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Introduction to Metric and Topological Spaces, Sutherland, Wilson A



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Автор: Sutherland, Wilson A
Название:  Introduction to Metric and Topological Spaces
ISBN: 9780199563074
Издательство: Oxford Academ
Классификация:
ISBN-10: 0199563071
Обложка/Формат: Hardback
Страницы: 224
Вес: 0.452 кг.
Дата издания: 18.06.2009
Серия: Mathematics
Язык: English
Издание: Second Edition
Иллюстрации: 56 line illustrations
Размер: 233 x 160 x 15
Читательская аудитория: Second year and above undergraduates in Mathematics.
Ссылка на Издательство: Link
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Поставляется из: Англии
Дополнительное описание: Preface; 1: Introduction; 2: Notation and terminology; 3: More on sets and functions; 4: Review of some real analysis; 5: Metric spaces; 6: More concepts in metric spaces; 7: Topological spaces; 8: Continuity in topological spaces; bases; 9: Some concepts




Introduction to Topological Manifolds

Автор: Lee
Название: Introduction to Topological Manifolds
ISBN: 1441979395 ISBN-13(EAN): 9781441979391
Издательство: Springer
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Цена: 6924 р.
Наличие на складе: Поставка под заказ.

Описание: This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition.Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched.  The major changes include a new introduction to CW complexes (replacing most of the material on simplicial complexes in Chapter 5); expanded treatments of manifolds with boundary, local compactness, group actions, and proper maps; and a new section on paracompactness.This text is designed to be used for an introductory graduate course on the geometry and topology of manifolds.  It should be accessible to any student who has completed a solid undergraduate degree in mathematics.  The author’s book Introduction to Smooth Manifolds is meant to act as a sequel to this book.

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.
Наличие на складе: Есть у поставщика 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.

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: 5192 р.
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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: 5774 р.
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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 Methods in Hydrodynamics

Автор: Arnold
Название: Topological Methods in Hydrodynamics
ISBN: 038794947X ISBN-13(EAN): 9780387949475
Издательство: Springer
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Цена: 15014 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.

Introduction to Topological Manifolds

Автор: Lee
Название: Introduction to Topological Manifolds
ISBN: 0387987592 ISBN-13(EAN): 9780387987590
Издательство: Springer
Цена: 8888 р.
Наличие на складе: Поставка под заказ.

Описание: Gives an introduction to manifolds at the beginning graduate level. This work contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. It introduces Manifolds early and uses it as the main examples throughout.

Elements of Mathematics / Topological Vector Spaces. Chapters 1-5

Автор: Bourbaki N., Eggleston H.G., Madan S.
Название: Elements of Mathematics / Topological Vector Spaces. Chapters 1-5
ISBN: 3540423389 ISBN-13(EAN): 9783540423386
Издательство: Springer
Цена: 15014 р.
Наличие на складе: Поставка под заказ.

Описание: This is a softcover reprint of the English translation of 1987 of the second edition of Bourbaki's Espaces Vectoriels Topologiques (1981).This [second edition] is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades.Table of Contents.Chapter I: Topological vector spaces over a valued field.Chapter II: Convex sets and locally convex spaces.Chapter III: Spaces of continuous linear mappings.Chapter IV: Duality in topological vector spaces.Chapter V: Hilbert spaces (elementary theory).

Topological Invariants of Stratified Spaces

Автор: Banagl M.
Название: Topological Invariants of Stratified Spaces
ISBN: 3540385851 ISBN-13(EAN): 9783540385851
Издательство: Springer
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Цена: 11549 р.
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Описание: The central theme of this book is the restoration of PoincarГ© duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety.After carefully introducing sheaf theory, derived categories, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves, the ultimate objective is to explain the construction as well as algebraic and geometric properties of invariants such as the signature and characteristic classes effectuated by self-dual sheaves.Highlights never before presented in book form include complete and very detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author's theory of non-Witt spaces and Lagrangian structures.

Topological and Uniform Spaces

Автор: James
Название: Topological and Uniform Spaces
ISBN: 0387964665 ISBN-13(EAN): 9780387964669
Издательство: Springer
Рейтинг:
Цена: 7271 р.
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Topological Vector Spaces

Автор: Schaefer
Название: Topological Vector Spaces
ISBN: 0387987266 ISBN-13(EAN): 9780387987262
Издательство: Springer
Цена: 9816 р.
Наличие на складе: Поставка под заказ.

Описание: This book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is mainly addressed to those readers who have attained and wish to get beyond the introductory level. Each of the chapters is preceded by an introduction and followed by exercises.

These exercises are devoted to further results and supplements, in particular, to examples and counter-examples. Hints have been given where it seemed appropriate. This second edition has been thoroughly revised and includes a new chapter on C^*and W^* algebras.

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

Автор: Bekka
Название: Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces
ISBN: 0521660300 ISBN-13(EAN): 9780521660303
Издательство: Cambridge Academ
Рейтинг:
Цена: 8353 р.
Наличие на складе: Поставка под заказ.

Описание: This book focuses on recent developments in the study of geodesic flows on homogenous spaces.

Topological Riesz Spaces and Measure Theory

Автор: Fremlin
Название: Topological Riesz Spaces and Measure Theory
ISBN: 0521090318 ISBN-13(EAN): 9780521090315
Издательство: Cambridge Academ
Рейтинг:
Цена: 3970 р.
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Описание: Dr Fremlin`s aim in writing this book is to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis.


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