Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrodinger Equations

Name: Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrodinger Equations
Brand: Dover Publications
SKU: 9780486458014
Price: 2034.0 INR
Availability: InStock

by Samuel S. Holland

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ISBN13: 9780486458014
Binding: Paperback
Subject: N/A
Publisher: Dover Publications
Publisher Imprint: Dover Publications
Publication Date: June 5, 2007
Pages: 560
Original Price: USD 29.95
Language: English
Edition: N/A
Item Weight: 590 grams
BISAC Subject(s): Differential Equations / General

About The Book

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 SchrÃ¶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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