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  3. An Introduction to Fourier Analysis and Generalised Functions
  • Cited by 627
Publisher:
Cambridge University Press
Online publication date:
March 2012
Print publication year:
1958
Online ISBN:
9781139171427
DOI:
https://doi.org/10.1017/CBO9781139171427
Subjects:
Mathematics, Real and Complex Analysis, Fluid Dynamics and Solid Mechanics, Mathematical Modeling and Methods
Series:
Cambridge Monographs on Mechanics
Information

Book description

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.

Reviews

'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 Source: 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.'

Source: Science Progess

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