From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications (Other Titles in Applied Mathematics) - Hardcover

Yamamoto, Yutaka

 
9781611972306: From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications (Other Titles in Applied Mathematics)
Hardcover
ISBN 10: 1611972302 ISBN 13: 9781611972306
Publisher: Society for Industrial and Applied Mathematics, 2012

Synopsis

Analytical methods of applied mathematics are the subject of this book, which takes the reader from elementary notions of functional analysis to an advanced discussion of systems and control theory. The text begins by reviewing the basics of vector spaces, the theory of which is developed further to include Banach and Hilbert spaces. This provides a strong foundation in functional analysis from which the author can launch a penetrating discussion of duality, distributions, Fourier and Laplace transforms and Hardy spaces. Finally, cutting-edge applications of these techniques to systems and control theory are presented. This text is designed to be useful to working scientists, engineers and students and will appeal to those unfamiliar with the material covered. The author's modern style of exposition provides the motivations of definitions and the ideas underlying proofs without sacrificing mathematical rigour.

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About the Author

Yutaka Yamamoto is a professor at the department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Japan. 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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Publisher
Society for Industrial and Applied Mathematics
Publication date
2012
Language
English
ISBN 10 
1611972302
ISBN 13 
9781611972306
Binding
Hardcover
Number of pages
260

Other Popular Editions of the Same Title

9789386235343: From Vector To Function Spaces

Featured Edition

ISBN 10:  938623534X ISBN 13:  9789386235343
Publisher: Universities Press, 2017
Softcover