An Introduction To The Theory Of Linear Spaces
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An Introduction To The Theory Of Linear Spaces
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Author : Georgi E. Shilov
language : en
Publisher: Courier Corporation
Release Date : 1974-01-01
An Introduction To The Theory Of Linear Spaces written by Georgi E. Shilov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
Translation of Vvedenie v teori'iu lineinykh prostranstv.
An Introduction To The Theory Of Linear Spaces
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Author : Georgij E. Šilov
language : en
Publisher:
Release Date : 1974
An Introduction To The Theory Of Linear Spaces written by Georgij E. Šilov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Algebras, Linear categories.
Introduction To The Analysis Of Normed Linear Spaces
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Author : J. R. Giles
language : en
Publisher: Cambridge University Press
Release Date : 2000-03-13
Introduction To The Analysis Of Normed Linear Spaces written by J. R. Giles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-13 with Mathematics categories.
This is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. The reader need only be familiarity with elementary real and complex analysis, linear algebra and have studied a course in the analysis of metric spaces; knowledge of integration theory or general topology is not required. The text concerns the structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. The implications of the general theory are illustrated with a great variety of example spaces.
Groups Matrices And Vector Spaces
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Author : James B. Carrell
language : en
Publisher: Springer
Release Date : 2017-09-02
Groups Matrices And Vector Spaces written by James B. Carrell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-02 with Mathematics categories.
This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.
From Vector Spaces To Function Spaces
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Author : Yutaka Yamamoto
language : en
Publisher: SIAM
Release Date : 2012-01-01
From Vector Spaces To Function Spaces written by Yutaka Yamamoto and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Mathematics categories.
This book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and control theory. The text is designed to be accessible to those not familiar with the material and useful to working scientists, engineers, and mathematics students. The author provides the motivations of definitions and the ideas underlying proofs but does not sacrifice mathematical rigor. From Vector Spaces to Function Spaces presents: an easily accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking; and an understandable yet penetrating treatment of such modern methods and topics as function spaces and distributions, Fourier and Laplace analyses, and Hardy spaces.
A Unified Introduction To Linear Algebra
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Author : Alan Tucker
language : en
Publisher: MacMillan Publishing Company
Release Date : 1988
A Unified Introduction To Linear Algebra written by Alan Tucker and has been published by MacMillan Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
An Introduction To The Theory Of Linear Spaces
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Author :
language : en
Publisher:
Release Date : 1963
An Introduction To The Theory Of Linear Spaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Introduction To The Theory Of Linear Nonselfadjoint Operators
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Author : Israel Gohberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1978
Introduction To The Theory Of Linear Nonselfadjoint Operators written by Israel Gohberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Linear Operators In Hilbert Spaces
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Author : Joachim Weidmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Linear Operators In Hilbert Spaces written by Joachim Weidmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
The Theory Of Finite Linear Spaces
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Author : Lynn Margaret Batten
language : en
Publisher: Cambridge University Press
Release Date : 1993-11-26
The Theory Of Finite Linear Spaces written by Lynn Margaret Batten and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-26 with Mathematics categories.
This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day and is designed to be used not only as a resource for researchers in this and related areas but also as a graduate level text. A combinatorial approach is used for the greater part of the book but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there are exercises and a section of research problems.