A Guide to Functional Analysis (Dolciani Mathematical Expositions, Series Number 49) - Hardcover

Krantz, Steven G.

Hardcover

ISBN 10: 0883853574 ISBN 13: 9780883853573

Publisher: American Mathematical Society, 2013

Synopsis

Functional analysis is an abstract and powerful modern theory that occupies a central role in mathematics. This book provides a quick but precise introduction to the subject, covering everything that a beginning graduate student needs to know. The subject has its roots in the theory of infinite-dimensional vector spaces which is where the book begins, with preliminaries from the theory of normed linear spaces, Hilbert spaces, operator algebras and distributions. The reader will then encounter more advanced topics such as spectral theory, convexity and fixed-point theorems. It contains plenty of examples and exercises, making it an ideal basis for advanced undergraduate and graduate level courses in a subject that has become an essential part of every analyst's toolkit.

About this title

Book Description

Functional analysis occupies a central role in modern mathematics. This book provides a quick but precise and careful introduction to the subject. It covers all the basics that a beginning graduate student needs to know, as well as more sophisticated topics such as spectral theory, convexity and fixed-point theorems.

About the Author

Steven G. Krantz was born in San Francisco. He earned a B.A. degree from the University of California at Santa Cruz and a Ph.D. from Princeton University. He has taught at UCLA, Penn State, and Washington University, also serving as Chair of the latter department. Over the course of his career he has written over 70 books and over 180 scholarly papers. He is a fellow of the American Mathematical Society and the holder of the Chauvenet Prize, the Beckenbach Book Award, and the UCLA Alumni Foundation Teaching Award.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2013
• ISBN 10: 0883853574
• ISBN 13: 9780883853573
• Binding: Hardcover
• Language: English
• Number of pages: 150