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Generalized Functions And Partial Differential Equations (Paperback)
Loot Price: R461
Discovery Miles 4 610
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(16%)
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Generalized Functions And Partial Differential Equations (Paperback)
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List price R551
Loot Price R461
Discovery Miles 4 610
You Save R90 (16%)
Expected to ship within 10 - 15 working days
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This self-contained treatment develops the theory of generalized
functions and the theory of distributions, and it systematically
applies them to solving a variety of problems in partial
differential equations. A major portion of the text is based on
material included in the books of L. Schwartz, who developed the
theory of distributions, and in the books of Gelfand and Shilov,
who deal with generalized functions of any class and their use in
solving the Cauchy problem. In addition, the author provides
applications developed through his own research. Geared toward
upper-level undergraduates and graduate students, the text assumes
a sound knowledge of both real and complex variables. Familiarity
with the basic theory of functional analysis, especially normed
spaces, is helpful but not necessary. An introductory chapter
features helpful background on topological spaces. Applications to
partial differential equations include a treatment of the Cauchy
problem, the Goursat problem, fundamental solutions, existence and
differentiality of solutions of equations with constants,
coefficients, and related topics. Supplementary materials include
end-of-chapter problems, bibliographical remarks, and a
bibliography.
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