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Author : Jonathan R. Partington
Publisher : Cambridge University Press
Page : 184 pages
File Size : 54,9 Mb
Release : 2004-03-15
Category : Mathematics
ISBN : 0521546192
Publisher Description
Author : Jonathan Richard Partington
Publisher : Unknown
Page : 166 pages
File Size : 47,8 Mb
Release : 2004
Category : Electronic books
ISBN : 0511185308
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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,5 Mb
Release : 2024-06-07
Category : Electronic
ISBN : 9789814469678
Author : Vladimir Müller
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 53,9 Mb
Release : 2007-12-24
Category : Mathematics
ISBN : 9783764382650
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 : Mark Aleksandrovich Krasnoselʹskiĭ,Evgeniĭ Arkadʹevich Lifshit︠s︡,Aleksandr Vladimirovich Sobolev
Publisher : Unknown
Page : 380 pages
File Size : 50,9 Mb
Release : 1989
Category : Iterative methods (Mathematics).
ISBN : UOM:39015015707055
Author : H. Ted Davis,Kendall T. Thomson
Publisher : Elsevier
Page : 547 pages
File Size : 41,8 Mb
Release : 2000-07-12
Category : Mathematics
ISBN : 9780080510248
Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences
Author : Israel Gohberg,Seymour Goldberg,Marinus Kaashoek
Publisher : Birkhäuser
Page : 428 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034879804
A comprehensive graduate textbook that introduces functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As a textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.
Author : Paul A. Fuhrmann
Publisher : Courier Corporation
Page : 340 pages
File Size : 49,8 Mb
Release : 2014-01-15
Category : Mathematics
ISBN : 9780486782263
Three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.
Author : V. I. Smirnov
Publisher : Springer Science & Business Media
Page : 130 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781475700138
Author : Paul A. Fuhrmann
Publisher : Courier Corporation
Page : 340 pages
File Size : 40,7 Mb
Release : 2014-02-19
Category : Mathematics
ISBN : 9780486493053
A treatment of system theory within the context of finite dimensional spaces, this text is appropriate for students with no previous experience of operator theory. The three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.
Author : Frédéric Bayart,Étienne Matheron
Publisher : Cambridge University Press
Page : 352 pages
File Size : 50,7 Mb
Release : 2009-06-04
Category : Mathematics
ISBN : 9780521514965
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 : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461260271
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 : Daniel Alpay,Mihaela B. Vajiac
Publisher : Springer
Page : 316 pages
File Size : 52,9 Mb
Release : 2019-08-08
Category : Mathematics
ISBN : 9783030184841
This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.
Author : Martin J. Corless,Art Frazho
Publisher : CRC Press
Page : 368 pages
File Size : 46,6 Mb
Release : 2003-03-27
Category : Mathematics
ISBN : 0203911377
Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.
Author : Olof J. Staffans
Publisher : Cambridge University Press
Page : 795 pages
File Size : 46,5 Mb
Release : 2005-02-24
Category : Mathematics
ISBN : 9780521825849
Publisher Description