FROM VECTOR SPACES TO FUNCTION
SPACES: INTRODUCTION TO FUNCTIONAL
ANALYSIS WITH APPLICATIONS BY
YUTAKA YAMAMOTO
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INTRODUCTION TO FUNCTIONAL ANALYSIS WITH APPLICATIONS BY
FROM VECTOR SPACES TO FUNCTION SPACES:
INTRODUCTION TO FUNCTIONAL ANALYSIS WITH
APPLICATIONS BY YUTAKA YAMAMOTO PDF
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Review
The material in this book is tightly put together and the writing style is mathematically sophisticated and precise. The modern style of exposition combined with the appendices result in a book that is self-contained and an excellent reference and learning source for researchers and students with a variety of backgrounds. The choice of topics covered and the clear presentation make the book eminently suited as a senior or graduate level text for a course in general and applied mathematics aimed at students interested in the mathematical foundations of control and signal processing. --Jan C. Willems, Department of Electrical Engineering, University of Leuven, Belgium
About the Author
ANALYSIS WITH APPLICATIONS BY YUTAKA YAMAMOTO PDF
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FROM VECTOR SPACES TO FUNCTION SPACES:
INTRODUCTION TO FUNCTIONAL ANALYSIS WITH
APPLICATIONS BY YUTAKA YAMAMOTO PDF
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.
From Vector Spaces to Function Spaces 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.
Audience: This book is appropriate for advanced undergraduate or graduate students in science, engineering, or mathematics. It will also be useful to working scientists and engineers who use analytical methods in applied mathematics, systems and control theorists, and practitioners who need basics in mathematics.
Contents: Preface; Glossary of Symbols; Chapter 1: Vector Spaces Revisited; Chapter 2: Normed Linear Spaces and Banach Spaces; Chapter 3: Inner Product and Hilbert Spaces; Chapter 4: Dual Spaces; Chapter 5: The Space L(X,Y) of Linear Operators; Chapter 6: Schwartz Distributions; Chapter 7: Fourier Series and Fourier Transform; Chapter 8: Laplace Transform; Chapter 9: Hardy Spaces; Chapter 10: Applications to Systems and Control; Appendix A: Some Background in Sets, Mappings, Topology; Appendix B: Table of Laplace Transforms; Solutions; Bibliographical Notes; Bibliography; Index.
Sales Rank: #3008753 in Books
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Brand: Brand: SIAM - Society for Industrial and Applied Mathematics
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Published on: 2012-08-24
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Original language: English
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Number of items: 1
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Dimensions: 9.72" h x .87" w x 6.85" l, .0 pounds
● Binding: Hardcover ● 282 pages ● Features
Used Book in Good Condition
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 SICE, Japan.
Most helpful customer reviews
1 of 4 people found the following review helpful. Clearly and intense
By Rui
Dr. Yutaka have a great form of teaching this hard content. He is focused the excellence in math and have a great didactic.
0 of 3 people found the following review helpful. Five Stars
By Renato Borges Excellent book!
FROM VECTOR SPACES TO FUNCTION SPACES:
INTRODUCTION TO FUNCTIONAL ANALYSIS WITH
APPLICATIONS BY YUTAKA YAMAMOTO PDF
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Review
The material in this book is tightly put together and the writing style is mathematically sophisticated and precise. The modern style of exposition combined with the appendices result in a book that is self-contained and an excellent reference and learning source for researchers and students with a variety of backgrounds. The choice of topics covered and the clear presentation make the book eminently suited as a senior or graduate level text for a course in general and applied mathematics aimed at students interested in the mathematical foundations of control and signal processing. --Jan C. Willems, Department of Electrical Engineering, University of Leuven, Belgium
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 SICE, Japan.
