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Lectures on analysis in metric spaces, Ambrosio Luigi, Serra Cassano Francesco



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Автор: Ambrosio Luigi, Serra Cassano Francesco
Название:  Lectures on analysis in metric spaces
ISBN: 9788876422553
Издательство: Springer
Классификация:
ISBN-10: 8876422552
Обложка/Формат: Paperback
Страницы: 121
Вес: 0.272 кг.
Дата издания: 2001
Серия: Publications of the scuola normale superiore / crm series
Язык: English
Иллюстрации: Biography
Размер: 23.88 x 16.76 x 0.51
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Дополнительное описание: Формат: 240x170
Круг читателей: Graduates and researchers
Ключевые слова: analysis in metric spaces
Язык: eng





Introduction to Metric and Topological Spaces

Автор: Sutherland, Wilson A
Название: Introduction to Metric and Topological Spaces
ISBN: 019956308X ISBN-13(EAN): 9780199563081
Издательство: Oxford Academ
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Цена: 3696 р.
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Описание: This fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness.

An Introduction to Metric Spaces and Fixed Point Theory

Автор: Mohamed A. Khamsi
Название: An Introduction to Metric Spaces and Fixed Point Theory
ISBN: 0471418250 ISBN-13(EAN): 9780471418252
Издательство: Wiley
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Цена: 21863 р.
Наличие на складе: Поставка под заказ.

Описание: Presents up-to-date Banach space results. Features an extensive bibliography for outside reading. Provides detailed exercises that elucidate more introductory material.

Handbook of Metric Fixed Point Theory

Автор: Kirk W.A., Sims B.
Название: Handbook of Metric Fixed Point Theory
ISBN: 0792370732 ISBN-13(EAN): 9780792370734
Издательство: Springer
Цена: 20789 р.
Наличие на складе: Поставка под заказ.

Описание: Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers.

Metrics, norms and integrals

Автор: Koliha, Jerry J.
Название: Metrics, norms and integrals
ISBN: 981283656X ISBN-13(EAN): 9789812836564
Издательство: World Scientific Publishing
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Цена: 13010 р.
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Описание: Presents a contemporary analysis based on the author`s lectures given at the University of Melbourne. This book covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on measure spaces. It is suitable for undergraduate and graduate students.

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: 7502 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. 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). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Lectures on Analysis on Metric Spaces

Автор: Heinonen Juha
Название: Lectures on Analysis on Metric Spaces
ISBN: 0387951040 ISBN-13(EAN): 9780387951041
Издательство: Springer
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Цена: 8084 р.
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Описание: Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. In particular, there have been important advances in understanding the infinitesimal versus global behavior of Lipschitz functions and quasiconformal mappings in rather general settings; abstract Sobolev space theories have been instrumental in this development. The purpose of this book is to communicate some of the recent work in the area while preparing the reader to study more substantial, related articles. The material can be roughly divided into three different types: classical, standard but sometimes with a new twist, and recent. The author first studies basic covering theorems and their applications to analysis in metric measure spaces. This is followed by a discussion on Sobolev spaces emphasizing principles that are valid in larger contexts. The last few sections of the book present a basic theory of quasisymmetric maps between metric spaces. Much of the material is relatively recent and appears for the first time in book format. There are plenty of exercises. The book is well suited for self-study, or as a text in a graduate course or seminar. The material is relevant to anyone who is interested in analysis and geometry in nonsmooth settings.

Introduction to Metric and Topological Spaces

Автор: Sutherland, Wilson A
Название: Introduction to Metric and Topological Spaces
ISBN: 0199563071 ISBN-13(EAN): 9780199563074
Издательство: Oxford Academ
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Цена: 10408 р.
Наличие на складе: Поставка под заказ.

Описание: This fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness.

Metric Spaces

Автор: ? Searc?id
Название: Metric Spaces
ISBN: 1846283698 ISBN-13(EAN): 9781846283697
Издательство: Springer
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Цена: 4037 р.
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Описание: The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.The book is designed for third- and fourth-year undergraduates and beginning graduates. Readers should have some practical knowledge of differential and integral calculus and have completed a first course in real analysis. With its many examples, careful illustrations, and full solutions to selected exercises, this book provides a gentle introduction that is ideal for self-study and an excellent preparation for applications.

Metric Spaces

Автор: Shirali
Название: Metric Spaces
ISBN: 1852339225 ISBN-13(EAN): 9781852339227
Издательство: Springer
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Цена: 4614 р.
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Описание: Provides an introduction to metric space theory. This book covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and the Tietze-Urysohn extension theorem, Picard`s theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions.

Fixed Point Theory in Probabilistic Metric Spaces

Автор: Hadzic O., Pap E.
Название: Fixed Point Theory in Probabilistic Metric Spaces
ISBN: 1402001290 ISBN-13(EAN): 9781402001291
Издательство: Springer
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Цена: 10971 р.
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Описание: Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research. A primary aim of this monograph is to stimulate interest among scientists and students in this fascinating field. The text is self-contained for a reader with a modest knowledge of the metric fixed point theory. Several themes run through this book. The first is the theory of triangular norms (t-norms), which is closely related to fixed point theory in probabilistic metric spaces. Its recent development has had a strong influence upon the fixed point theory in probabilistic metric spaces. In Chapter 1 some basic properties of t-norms are presented and several special classes of t-norms are investigated. Chapter 2 is an overview of some basic definitions and examples from the theory of probabilistic metric spaces. Chapters 3, 4, and 5 deal with some single-valued and multi-valued probabilistic versions of the Banach contraction principle. In Chapter 6, some basic results in locally convex topological vector spaces are used and applied to fixed point theory in vector spaces. Audience: The book will be of value to graduate students, researchers, and applied mathematicians working in nonlinear analysis and probabilistic metric spaces.

Optimization on Metric and Normed Spaces

Автор: Alexander Zaslavski
Название: Optimization on Metric and Normed Spaces
ISBN: 0387886206 ISBN-13(EAN): 9780387886206
Издательство: Springer
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Цена: 19056 р.
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Описание: Covering recent work on Banach and complete metric spaces, this book uses the Baire approach and considers approximate solutions. It presents new results including penalty methods in constrained optimization and extant solutions in parametric optimization.

Sobolev Spaces on Metric Measure Spaces

Автор: Heinonen
Название: Sobolev Spaces on Metric Measure Spaces
ISBN: 1107092345 ISBN-13(EAN): 9781107092341
Издательство: Cambridge Academ
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Цена: 13283 р.
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Описание: Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincare inequality. This coherent treatment from first principles is an ideal introduction to the subject for graduate students and a useful reference for experts. It presents the foundations of the theory of such first-order Sobolev spaces, then explores geometric implications of the critical Poincare inequality, and indicates numerous examples of spaces satisfying this axiom. A distinguishing feature of the book is its focus on vector-valued Sobolev spaces. The final chapters include proofs of several landmark theorems, including Cheeger's stability theorem for Poincare inequalities under Gromov–Hausdorff convergence, and the Keith–Zhong self-improvement theorem for Poincare inequalities.


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