A Guide to Functional Analysis (Dolciani Mathematical Expositions)

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9780883853573: A Guide to Functional Analysis (Dolciani Mathematical Expositions)
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This book is a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and even some applications. It concludes with a statement and proof of Lomonosov's dramatic result about invariant subspaces.

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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.

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Steven G. Krantz
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Book Description Mathematical Association of America, United States, 2013. Hardback. Condition: New. UK ed.. Language: English . Brand New Book. 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. Seller Inventory # AAN9780883853573

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Book Description Mathematical Association of America, United States, 2013. Hardback. Condition: New. UK ed.. Language: English . Brand New Book. 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. Seller Inventory # AAN9780883853573

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Book Description The Mathematical Association of America, 2013. Hardcover. Condition: Brand New. 149 pages. 9.20x6.10x0.60 inches. In Stock. Seller Inventory # __0883853574

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