Title Statements
- Full title :Introductory Problem Courses in Analysis and Topology / by Edwin E. Moise.
Edition Statements
- Publication Date:1982.
Publication Statements
- Publisher(s):Springer US
- Place of Publication:New York, NY
- Language:eng
- Publication Date:1982.
The Physical Object
- Description:1 online resource (94 pages)
Edition Identifiers
- ISBN:9781461381839, 1461381835
- DOI:10.1007/978-1-4613-8183-9.
- oclc:ocn852791938
- LC Classification:QA299.6-433
- Dewey Decimal:515
Table of Contents
Analysis -- 1. Notations -- 2. The Real Numbers, Regarded as an Ordered Field -- 3. Functions, Limits, and Continuity -- 4. Integers. Sequences. The Induction Principle -- 5. The Continuity of? -- 6. The Riemann Integral of a Bounded Function -- 7. Necessary and Sufficent Conditions for Integrability -- 8. Invertible Functions. Arc-length and Path-length -- 9. Point-wise Convergence and Uniform Convergence -- 10. Infinite Series -- 11. Absolute Convergence. Rearrangements of Series -- 12. Power Series -- 13. Power Series for Elementary Functions -- Topology -- 1. Sets and Functions -- 2. Metric Spaces -- 3. Neighborhood Spaces and Topological Spaces -- 4. Cardinality -- 5. The Completeness of?. Uncountable Sets -- 6. The Schröder-Bernstein Theorem -- 7. Compactness in?n -- 8. Compactness in Abstract Spaces -- 9. The Use of Choice in Existence Proofs -- 10. Linearly Ordered Spaces -- 11. Mappings Between Metric Spaces -- 12. Mappings Between Topological Spaces -- 13. Connectivity -- 14. Well-ordering -- 15. The Existence of Well-orderings. Zorn's Lemma.
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