Applied Functional Analysis, Alampallam V. Balakrishnan

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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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.

Автор: Zeidler
Название: Applied Functional Analysis
ISBN: 0387944222 ISBN-13(EAN): 9780387944227
Издательство: Springer
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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.

Автор: Eberhard Zeidler
Название: Applied Functional Analysis
ISBN: 0387944427 ISBN-13(EAN): 9780387944425
Издательство: Springer
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Описание: Represents an elementary introduction into applied functional analysis addressed to beginning graduate students in mathematics, physics and engineering.

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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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).

Автор: Wengenroth Jochen
Название: Derived Functors in Functional Analysis
ISBN: 3540002367 ISBN-13(EAN): 9783540002369
Издательство: Springer
Цена: 32560.00 T
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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.

Автор: Fabio Botelho
Название: Functional Analysis and Applied Optimization in Banach Spaces
ISBN: 3319060732 ISBN-13(EAN): 9783319060736
Издательство: Springer
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Цена: 111790.00 T
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Описание: Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one.

Автор: Abul Hasan Siddiqi
Название: Functional Analysis and Applications
ISBN: 9811037248 ISBN-13(EAN): 9789811037245
Издательство: Springer
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Описание: This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.

Автор: S.P. Singh
Название: Nonlinear Functional Analysis and Its Applications
ISBN: 9401085595 ISBN-13(EAN): 9789401085595
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute, Maratea, Italy, April 22-May 3, 1985

Автор: John B Conway
Название: A Course in Functional Analysis
ISBN: 1441930922 ISBN-13(EAN): 9781441930927
Издательство: Springer
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Цена: 58650.00 T
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Описание: From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author."

Автор: Botelho, Fabio
Название: Functional analysis and applied optimization in banach spaces
ISBN: 3319382063 ISBN-13(EAN): 9783319382067
Издательство: Springer
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Цена: 102480.00 T
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Описание: Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one.

Автор: K. Pothoven
Название: Real and Functional Analysis
ISBN: 1468423339 ISBN-13(EAN): 9781468423334
Издательство: Springer
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Описание: This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com- prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory.

Автор: Eberhard Zeidler
Название: Applied Functional Analysis
ISBN: 1461269105 ISBN-13(EAN): 9781461269106
Издательство: Springer
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Описание: A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability. Albert Einstein There are two different ways of teaching mathematics, namely, (i) the systematic way, and (ii) the application-oriented way. More precisely, by (i), I mean a systematic presentation of the material governed by the desire for mathematical perfection and completeness of the results. In contrast to (i), approach (ii) starts out from the question "What are the most important applications?" and then tries to answer this question as quickly as possible. Here, one walks directly on the main road and does not wander into all the nice and interesting side roads. The present book is based on the second approach. It is addressed to undergraduate and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems that are related to our real world and that have played an important role in the history of mathematics. The reader should sense that the theory is being developed, not simply for its own sake, but for the effective solution of concrete problems. viii Preface This introduction to functional analysis is divided into the following two parts: Part I: Applications to mathematical physics (the present AMS Vol. 108); Part II: Main principles and their applications (AMS Vol. 109).