The Open Mapping and Closed Graph Theorems in Topological Vector Spaces, Taqdir Husain; Taqdir Husain

Автор: Brown Robert F.
Название: A Topological Introduction to Nonlinear Analysis
ISBN: 0817632581 ISBN-13(EAN): 9780817632588
Издательство: Springer
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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: Francis
Название: A Topological Picturebook
ISBN: 0387345426 ISBN-13(EAN): 9780387345420
Издательство: Springer
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Описание: Praise for George Francis's A Topological Picturebook:Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the new generation what ``hands on'' really means.- John Stillwell, University of San FranciscoThe Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think.- Tony Robbin, artist and author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern ThoughtThe classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces.- John Sullivan, Technische Universitat BerlinA Topological Picturebook lets students see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks.- Jeffrey Weeks, author of The Shape of SpaceA Topological Picturebook is a visual feast for anyone concerned with mathematical images.  Francis provides exquisite examples to build one's "visualization muscles".  At the same time, he explains the underlying principles and design techniques for readers to create their own lucid drawings.- George W. Hart, Stony Brook UniversityIn this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates the chicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has been won, and now it is time to reflect on their meaning. A Topological Picturebook remains indispensable.- Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer

Автор: Arnold
Название: Topological Methods in Hydrodynamics
ISBN: 038794947X ISBN-13(EAN): 9780387949475
Издательство: Springer
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Цена: 18167.00 р.
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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: Sutherland, Wilson A
Название: Introduction to Metric and Topological Spaces
ISBN: 019956308X ISBN-13(EAN): 9780199563081
Издательство: Oxford Academ
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Цена: 6810.00 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.

Автор: Wojciech Banaszczyk
Название: Additive Subgroups of Topological Vector Spaces
ISBN: 3540539174 ISBN-13(EAN): 9783540539179
Издательство: Springer
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Цена: 3487.00 р.
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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: V.I. Bogachev; O.G. Smolyanov
Название: Topological Vector Spaces and Their Applications
ISBN: 3319571168 ISBN-13(EAN): 9783319571164
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces.

Автор: Gottfried K?the
Название: Topological Vector Spaces II
ISBN: 1468494112 ISBN-13(EAN): 9781468494112
Издательство: Springer
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Цена: 16769.00 р.
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Описание: In the preface to Volume One I promised a second volume which would contain the theory of linear mappings and special classes of spaces im- portant in analysis. To the six chapters of Volume One I added two new chapters, one on linear mappings and duality (Chapter Seven), the second on spaces of linear mappings (Chapter Eight).

Автор: A.V. Arkhangel`skii
Название: Topological Function Spaces
ISBN: 0792315316 ISBN-13(EAN): 9780792315315
Издательство: Springer
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Цена: 13275.00 р.
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Описание: One service mathematics has rendered the 'Et moi, "0' si j'avait su oomment en revenir. human race. It has put common sense back je n'y serais point aile: ' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el: re of this series.

Автор: Gerard Buskes; Arnoud van Rooij
Название: Topological Spaces
ISBN: 0387949941 ISBN-13(EAN): 9780387949949
Издательство: Springer
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Цена: 6841.00 р.
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Описание: Provides an introduction to topological spaces, leading the reader to understand the notion of what is important in topology vis-a-vis geometry. This book is divided into three sections: The line and the plane, Metric spaces, and Topological spaces.