Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrodinger Equations (Dover Books on Mathematics) | 
 enlarge | Author: Samuel S. Holland
Publisher: Dover Publications
Category: Book
List Price: $29.95
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Rating:  2 reviews
Sales Rank: 326675
Media: Paperback
Edition: Dover Ed
Pages: 576
Number Of Items: 1
Shipping Weight (lbs): 1.3
Dimensions (in): 8.4 x 5.3 x 1.2
ISBN: 0486458016
Dewey Decimal Number: 515.35
EAN: 9780486458014
Publication Date: June 5, 2007
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Product Description
Numerous examples and exercises highlight this unified treatment of the Hermitian operator theory in its Hilbert space setting. Its simple explanations of difficult subjects make it intuitively appealing to students in applied mathematics, physics, and engineering. It is also a fine reference for professionals. 1990 edition.
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| Customer Reviews:
Perfect for mathematicaal physics courses December 6, 2007
Francisco Coutinho (Sao Paulo, Sao Paulo Brazil)
7 out of 7 found this review helpful
This book is for a one year course on functional analysis. It would replace a traditional course course on mathematical physics with advantage.The first two chapters are on ordinary differential equations. They are very good.The third chapter is on Hilbert spaces beggining with the vibrating string , fourier series , etc, thus motivating the last section on Hilbert Spaces.The fourth chapter is on eigenvalues and eigenfunctions of second order differential operators The remaining of the book covers the Schrodinger equation in one dimension , Bessel's Fuctions , Eigenfunctions of the Laplacian and the Fourier transform .The book explain difficult concepts in simple terms. Things like Lebesque integral,Absolutely continuos functions, etc Everything is carefully explained.Let me quote this passage on page 419: "The elements of this Hilbert Space are functions of two variables.The Hilbert spaces we considered in earlier chapters consisted in functions of one variable. Does this confuses us? Not us!"In fact the book is almost perfect
A nice and unsual textbook August 30, 2007
areader (Caracas, D.F. Venezuela)
11 out of 11 found this review helpful
This is an interesting book which combines Hilbert spaces, differential equations, and Fourier analysis at very elementary undergraduate level. This textbook may have the best elementary introduction to Schrodinger equation without being a functional analysis or quantum mechanic course. Its applications to Laplace operators and Sturm Liouville problems are very well motivated and developed. This is not a standard textbook, its content and examples are not easily obtained from other sources in the same context. Their early editions were very expensive and hard to find, so this new paperback reedition is welcome.
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