From vector spaces to function spaces : introduction to functional analysis with applications
Material type: TextPublication details: Noida : Universities Press, ©2012Description: xiv, 268 p. : ill. ; 27 cmISBN:- 9789386235343
- 515.7 YAM-F
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books | IIITD General Stacks | Mathematics | 515.7 YAM-F (Browse shelf(Opens below)) | Available | 012828 |
Browsing IIITD shelves, Shelving location: General Stacks, Collection: Mathematics Close shelf browser (Hides shelf browser)
515.7 SUH-F Functional analysis | 515.7 TOR-P Problems in real and functional analysis | 515.7 VAI-F Functional analysis | 515.7 YAM-F From vector spaces to function spaces : introduction to functional analysis with applications | 515.7 YOS-F Functional analysis | 515.7223 PRA-R Representation theory : | 515.723 DAS-I Integral transforms and their applications |
Includes bibliographical references and index.
1. Vector Spaces Revisited 2. Normed Linear Spaces and Banach Spaces 3. Inner Product and Hilbert Spaces 4. Dual Spaces 5.The Space £(X,Y) of Linear Operators 6. Schwartz Distributions 8. Laplace Transform 9. Hardy Spaces 10. Applications to Systems and Control
This book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and control theory. The text is designed to be accessible to those not familiar with the material and useful to working scientists, engineers, and mathematics students. The author provides the motivations of definitions and the ideas underlying proofs but does not sacrifice mathematical rigor.
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