{"product_id":"introductory-problem-courses-in-analysis-and-topology-von-e-e-moise","title":"Introductory Problem Courses in Analysis and Topology","description":"\u003cp\u003eAnalysis.- 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 Schr¿der-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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780387907017\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9780387907017","offer_id":39415119544413,"sku":"9780387907017","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/057302ce-4571-43bd-a62e-f12ab4939d53.jpg?v=1772082155","url":"https:\/\/shop.autorenwelt.de\/products\/introductory-problem-courses-in-analysis-and-topology-von-e-e-moise","provider":"Autorenwelt Shop","version":"1.0","type":"link"}