Name: From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications
Brand: Orient Blackswan Pvt Ltd
SKU: 9789386235343
Price: 785.0 INR
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From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications

by Yutaka Yamamoto

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ISBN13: 9789386235343
Binding: Paperback
Subject: N/A
Publisher: Orient Blackswan Pvt Ltd
Publisher Imprint: Orient Blackswan Pvt Ltd
Publication Date: January 1, 2017
Pages: 284
Original Price: INR 1095.0
Language: English
Edition: N/A
Item Weight: 470 grams
BISAC Subject(s): General

About The Book

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.

It presents:

an easily accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory;
an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking; and
an understandable yet penetrating treatment of such modern methods and topics as function spaces and distributions, Fourier and Laplace analyses, and Hardy spaces.

Keywords: vector spaces, distributions, Fourier analysis, and Hardy spaces, functional analytic methods, systems and control theory

About The Author

Yutaka Yamamoto is a professor in the Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Kyoto, Japan. His main interest is in system and control theory, particularly the theory of sampled data control systems, its application to digital signal processing, realization and robust control of distributed parameter systems, and related mathematical problems. He is a recipient of the G. S. Axelby Outstanding Paper Award of the IEEE Control Systems Society, the Commendation for Science and Technology by the Minister of Education in Japan, the Distinguished Member Award of the Control Systems Society of the IEEE, and various other awards. He has authored or co-authored more than 200 journal or conference papers. He is currently President-Elect of the IEEE Control Systems Society and past President of ISCIE Japan. He is a fellow of the IEEE and ISCIE, Japan.

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