The Resource Introduction to metric and topological spaces, Wilson A. Sutherland
Introduction to metric and topological spaces, Wilson A. Sutherland
Resource Information
The item Introduction to metric and topological spaces, Wilson A. Sutherland represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to metric and topological spaces, Wilson A. Sutherland represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 "One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as r̀ubbersheet geometry', with pictures of Möbius bands, doughnuts, Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second or thirdyear mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book."  Publisher's description
 Language
 eng
 Edition
 2nd ed.
 Extent
 xi, 206 pages
 Note
 Previous ed.: Oxford: Clarendon, 1975
 Contents

 Notation and terminology
 More on sets and functions
 Review of some real analysis
 Metric spaces
 More concepts in metric spaces
 Topological spaces
 Continuity in topological spaces; bases
 Some concepts in topological spaces
 Subspaces and product spaces
 The Hausdorff condition
 Connected spaces
 Compact spaces
 Sequential compactness
 Quotient spaces and surfaces
 Uniform convergence
 Complete metric spaces
 Isbn
 9780199563074
 Label
 Introduction to metric and topological spaces
 Title
 Introduction to metric and topological spaces
 Statement of responsibility
 Wilson A. Sutherland
 Title variation
 Introduction to metric & topological spaces
 Language
 eng
 Summary
 "One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as r̀ubbersheet geometry', with pictures of Möbius bands, doughnuts, Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second or thirdyear mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book."  Publisher's description
 Cataloging source
 UKM
 http://library.link/vocab/creatorName
 Sutherland, W. A.
 Dewey number
 514.32
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA611.3
 LC item number
 .S93 2009
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Oxford mathematics
 http://library.link/vocab/subjectName

 Topological spaces
 Metric spaces
 Label
 Introduction to metric and topological spaces, Wilson A. Sutherland
 Note
 Previous ed.: Oxford: Clarendon, 1975
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Notation and terminology  More on sets and functions  Review of some real analysis  Metric spaces  More concepts in metric spaces  Topological spaces  Continuity in topological spaces; bases  Some concepts in topological spaces  Subspaces and product spaces  The Hausdorff condition  Connected spaces  Compact spaces  Sequential compactness  Quotient spaces and surfaces  Uniform convergence  Complete metric spaces
 Control code
 318670561
 Dimensions
 24 cm
 Edition
 2nd ed.
 Extent
 xi, 206 pages
 Isbn
 9780199563074
 Isbn Type
 (hbk.)
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)318670561
 Label
 Introduction to metric and topological spaces, Wilson A. Sutherland
 Note
 Previous ed.: Oxford: Clarendon, 1975
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Notation and terminology  More on sets and functions  Review of some real analysis  Metric spaces  More concepts in metric spaces  Topological spaces  Continuity in topological spaces; bases  Some concepts in topological spaces  Subspaces and product spaces  The Hausdorff condition  Connected spaces  Compact spaces  Sequential compactness  Quotient spaces and surfaces  Uniform convergence  Complete metric spaces
 Control code
 318670561
 Dimensions
 24 cm
 Edition
 2nd ed.
 Extent
 xi, 206 pages
 Isbn
 9780199563074
 Isbn Type
 (hbk.)
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)318670561
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Introductiontometricandtopologicalspaces/TlOSQ7FgISw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Introductiontometricandtopologicalspaces/TlOSQ7FgISw/">Introduction to metric and topological spaces, Wilson A. Sutherland</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>