From Vector Spaces To Function Spaces Introduction To Functional Analysis With Applications Yutaka Yamamoto by Yutaka Yamamoto 9781611972306, 1611972302 instant download after payment.

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