A course in mathematical analysis
The second volume of three providing a full and detailed account of undergraduate mathematical analysis.
Read More ↓Title Statements
- Full title :A course in mathematical analysis. / D.J.H. Garling.
Summary
The second volume of three providing a full and detailed account of undergraduate mathematical analysis.
Read More ↓Edition Statements
- Publication Date:2013.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge, UK
- Language:eng
- Publication Date:2013.
Notes
Includes index.
The Physical Object
- Description:1 online resource (1 volume) : : illustrations
Edition Identifiers
- ISBN:1107032032, 9781107032033, 9781107675322, 1107675324, 9781107348301, 1107348307
- oclc:ocn872140263
- LC Classification:QA611.28
- Dewey Decimal:514/.325
Table of Contents
Cover.pdf; Cover; A COURSE IN MATHEMATICAL ANALYSIS; Title; Copyright; Contents; Introduction; Part III Metric and topological spaces; 11 Metric spaces and normed spaces; 11.1 Metric spaces: examples; 11.2 Normed spaces; 11.3 Inner-product spaces; 11.4 Euclidean and unitary spaces; 11.5 Isometries; 11.6 *The Mazur-Ulam theorem*; 11.7 The orthogonal group bold0mu mumu OdOdOdOdOdOd; 12 Convergence, continuity and topology; 12.1 Convergence of sequences in a metric space; 12.2 Convergence and continuity of mappings; 12.3 The topology of a metric space.
12.4 Topological properties of metric spaces13 Topological spaces; 13.1 Topological spaces; 13.2 The product topology; 13.3 Product metrics; 13.4 Separation properties; 13.5 Countability properties; 13.6 *Examples and counterexamples*; 14 Completeness; 14.1 Completeness; 14.2 Banach spaces; 14.3 Linear operators; 14.4 *Tietze's extension theorem*; 14.5 The completion of metric and normed spaces; 14.6 The contraction mapping theorem; 14.7 *Baire's category theorem*; 15 Compactness; 15.1 Compact topological spaces; 15.2 Sequentially compact topological spaces; 15.3 Totally bounded metric spaces.
15.4 Compact metric spaces15.5 Compact s…
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