From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications

By: Yutaka Yamamoto

Price: $14.25

Quantity: 500 available

Book Condition: New


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. Table of Contents Preface; Glossary of Notation; 1 Vector Spaces Revisited; 2 Normed Linear Spaces and Banach Spaces; 3 Inner Product and Hilbert Spaces; 4 Dual ; 5 The Space L(X,Y) of Linear Operators; 6 Schwartz Distributions; 7 Fourier Series and Fourier Transform; 8 Laplace Transform; 9 Hardy Spaces; 10 Applications to Systems and Control; Appendix A Some Background on Sets, Mappings, and Topology; Appendix B Table of Laplace Transforms; C Solutions; D Bibliographical Notes; Bibliography; Index. PRINTED PAGES: 284.

Title: From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications

Author Name: Yutaka Yamamoto

Categories: India, Mathematics,

Edition: First Edition

Publisher: New Delhi, Orient BlackSwan Pvt. Ltd: 2017

ISBN: 9789386235343

Binding: Softcover

Book Condition: New

Seller ID: 900493

Keywords: From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications Yutaka Yamamoto