Introductory Problem Courses in Analysis and Topology / by Edwin E. Moise
(Universitext)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer US |
| 出版年 | 1982 |
| 本文言語 | 英語 |
| 大きさ | 94 p : online resource |
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| 内容注記 | 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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| 著者標目 | *Moise, Edwin E. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Topology FREE:Mathematics FREE:Analysis FREE:Topology |
| 分 類 | DC23:515 |
| 巻冊次 | ISBN:9781461381839 
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| ISBN | 9781461381839 |
| URL | http://dx.doi.org/10.1007/978-1-4613-8183-9 |
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