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Applied Functional Analysis, Eberhard Zeidler


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Автор: Eberhard Zeidler
Название:  Applied Functional Analysis
ISBN: 9781461269106
Издательство: Springer
Классификация:
ISBN-10: 1461269105
Обложка/Формат: Paperback
Страницы: 481
Вес: 0.72 кг.
Дата издания: 06.10.2012
Серия: Applied Mathematical Sciences
Язык: English
Размер: 234 x 156 x 26
Основная тема: Mathematics
Подзаголовок: Applications to Mathematical Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
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).


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.

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.

Functional Analysis and Applied Optimization in Banach Spaces

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: 16769.00 р.
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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.

Applied Functional Analysis

Автор: Eberhard Zeidler
Название: Applied Functional Analysis
ISBN: 0387944427 ISBN-13(EAN): 9780387944425
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Represents an elementary introduction into applied functional analysis addressed to beginning graduate students in mathematics, physics and engineering.

Functional analysis and applied optimization in banach spaces

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: 15372.00 р.
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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.

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).

Functional Analysis and Applications

Автор: Abul Hasan Siddiqi
Название: Functional Analysis and Applications
ISBN: 9811037248 ISBN-13(EAN): 9789811037245
Издательство: Springer
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Цена: 11878.00 р.
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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.

Nonlinear Functional Analysis and Its Applications

Автор: S.P. Singh
Название: Nonlinear Functional Analysis and Its Applications
ISBN: 9401085595 ISBN-13(EAN): 9789401085595
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Maratea, Italy, April 22-May 3, 1985

Exercises in Functional Analysis

Автор: C. Costara; D. Popa
Название: Exercises in Functional Analysis
ISBN: 9048163994 ISBN-13(EAN): 9789048163991
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The understanding of results and notions for a student in mathematics requires solving ex- ercises. The exercises are also meant to test the reader's understanding of the text material, and to enhance the skill in doing calculations. This book is written with these three things in mind. It is a collection of more than 450 exercises in Functional Analysis, meant to help a student understand much better the basic facts which are usually presented in an introductory course in Functional Analysis. Another goal of this book is to help the reader to understand the richness of ideas and techniques which Functional Analysis offers, by providing various exercises, from different topics, from simple ones to, perhaps, more difficult ones. We also hope that some of the exercises herein can be of some help to the teacher of Functional Analysis as seminar tools, and to anyone who is interested in seeing some applications of Functional Analysis. To what extent we have managed to achieve these goals is for the reader to decide.

Real and Functional Analysis

Автор: K. Pothoven
Название: Real and Functional Analysis
ISBN: 1468423339 ISBN-13(EAN): 9781468423334
Издательство: Springer
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Цена: 6986.00 р.
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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.

Geometric Aspects of Functional Analysis

Автор: Joram Lindenstrauss; Vitali Milman
Название: Geometric Aspects of Functional Analysis
ISBN: 3034899025 ISBN-13(EAN): 9783034899024
Издательство: Springer
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Цена: 14673.00 р.
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Описание: This is the sixth published volume of the Israel Seminar on Geometric Aspects of Functional Analysis. The previous volumes are 1983-84 published privately by Tel Aviv University 1985-86 Springer Lecture Notes, Vol. 1267 1986-87 Springer Lecture Notes, Vol. 1317 1987-88 Springer Lecture Notes, Vol. 1376 1989-90 Springer Lecture Notes, Vol. 1469 As in the previous vC!lumes the central subject of -this volume is Banach space theory in its various aspects. In view of the spectacular development in infinite-dimensional Banach space theory in recent years (like the solution of the hyperplane problem, the unconditional basic sequence problem and the distortion problem in Hilbert space) it is quite natural that the present volume contains substantially more contributions in this direction than the previous volumes. This volume also contains many important contributions in the "traditional directions" of this seminar such as probabilistic methods in functional analysis, non-linear theory, harmonic analysis and especially the local theory of Banach spaces and its connection to classical convexity theory in IRn. The papers in this volume are original research papers and include an invited survey by Alexander Olevskii of Kolmogorov's work on Fourier analysis (which was presented at a special meeting on the occasion of the 90th birthday of A. N. Kol- mogorov). We are very grateful to Mrs. M. Hercberg for her generous help in many directions, which made the publication of this volume possible. Joram Lindenstrauss, Vitali Milman 1992-1994 Operator Theory: Advances and Applications, Vol.

Evolution Equations, Semigroups and Functional Analysis

Автор: Alfredo Lorenzi; Bernhard Ruf
Название: Evolution Equations, Semigroups and Functional Analysis
ISBN: 3034894805 ISBN-13(EAN): 9783034894807
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savar , R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi


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