A Guide to Functional Analysis
£33.99
Part of Dolciani Mathematical Expositions
- Author: Steven G. Krantz, Washington University, St Louis
- Date Published: June 2013
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
- format: Hardback
- isbn: 9780883853573
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Hardback
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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.
Read more- A quick but precise introduction to the subject
- Covers all the basics of functional analysis before moving on to more advanced topics
- Contains plenty of examples and applications
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×Product details
- Date Published: June 2013
- format: Hardback
- isbn: 9780883853573
- length: 150 pages
- dimensions: 235 x 156 x 14 mm
- weight: 0.34kg
- contains: 6 b/w illus. 1 table
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
Preface
1. Fundamentals
2. Ode to the dual space
3. Hilbert space
4. The algebra of operators
5. Banach algebra basics
6. Topological vector spaces
7. Distributions
8. Spectral theory
9. Convexity
10. Fixed-point theorems
Table of notation
Glossary
Bibliography
Index.
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