This introductory text examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Discusses distribution theory, Green's functions, Banach spaces, Hilbert space, spectral theory, and variational techniques. Also outlines the ideas behind Frechet calculus, stability and bifurcation theory, and Sobolev spaces. 1985 edition. Includes 25 figures and 9 appendices. Supplementary problems. Indexes.
This textbook studies distribution theory and Green's functions, Banach spaces and fixed point theorems, and operators in Hilbert spaces. Griffel (mathematics, University of Bristol, UK) supplies applications in fluid mechanics, approximation, and dynamical systems. This is an unabridged reprint of the 1985 revised edition published by Ellis Horwood. Annotation c. Book News, Inc., Portland, OR