Title: Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schr�dinger Equations (Dover Books on Mathematics)
Publisher: Dover Publications
Publication Date: 2007
Language: English
ISBN 10: 0486458016
ISBN 13: 9780486458014
Binding: Paperback
Edition: Dover Ed.
Condition: New

About this title

Synopsis

Numerous worked 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 accessible to undergraduates as well as an ideal self-study guide.
Featuring full discussions of first and second order linear differential equations, the text introduces the fundamentals of Hilbert space theory and Hermitian differential operators. It derives the eigenvalues and eigenfunctions of classical Hermitian differential operators, develops the general theory of orthogonal bases in Hilbert space, and offers a comprehensive account of Schr�dinger's equations. In addition, it surveys the Fourier transform as a unitary operator and demonstrates the use of various differentiation and integration techniques.
Samuel S. Holland, Jr. is a professor of mathematics at the University of Massachusetts, Amherst. He has kept this text accessible to undergraduates by omitting proofs of some theorems but maintaining the core ideas of crucially important results. Intuitively appealing to students in applied mathematics, physics, and engineering, this volume is also a fine reference for applied mathematicians, physicists, and theoretical engineers.

About the Author

Samuel S. Holland, Jr., is a professor of mathematics at the University of Massachusetts, Amherst.

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