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Green's Functions with Applications (Paperback, 2nd edition)
Loot Price: R1,995
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Green's Functions with Applications (Paperback, 2nd edition)
Series: Advances in Applied Mathematics
Expected to ship within 12 - 17 working days
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Since publication of the first edition over a decade ago, Green's
Functions with Applications has provided applied scientists and
engineers with a systematic approach to the various methods
available for deriving a Green's function. This fully revised
Second Edition retains the same purpose, but has been meticulously
updated to reflect the current state of the art. The book opens
with necessary background information: a new chapter on the
historical development of the Green's function, coverage of the
Fourier and Laplace transforms, a discussion of the classical
special functions of Bessel functions and Legendre polynomials, and
a review of the Dirac delta function. The text then presents
Green's functions for each class of differential equation (ordinary
differential, wave, heat, and Helmholtz equations) according to the
number of spatial dimensions and the geometry of the domain.
Detailing step-by-step methods for finding and computing Green's
functions, each chapter contains a special section devoted to
topics where Green's functions particularly are useful. For
example, in the case of the wave equation, Green's functions are
beneficial in describing diffraction and waves. To aid readers in
developing practical skills for finding Green's functions, worked
examples, problem sets, and illustrations from acoustics, applied
mechanics, antennas, and the stability of fluids and plasmas are
featured throughout the text. A new chapter on numerical methods
closes the book. Included solutions and hundreds of references to
the literature on the construction and use of Green's functions
make Green's Functions with Applications, Second Edition a valuable
sourcebook for practitioners as well as graduate students in the
sciences and engineering.
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