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

ISBN: 9781611972306

Published: October 1st 2012

Hardcover

260 pages


Description

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

From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications by Yutaka Yamamoto
October 1st 2012 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 260 pages | ISBN: 9781611972306 | 5.21 Mb

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 vectorMoreAnalytical 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 authors modern style of exposition provides the motivations of definitions and the ideas underlying proofs without sacrificing mathematical rigour.



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