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A Guide to Distribution Theory and Fourier Transforms [Paperback]

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Item description for A Guide to Distribution Theory and Fourier Transforms by Robert S. Strichartz...

This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudo-differential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.
in applied analysis and mathematical physics.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   230
Est. Packaging Dimensions:   Length: 0.5" Width: 5.75" Height: 8.75"
Weight:   0.95 lbs.
Binding  Softcover
Publisher   World Scientific Publishing Company
ISBN  9812384308  
ISBN13  9789812384300  

Availability  0 units.

More About Robert S. Strichartz

Register your artisan biography and upload your photo! Robert S. Strichartz is Professor of Mathematics at Cornell University. He is the author of "The Way of Analysis" and "A Guide to Distribution Theory and Fourier Transforms."

Robert S. Strichartz has an academic affiliation as follows - Cornell University, Ithaca, New York.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Applied > Differential Equations
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Mathematical Analysis
7Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis

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Reviews - What do customers think about A Guide to Distribution Theory and Fourier Transforms?

Excellent  Sep 17, 2007
Distributions are objects most physicists will frequently encounter during their career, but, surprinsingly, the subject is not given the place it deserves in the current ordinary science curriculum.
I would particularly recommend this book to physics students willing to learn the foundation of distribution theory and its close ties to Fourier transforms. Distribution theory is, basically speaking, a way of making rigorous the operations physicists find Ok to carry on functions, that otherwise wouldn't rigorously make sense. Distribution theory therefore provides a useful way of checking, in the process of a calculation, if it is allowed (according to the extended rules of distribution theory), or if it is definitely dubious (e.g. current distribution theory doesn't provide a mean of making sense of a product of Dirac delta functions, while such expressions sometimes pop out in the context of quantum field theory ; nevertheless, there exist other formal theories, such as Colombo calculus that aim at justifying this ; yet, for some reason, they seem to bear less power than the original distribution theory).
This work is an easy, gentle, pedagogical piece of mathematical exposition.
The subject is wonderfully motivated.
As such, this book is suited to self-study.
It could also be used as a textbook for an introductory course on the subject, or as an introductory reading to more advanced texts (Aizenman, for instance).
Highly recommended.

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