Applied Analysis by the Hilbert Space Method

An Introduction with Applications to the Wave, Heat, and Schrödinger Equations

Nonfiction, Science & Nature, Mathematics
Cover of the book Applied Analysis by the Hilbert Space Method by Samuel S. Holland Jr., Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Samuel S. Holland Jr. ISBN: 9780486139296
Publisher: Dover Publications Publication: May 4, 2012
Imprint: Dover Publications Language: English
Author: Samuel S. Holland Jr.
ISBN: 9780486139296
Publisher: Dover Publications
Publication: May 4, 2012
Imprint: Dover Publications
Language: English
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 Schrödinger'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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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 Schrödinger'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.

More books from Dover Publications

Cover of the book None But the Lonely Heart and Other Songs for High Voice by Samuel S. Holland Jr.
Cover of the book An Outcast of the Islands by Samuel S. Holland Jr.
Cover of the book Plantation Houses and Mansions of the Old South by Samuel S. Holland Jr.
Cover of the book Obelists Fly High by Samuel S. Holland Jr.
Cover of the book The Way of All Flesh by Samuel S. Holland Jr.
Cover of the book The Mystery-Religions by Samuel S. Holland Jr.
Cover of the book Dresser's Victorian Ornamentation by Samuel S. Holland Jr.
Cover of the book Green Tea and Other Ghost Stories by Samuel S. Holland Jr.
Cover of the book Farmers of Forty Centuries by Samuel S. Holland Jr.
Cover of the book A Dictionary and Glossary of the Koran by Samuel S. Holland Jr.
Cover of the book The Great German Mystics by Samuel S. Holland Jr.
Cover of the book Traditional Edgings to Crochet by Samuel S. Holland Jr.
Cover of the book Celtic Art by Samuel S. Holland Jr.
Cover of the book Guide to the Practical Study of Harmony by Samuel S. Holland Jr.
Cover of the book Flowers, Butterflies and Insects by Samuel S. Holland Jr.
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy