Linear Operators and Linear Systems PDF Download

Author: Jonathan R. Partington
Publisher: Cambridge University Press
ISBN: 9780521546195
Category : Mathematics
Languages : en
Pages : 184

View

Book Description
Publisher Description

Author: M Thamban Nair
Publisher: World Scientific
ISBN: 981446967X
Category : Mathematics
Languages : en
Pages : 264

View

Book Description
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: Frédéric Bayart
Publisher: Cambridge University Press
ISBN: 0521514967
Category : Mathematics
Languages : en
Pages : 352

View

Book Description
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: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610

View

Book Description

Author: Mark Aleksandrovich Krasnoselʹskiĭ
Publisher:
ISBN:
Category : Iterative methods (Mathematics).
Languages : en
Pages : 380

View

Book Description

Author: David Applebaum
Publisher: Cambridge University Press
ISBN: 1108483097
Category : Mathematics
Languages : en
Pages : 235

View

Book Description
Provides a graduate-level introduction to the theory of semigroups of operators.

Author: Israel Gohberg
Publisher: Birkhäuser
ISBN: 303488401X
Category : Mathematics
Languages : en
Pages : 261

View

Book Description
This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. The self-contained material should appeal to a wide group of mathematicians and engineers, and is suitable for teaching.

Author: Amnon Pazy
Publisher: Springer Science & Business Media
ISBN: 1461255619
Category : Mathematics
Languages : en
Pages : 289

View

Book Description
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: Joachim Weidmann
Publisher: Springer Science & Business Media
ISBN: 1461260272
Category : Mathematics
Languages : en
Pages : 413

View

Book Description
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: Francoise Chatelin
Publisher: SIAM
ISBN: 0898719992
Category : Mathematics
Languages : en
Pages : 482

View

Book Description
Originally published: New York: Academic Press, 1983.