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5.0 out of 5 stars The most readable functional analysis book for engineers., 13 May 1999
By A Customer
This review is from: Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements (Texts in Applied Mathematics) (Hardcover)
This book is essentially the second edition of his now out of print book titled "Functional Analysis and Boundary-Value Problems: An Introductory Treatment". I like this bood very much. It is not very demanding on mathematical procedures, but lays out the nessary concepts in a very logical progression for Engineers and none math majors, though some math people may not like it. The examples and graphs are very revealing; they illustrates mathematical concepts very well, makes them easier to understand.
I first noticed the power of Functional Analysis when the professor proved that you'll never get a converged finite element results around a point load, no matter how you refine the mesh. The odd things was that he didn't even mention shape functions and stuff; just used some properties of spaces and operators. Though not on the same scale, that reminded me the spirit of Andrew Wiles's proof of Fermat's last theorem. This book easy starters in to appreciate the power and beauty of mathematics.
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