Linear Integral Equations: Ram P. Kanwal: 9780817639402: Amazon.com: Books (original) (raw)
Reviewed in the United States on July 11, 2015
In this 318-page volume, the author presents the reader with a number of methods for solving linear integral equations, which are often discussed within the context of Fredholm integrals using matrix, integral transforms (e.g. Fourier and Laplace transforms, pp.219-236), successive-approximation techniques (pp.25-40), and partial differential equations (pp.95-145).
Useful observations are made concerning the Dirac delta function (p.73) and Green's functions (p.76). The Dirichlet condition is also addressed (pp.96; 119-120).
The emphasis of the book is in providing the reader with the tools for solving problems in science and engineering. Among the applications addressed are electrostatics (pp.106-115; 123-128; 263-267; 275-278), fluid flow (pp.115-118; 134-135; 267-271; 278-281), acoustic diffraction (pp.130-134), heat conduction (pp.140-142), oscillations in solids due to fluid flow (pp.281-288), elasticity theory (pp.291-299), and scattering theory (p.299-305).
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