Wilson A. Sutherland (Oxford Emeritus Fellow of New College)

Introduction to Metric and Topological Spaces

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Oxford University Press
• 2 Revised edition
• Seitenzahl: 224
• Erscheinungstermin: 4. Oktober 2009
• Englisch
• Abmessung: 231mm x 154mm x 17mm
• Gewicht: 358g
• ISBN-13: 9780199563081
• ISBN-10: 019956308X
• Artikelnr.: 27870832

Autorenporträt

Wilson A Sutherland was for many years a lecturer in mathematics in the University of Oxford, and a mathematics tutor at New College, Oxford. He has also taught at Massachusetts Institute of Technology and the University of Manchester, and, as a visiting professor, at Yale University and the University of Aberdeen.

Inhaltsangabe

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 in topological spaces
10: Subspaces and product spaces
11: The Hausdorff condition
12: Connected spaces
13: Compact spaces
14: Sequential compactness
15: Quotient spaces and surfaces
16: Uniform convergence
17: Complete metric spaces
References
Index