[PDF] Linear Operators And Linear Systems eBook

Author : Jonathan R. Partington
Publisher : Cambridge University Press
Page : 184 pages
File Size : 49,24 MB
Release : 2004-03-15
Category : Mathematics
ISBN : 9780521546195

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Author : M Thamban Nair
Publisher : World Scientific
Page : 264 pages
File Size : 45,78 MB
Release : 2009-05-05
Category : Mathematics
ISBN : 981446967X

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Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be.This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.

Author : Jonathan Richard Partington
Publisher :
Page : 166 pages
File Size : 24,61 MB
Release : 2004
Category : Electronic books
ISBN : 9781316086155

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This book presents an introduction to the common ground between operator theory and linear systems theory. Suitable for students of functional analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering.

Author : Vladimir Müller
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 40,74 MB
Release : 2007-12-24
Category : Mathematics
ISBN : 3764382651

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This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.

Author : Arch W. Naylor
Publisher : Springer Science & Business Media
Page : 648 pages
File Size : 46,78 MB
Release : 1982
Category : Mathematics
ISBN : 9780387950013

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This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.

Author : Frédéric Bayart
Publisher : Cambridge University Press
Page : 352 pages
File Size : 41,76 MB
Release : 2009-06-04
Category : Mathematics
ISBN : 0521514967

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The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.

Author : Joachim Weidmann
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 47,88 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461260272

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This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.

Author : Amnon Pazy
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 23,25 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461255619

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Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.

Author : Jonathan R. Partington
Publisher : Cambridge University Press
Page : 171 pages
File Size : 49,20 MB
Release : 2004-03-22
Category : Mathematics
ISBN : 0521837340

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