Topological Vector Spaces and Their Applications, V.I. Bogachev; O.G. Smolyanov

Автор: Brown Robert F.
Название: A Topological Introduction to Nonlinear Analysis
ISBN: 0817632581 ISBN-13(EAN): 9780817632588
Издательство: Springer
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Цена: 41880.00 T
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Описание: "The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory . . . reading is fluid and very pleasant . . . style is informal but far from being imprecise." —MATHEMATICAL REVIEWS (Review of the First Edition) Here is a book that will be a joy to the mathematician or graduate student of mathematics---or even the well-prepared undergraduate---who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world.New to the second edition: New chapters will supply additional applications of the theory and techniques presented in the book. * Several new proofs, making the second edition more self-contained.

Автор: Arnold
Название: Topological Methods in Hydrodynamics
ISBN: 038794947X ISBN-13(EAN): 9780387949475
Издательство: Springer
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Цена: 121110.00 T
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Описание: Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Korteweg-de Vries equation as a geodesic flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable.

Topological Methods in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. T e necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry.

Автор: Wojciech Banaszczyk
Название: Additive Subgroups of Topological Vector Spaces
ISBN: 3540539174 ISBN-13(EAN): 9783540539179
Издательство: Springer
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Цена: 23250.00 T
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Описание: This monograph, written in the language of functional analysis, presents in a systematic fashion the Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions that are known to be true for certain abelian topological groups.

Автор: Boju Jiang
Название: Topological Fixed Point Theory and Applications
ISBN: 3540519327 ISBN-13(EAN): 9783540519324
Издательство: Springer
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Цена: 41920.00 T
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Описание: Presents a selection of papers from the Beijing conference that offers a cross-section of the trends in the field of fixed point theory as seen by topologists and analysts. This title covers such topics as: equivariant theory, extensions of Nielsen theory, and periodic orbits of discrete and continuous dynamical systems.

Автор: Zhitao Zhang
Название: Variational, Topological, and Partial Order Methods with Their Applications
ISBN: 3642427154 ISBN-13(EAN): 9783642427152
Издательство: Springer
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Цена: 121110.00 T
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Описание: Covering leading-edge research, and with a focus on new developments in non-linear functional analysis, this is a vital addition to the literature that details theory as well as applications, providing relevant academics with a trusty guide to the field.

Автор: Taqdir Husain; Taqdir Husain
Название: The Open Mapping and Closed Graph Theorems in Topological Vector Spaces
ISBN: 3322960773 ISBN-13(EAN): 9783322960771
Издательство: Springer
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Цена: 81050.00 T
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Описание: THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed- graph theorems, and the so-called Krein-~mulian theorem.

Автор: M.P. Wolff; H.H. Schaefer
Название: Topological Vector Spaces
ISBN: 146127155X ISBN-13(EAN): 9781461271550
Издательство: Springer
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Цена: 65210.00 T
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Описание: Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are not discussed in detail here, since the book is mainly addressed to those readers who wish to go beyond the introductory level.

Автор: Dumitru Motreanu; Viorica Venera Motreanu; Nikolao
Название: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
ISBN: 1461493226 ISBN-13(EAN): 9781461493228
Издательство: Springer
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Цена: 93160.00 T
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Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.

Автор: Sofia Lambropoulou; Doros Theodorou; Petros Stefan
Название: Algebraic Modeling of Topological and Computational Structures and Applications
ISBN: 3319681028 ISBN-13(EAN): 9783319681023
Издательство: Springer
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Цена: 149060.00 T
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Описание: This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging).

Автор: Afif Ben Amar; Donal O`Regan
Название: Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications
ISBN: 3319319477 ISBN-13(EAN): 9783319319476
Издательство: Springer
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Цена: 88500.00 T
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Описание: Basic Concepts.- Nonlinear Eigenvalue Problems in Dunford-Pettis Spaces.- Fixed Point Theory in Locally Convex Spaces.- Fixed Points for Maps with Weakly Sequentially-Closed.- Fixed Point Theory in Banach Algebras.- Fixed Point Theory for (ws)-Compact Operators.- Approximate Fixed Point Theorems in Banach Spaces.

Автор: Dumitru Motreanu; Viorica Venera Motreanu; Nikolao
Название: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
ISBN: 1493944746 ISBN-13(EAN): 9781493944743
Издательство: Springer
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Цена: 102480.00 T
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Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.

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: 45400.00 T
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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.