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Zusatztext The presentation, description and explanation throughout the seventeen short chapters are excellent, and the text can be described as self-contained, with many suitably chosen examples and exercises ,.. An interesting innovation for the new edition is having a companion web site in which more useful and relevant materials can be found. Informationen zum Autor 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. Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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
