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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: 9780199563081
Издательство: Oxford Academ
Классификация:
ISBN-10: 019956308X
Обложка/Формат: Paperback
Страницы: 224
Вес: 0.348 кг.
Дата издания: 18.06.2009
Серия: Mathematics
Язык: English
Издание: Second Edition
Иллюстрации: 56 line illustrations
Размер: 231 x 156 x 12
Читательская аудитория: Second year and above undergraduates in Mathematics.
Ссылка на Издательство: Link
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Поставляется из: Англии
Дополнительное описание: Topology; Real analysis, real variables; Geometry




      Старое издание

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
Рейтинг:
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.

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.
Наличие на складе: Поставка под заказ.

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.

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.
Наличие на складе: Поставка под заказ.

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.

A Topological Picturebook

Автор: Francis
Название: A Topological Picturebook
ISBN: 0387345426 ISBN-13(EAN): 9780387345420
Издательство: Springer
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Цена: 5774 р.
Наличие на складе: Поставка под заказ.

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

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.

Topological Riesz Spaces and Measure Theory

Автор: Fremlin
Название: Topological Riesz Spaces and Measure Theory
ISBN: 0521090318 ISBN-13(EAN): 9780521090315
Издательство: Cambridge Academ
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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.

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 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.

A Cp-Theory Problem Book: Topological and Function Spaces

Автор: Tkachuk
Название: A Cp-Theory Problem Book: Topological and Function Spaces
ISBN: 1441974415 ISBN-13(EAN): 9781441974419
Издательство: Springer
Рейтинг:
Цена: 8661 р.
Наличие на складе: Поставка под заказ.

Описание: The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.

Normal Topological Spaces

Автор: Alo
Название: Normal Topological Spaces
ISBN: 0521095301 ISBN-13(EAN): 9780521095303
Издательство: Cambridge Academ
Рейтинг:
Цена: 5203 р.
Наличие на складе: Поставка под заказ.

Описание: This text bridges the gap existing in the field of set theoretical topology between the introductory texts and the more specialized monographs.

Introduction to Topological Manifolds

Автор: Lee
Название: Introduction to Topological Manifolds
ISBN: 1441979395 ISBN-13(EAN): 9781441979391
Издательство: Springer
Рейтинг:
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.

Topological and Uniform Spaces

Автор: James
Название: Topological and Uniform Spaces
ISBN: 0387964665 ISBN-13(EAN): 9780387964669
Издательство: Springer
Рейтинг:
Цена: 7271 р.
Наличие на складе: Поставка под заказ.


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