Distributions

Distributions
Author: J.J. Duistermaat
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2010-08-09
Genre: Mathematics
ISBN: 0817646752

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This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.