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Distributions, Fourier Transforms And Some Of Their Applications To Physics (World Scientific Lecture Notes in Physics) - Softcover
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.
"synopsis" may belong to another edition of this title.
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
"About this title" may belong to another edition of this title.
- PublisherWspc
- Publication date1991
- ISBN 10 981020535X
- ISBN 13 9789810205355
- BindingPaperback
- LanguageEnglish
- Number of pages180
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Distribution, Fourier Transform and.(V37)
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Hardcover. Condition: new. Hardcover. In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: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. "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 Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9789810205355
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