Distributions, Fourier Transforms And Some Of Their Applications To Physics: 37 (World Scientific Lecture Notes In Physics) - Softcover

Schücker, Thomas

 
9789810205355: Distributions, Fourier Transforms And Some Of Their Applications To Physics: 37 (World Scientific Lecture Notes In Physics)
Softcover
ISBN 10: 981020535X ISBN 13: 9789810205355
Publisher: Wspc, 1991

Synopsis

In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: - It only presupposes standard calculus.- It allows to justify manipulations necessary in physical applications.The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

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Review

"The presentation is clear, lively and motivated by applications in physics. The book fulfills the promise of being accessible to students with a background in calculus and in basic physics." P Szeptycki Mathematical Reviews, 1992

Synopsis

A text for undergraduates in mathematics, physics, and engineering, based on lectures by Schucker in Berkeley and Heidelberg during 1988-1990. The prerequisities on the mathematical side are linear algebra and real analysis, while introductory courses on electrodynamics and quantum mechanics are nee

"About this title" may belong to another edition of this title.

Publisher
Wspc
Publication date
1991
Language
English
ISBN 10 
981020535X
ISBN 13 
9789810205355
Binding
Paperback
Number of pages
180