays, reconstruction kernel, pupil function, aperture function, incoherent illumination, incoherent imaging, real multiplications, disk accompanying, sine series, sine and cosine transforms, dark field imaging, double convex lens, bit reversal, transform procedure, instrument function, back focal plane, discrete sine, function menu, periodic extension Key Phrases - Capitalized Phrases (CAPs): (learn more)
Repeat Exercise, Exercises Section, Graphs of Fourier, M-harmonic Fourier, Oxford University Press, Compute the N-point, Repeat Example New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter is a summary of the basic theory of Fourier series. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
summation kernel, fast sine transform, exact transform, sampling series, fast cosine transform, series partial sums, double precision arrays, reconstruction kernel, pupil function, aperture function, incoherent illumination, incoherent imaging, real multiplications, disk accompanying, sine series, sine and cosine transforms, dark field imaging, double convex lens, bit reversal, transform procedure, instrument function, back focal plane, discrete sine, function menu, periodic extension Key Phrases - Capitalized Phrases (CAPs): (learn more)
Repeat Exercise, Exercises Section, Graphs of Fourier, M-harmonic Fourier, Oxford University Press, Compute the N-point, Repeat Example New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 54
books:
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1
book
cites this book:
- Fourier Analysis by James S. Walker on 7 pages
- Wavelets and Other Orthogonal Systems, Second Edition (Studies in Advanced Mathematics) by Gilbert G. Walter in Front Matter, and Back Matter
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John in Front Matter, and Back Matter
- Real Analysis and Foundations, Second Edition (Studies in Advanced Mathematics) by Steven G. Krantz in Front Matter, and Back Matter
- The Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) by Walter Rudin in Back Matter
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