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Distributions - Theory and Applications (Hardcover, 2010)
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Distributions - Theory and Applications (Hardcover, 2010)
Series: Cornerstones
Expected to ship within 12 - 17 working days
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This text is a concise, application-oriented introduction to the
theory of distributions. It presents distributions as a natural
method of analysis from both a mathematical and physical point of
view. Methods are developed to justify many formal calculations
that do not make sense in the classical framework. The discussion
emphasizes applications to the general study of linear partial
differential equations. The topics include an introduction to
distributions, differentiation, convergence, and convolution of
distributions, as well as Fourier transformations and spaces of
distributions having special properties.The applications relate the
theory to solutions of partial differential equations occurring in
physics, for instance, in mechanics, optics, quantum mechanics,
quantum field theory and signal analysis, which students may
encounter throughout their studies.
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