From vector spaces to function spaces : introduction to functional analysis with applications

By:

Yamamoto, Yutaka

Material type: Text

9789386235343

Subject(s):

DDC classification:

515.7 YAM-F

Contents:

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

Summary: 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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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	515.7 YAM-F (Browse shelf(Opens below))	Available		012828

Total holds: 0

Includes bibliographical references and index.

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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