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Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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Foundations of Potential Theory (Paperback, Softcover reprint of the original 1st ed. 1967)
Loot Price: R1,589
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Foundations of Potential Theory (Paperback, Softcover reprint of the original 1st ed. 1967)
Series: Grundlehren der mathematischen Wissenschaften, 31
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Total price: R1,609
Discovery Miles: 16 090
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The present volume gives a systematic treatment of potential
functions. It takes its origin in two courses, one elementary and
one advanced, which the author has given at intervals during the
last ten years, and has a two-fold purpose: first, to serve as an
introduction for students whose attainments in the Calculus include
some knowledge of partial derivatives and multiple and line
integrals; and secondly, to provide the reader with the
fundamentals of the subject, so that he may proceed immediately to
the applications, or to the periodical literature of the day. It is
inherent in the nature of the subject that physical intuition and
illustration be appealed to freely, and this has been done.
However, that the book may present sound ideals to the student, and
in order also serve the mathematician, both for purposes of
reference and as a basis for further developments, the proofs have
been given by rigorous methods. This has led, at a number of
points, to results either not found elsewhere, or not readily
accessible. Thus, Chapter IV contains a proof for the general
regular region of the divergence theorem (Gauss', or Green's
theorem) on the reduction of volume to surface integrals. The
treatment of the fundamental existence theorems in Chapter XI by
means of integral equations meets squarely the difficulties
incident to .the discontinuity of the kernel, and the same chapter
gives an account of the most recent developments with respect to
the Dirichlet problem."
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