This book offers a brief, practically complete, and relatively
simple introduction to functional analysis. It also illustrates the
application of functional analytic methods to the science of
continuum mechanics. Abstract but powerful mathematical notions are
tightly interwoven with physical ideas in the treatment of
nontrivial boundary value problems for mechanical objects.
This second edition includes more extended coverage of the
classical andabstract portions of functional analysis. Taken
together, the first three chapters now constitute a regular text on
applied functional analysis. This potential use of the book is
supported by a significantly extended set of exercises with hints
and solutions. A new appendix, providing a convenient listing of
essential inequalities and imbedding results, has been added.
The book should appeal to graduate students and researchers in
physics, engineering, and applied mathematics.
Reviews of first edition:
"This book covers functional analysis and its applications to
continuum mechanics. The presentation is concise but complete, and
is intended for readers in continuum mechanics who wish to
understand the mathematical underpinnings of the discipline.
Detailed solutions of the exercises are provided in an appendix."
(L Enseignment Mathematique, Vol. 49 (1-2), 2003)
"The reader comes away with a profound appreciation both of the
physics and its importance, and of the beauty of the functional
analytic method, which, in skillful hands, has the power to
dissolve and clarify these difficult problems as peroxide does
clotted blood. Numerous exercises test the reader s comprehension
at every stage. Summing Up: Recommended." (F. E. J. Linton, Choice,
September, 2003)
"
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