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Fundamentals of Functional Analysis, Douglas Farenick


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Автор: Douglas Farenick
Название:  Fundamentals of Functional Analysis
ISBN: 9783319456317
Издательство: Springer
Классификация:


ISBN-10: 3319456318
Обложка/Формат: Paperback
Страницы: 451
Вес: 0.72 кг.
Дата издания: 2016
Серия: Universitext
Язык: English
Иллюстрации: 2 black & white illustrations, biography
Размер: 161 x 238 x 27
Читательская аудитория: Graduate/advanced undergraduate textbook
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required for the study of functional analysis, and which are often buried within full-length overviews of the subjects. This is particularly useful for those in applied mathematics, engineering, or physics who need to have a firm grasp of functional analysis, but not necessarily some of the more abstruse aspects of topology and measure theory normally encountered. The reader is assumed to only have knowledge of basic real analysis, complex analysis, and algebra.The latter part of the text provides an outstanding treatment of Banach space theory and operator theory, covering topics not usually found together in other books on functional analysis. Written in a clear, concise manner, and equipped with a rich array of interesting and important exercises and examples, this book can be read for an independent study, used as a text for a two-semester course, or as a self-contained reference for the researcher.
Дополнительное описание: Preface.- Topological Spaces.- Topological Spaces with Special Properties.- Measure Theory.- Integration.- Banach Spaces.- Dual Spaces.- Convexity.- Banach Space Operators.- Spectral Theory in Banach Algebras.- Hilbert Space Operators.- Algebras of Hilber



An Introduction to Multivariate Statistical Analysis, Third Edition

Автор: T. W. Anderson
Название: An Introduction to Multivariate Statistical Analysis, Third Edition
ISBN: 0471360910 ISBN-13(EAN): 9780471360919
Издательство: Wiley
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Цена: 27712.00 р.
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Описание: Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. This work treats the basic and important topics in multivariate statistics.

Applied Functional Analysis

Автор: Zeidler
Название: Applied Functional Analysis
ISBN: 0387944222 ISBN-13(EAN): 9780387944227
Издательство: Springer
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Цена: 12571.00 р.
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Описание: This is the second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications with each other. The book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The book's approach begins with the question "what are the most important applications" and proceeds to try to answer this question.

The applications concern integral equations, differential equations, bifurcation theory, the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws (the Noether theorem), the quark model, and gauge theory in elementary particle physics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus.

The first part of this textbook has been published under the title Applied Functional Analysis: Applications to Mathematical Physics.

Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 9077.00 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).

Derived Functors in Functional Analysis

Автор: Wengenroth Jochen
Название: Derived Functors in Functional Analysis
ISBN: 3540002367 ISBN-13(EAN): 9783540002369
Издательство: Springer
Цена: 4884.00 р.
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Описание: The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fr chet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators.The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.

Beginning Functional Analysis

Автор: Saxe Karen
Название: Beginning Functional Analysis
ISBN: 0387952241 ISBN-13(EAN): 9780387952246
Издательство: Springer
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Цена: 8384.00 р.
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Описание: The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces.

Fundamentals of Engineering Numerical Analysis: Second Edition

Автор: Moin P.
Название: Fundamentals of Engineering Numerical Analysis: Second Edition
ISBN: 0521711231 ISBN-13(EAN): 9780521711234
Издательство: Cambridge Academ
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Цена: 10611.00 р.
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Описание: This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs are now available at www.cambridge.org/Moin, with more than 30 exercises. This thorough and practical book is a first course in numerical analysis for new graduate students in engineering and physical science.

Functional Analysis

Автор: Peter D. Lax
Название: Functional Analysis
ISBN: 0471556041 ISBN-13(EAN): 9780471556046
Издательство: Wiley
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Цена: 17258.00 р.
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Описание: Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.


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