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The Resource Introduction to metric and topological spaces, Wilson A. Sutherland

Introduction to metric and topological spaces, Wilson A. Sutherland

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
Creator
Subject
Genre
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 r̀ubber-sheet 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 third-year 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
Member of
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
Instantiates
Publication
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
Publication
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

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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