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

Yutaka Yamamoto

ISBN 10: 1611972302 / ISBN 13: 9781611972306

Published by SIAM - Society for Industrial and Applied Mathematics, 2012

About this Item

268 pages. 10.20x0.90x7.10 inches. In Stock. Seller Inventory # __1611972302

Bibliographic Details

Title: From Vector Spaces to Function Spaces: ...

Publisher: SIAM - Society for Industrial and Applied Mathematics

Publication Date: 2012

Binding: Hardcover

Condition: Brand New

About this title

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.

Book Description:

This book provides a treatment of analytic methods of applied mathematics. The text begins with a review of vector spaces and goes on to explore functional analysis, concluding with applications to control and systems theory. This book will appeal to working scientists, engineers and students.