Ebook An Introduction to Fourier Analysis and Generalised Functions (Cambridge Monographs on Mechanics), by M. J. Lighthill
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An Introduction to Fourier Analysis and Generalised Functions (Cambridge Monographs on Mechanics), by M. J. Lighthill
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This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.
- Sales Rank: #1484493 in Books
- Published on: 1958-01-01
- Original language: English
- Number of items: 1
- Dimensions: 8.50" h x .28" w x 5.43" l, .32 pounds
- Binding: Paperback
- 108 pages
Review
'An extremely lucid and well-written account ... a stimulating and valuable addition to the literature of applied mathematics, with a good deal of the charm of eighteenth-century mathematics. It may well become a minor classic before very long.' George Weiss, Science
'Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof ... the book should be well within the compass of an honours student in mathematics or theoretical physics, and they are most strongly urged to buy it and read it.' Science Progess
About the Author
fm.author_biographical_note1
Previous books by this editor: Acta Numerica 1992 - 2003 (Vols 1 - 12); as author: First Course in the Numerical Analysis of Differential Equations (0521 553768), Approximation Theory and Optimization (0521 581907).
Most helpful customer reviews
0 of 0 people found the following review helpful.
Great information on delta functions
By Jared B
Fantastic light read. A wealth of information on Delta functions and Fourier transforms.
7 of 8 people found the following review helpful.
Great for self study
By Least Action Hero
Nice little book. Concise and clear. In the typical English style, many of the proofs are left to the reader. Lighhill will assume what he finds obvious is also obvious to the reader. This was not always the case for me. He does this alot in the proving theorems so have a pencil ready. It is alot fun to work through the proofs becuase he gives rough sketches and leaves you to fill in the details. He manages this without loss of clarity or rigor. It is good pedagogy for anyone familiar with basic analysis of real variables and some knowledge of complex variables.
5 of 5 people found the following review helpful.
Useful reference text
By Joseph
This book is a bit dense but contains a plethora of useful theorems and information on Fourier analysis. It can be slightly impenetrable, but if you put in the necessary effort it is quite rewarding.
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