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Topological Spaces, Gerard Buskes; Arnoud van Rooij


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Автор: Gerard Buskes; Arnoud van Rooij
Название:  Topological Spaces
ISBN: 9781461268628
Издательство: Springer
Классификация: ISBN-10: 1461268621
Обложка/Формат: Paperback
Страницы: 313
Вес: 0.47 кг.
Дата издания: 13.10.2012
Серия: Undergraduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 18
Основная тема: Mathematics
Подзаголовок: From Distance to Neighborhood
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book is a text, not a reference, on Point-set Thpology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. Th most beginners, Thpology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. Th mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Thpological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Thpology preeminently is a subject with an extensive ar- ray of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thrifty. Th meet them halfway, in Chapter 18 we briefly introduce and discuss a number of topological properties, but even there we do not touch on paracompactness, com- plete normality, and extremal disconnectedness-just to mention three terms that are not really esoteric.

A Topological Introduction to Nonlinear Analysis

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.

A Topological Picturebook

Автор: Francis
Название: A Topological Picturebook
ISBN: 0387345426 ISBN-13(EAN): 9780387345420
Издательство: Springer
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Цена: 46570.00 T
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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

Topological Spaces

Автор: Gerard Buskes; Arnoud van Rooij
Название: Topological Spaces
ISBN: 0387949941 ISBN-13(EAN): 9780387949949
Издательство: Springer
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Цена: 45610.00 T
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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.

Topological Methods in Hydrodynamics

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.

Topological Modeling for Visualization

Автор: Anatolij T. Fomenko, Tosiyasu L. Kunii
Название: Topological Modeling for Visualization
ISBN: 4431669582 ISBN-13(EAN): 9784431669586
Издательство: Springer
Цена: 74530.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This fantastic textbook was written by two internationally famous authors, Fomenko and Kunii. Because this book requires only high school mathematics, students of the 1st year of undergraduate course can start reading it smoothly. They can learn all the necessary mathematics for visualization through this book. This book covers not only linear but also non-linear problems with a lot of examples. Even students in cognitive science or financial analysis who should solve non-linear problems will find this book helpful.

Topological Function Spaces

Автор: A.V. Arkhangel`skii
Название: Topological Function Spaces
ISBN: 0792315316 ISBN-13(EAN): 9780792315315
Издательство: Springer
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Цена: 88500.00 T
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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.

Young Measures on Topological Spaces

Автор: Charles Castaing; Paul Raynaud de Fitte; Michel Va
Название: Young Measures on Topological Spaces
ISBN: 1402019637 ISBN-13(EAN): 9781402019630
Издательство: Springer
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Цена: 102480.00 T
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Описание: Aims to provides applications to Visintin and Reshetnyak type theorems (Chapters 6 and 8), existence of solutions to differential inclusions (Chapter 7), dynamical programming (Chapter 8) and the Central Limit Theorem in locally convex spaces (Chapter 9).

The Open Mapping and Closed Graph Theorems in Topological Vector Spaces

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.

Topological Vector Spaces and Algebras

Автор: Lucien Waelbroeck
Название: Topological Vector Spaces and Algebras
ISBN: 3540056505 ISBN-13(EAN): 9783540056508
Издательство: Springer
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Цена: 23250.00 T
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Differential Calculus in Topological Linear Spaces

Автор: S. Yamamuro
Название: Differential Calculus in Topological Linear Spaces
ISBN: 3540067094 ISBN-13(EAN): 9783540067092
Издательство: Springer
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Цена: 23250.00 T
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Barrelledness in Topological and Ordered Vector Spaces

Автор: T. Husain; S.M. Khaleelulla
Название: Barrelledness in Topological and Ordered Vector Spaces
ISBN: 3540090967 ISBN-13(EAN): 9783540090960
Издательство: Springer
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Цена: 41920.00 T
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Bundles of Topological Vector Spaces and Their Duality

Автор: G. Gierz
Название: Bundles of Topological Vector Spaces and Their Duality
ISBN: 3540116109 ISBN-13(EAN): 9783540116103
Издательство: Springer
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Цена: 37220.00 T
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