Finite Dimensional Linear Analysis
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Finite Dimensional Linear Analysis
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Author : I. M. Glazman
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01
Finite Dimensional Linear Analysis written by I. M. Glazman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
A sequence of 2,400 propositions and problems features only hints. Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 edition.
Finite Dimensional Linear Analysis
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Author : Израиль Маркович Глазман
language : en
Publisher: MIT Press (MA)
Release Date : 1974
Finite Dimensional Linear Analysis written by Израиль Маркович Глазман and has been published by MIT Press (MA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Algebras, Linear categories.
First published in Russian in 1969, this remarkable book develops the subject of linear algebra in a novel fashion: it presents a logically interconnected sequence of propositions and problems--some 2400 in all--"without proofs" but with a scaffolding of hints and pointers. The student is asked to work out formal proofs systematically, proceeding from simple verifications to relatively advanced strategies and techniques of proof. The material is organized into ten chapters.The authors have based their approach on the fundamental pedagogic proposition that the best way to learn mathematics is to "do" mathematics-- that the essence of understanding any given set of mathematical propositions comes when the student succeeds in proving them for himself, however roughly, rather than after a mere reading of a series of proofs, however polished. This aspect of the book will appeal to strongly motivated students: it can be used as a resource for independent study and in cooperative seminars, preferably without faculty presence. Of course, it can also be used as the basis of more conventional lecture presentations. It is suggested that the book be introduced at the senior or the first-year graduate level.The book is also meant to give insight into functional analysis, which may be formulated as linear analysis within an infinite-dimensional framework. As the student allows his consideration of the propositions move toward the limiting case of unrestricted dimensionality, he will find that his conceptual outlook approaches that proper to functional analysis. In that regard, the book represents an introduction to the latter subject, free of the difficulties inherent in the explicit admission of infinities.
Finite Dimensional Linear Systems
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Author : Roger W. Brockett
language : en
Publisher: SIAM
Release Date : 2015-05-26
Finite Dimensional Linear Systems written by Roger W. Brockett and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-26 with Mathematics categories.
Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of nontrivial examples and many exercises.
Finite Dimensional Linear Analysis Systematic Presentationin Problem Form
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Author : Glazman I M & Ljubic J.
language : en
Publisher:
Release Date : 1974
Finite Dimensional Linear Analysis Systematic Presentationin Problem Form written by Glazman I M & Ljubic J. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Finite Dimensional Linear Algebra
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Author : Mark S. Gockenbach
language : en
Publisher: CRC Press
Release Date : 2011-06-15
Finite Dimensional Linear Algebra written by Mark S. Gockenbach and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-15 with Mathematics categories.
Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation. The author begins with an overview of the essential themes of the book: linear equations, best approximation, and diagonalization. He then takes students through an axiomatic development of vector spaces, linear operators, eigenvalues, norms, and inner products. In addition to discussing the special properties of symmetric matrices, he covers the Jordan canonical form, an important theoretical tool, and the singular value decomposition, a powerful tool for computation. The final chapters present introductions to numerical linear algebra and analysis in vector spaces, including a brief introduction to functional analysis (infinite-dimensional linear algebra). Drawing on material from the author’s own course, this textbook gives students a strong theoretical understanding of linear algebra. It offers many illustrations of how linear algebra is used throughout mathematics.
Linear Functional Analysis
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Author :
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2005
Linear Functional Analysis written by and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Functional analysis categories.
Finite Dimensional Convexity And Optimization
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Author : Monique Florenzano
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Finite Dimensional Convexity And Optimization written by Monique Florenzano 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 book discusses convex analysis, the basic underlying structure of argumentation in economic theory. Convex analysis is also common to the optimization of problems encountered in many applications. The text is aimed at senior undergraduate students, graduate students, and specialists of mathematical programming who are undertaking research into applied mathematics and economics. The text consists of a systematic development in eight chapters, and contains exercises. The book is appropriate as a class text or for self-study.
Linear Functional Analysis
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Author : Hans Wilhelm Alt
language : en
Publisher: Springer
Release Date : 2016-07-06
Linear Functional Analysis written by Hans Wilhelm Alt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-06 with Mathematics categories.
This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.
Linear Algebra Problem Book
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Author : Paul R. Halmos
language : en
Publisher: American Mathematical Soc.
Release Date : 1995-12-31
Linear Algebra Problem Book written by Paul R. Halmos 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 1995-12-31 with Mathematics categories.
Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
An Introduction To Infinite Dimensional Linear Systems Theory
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Author : Ruth F. Curtain
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Infinite Dimensional Linear Systems Theory written by Ruth F. Curtain 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.
Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.