Introductory Problem Courses in Analysis and Topology

E. E. Moise

ISBN 10: 0387907017 / ISBN 13: 9780387907017

Published by Springer, Copernicus Mai 1982, 1982

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 108 pp. Englisch.

Seller Inventory # 9780387907017

Bibliographic Details

• Title: Introductory Problem Courses in Analysis and Topology
• Publisher: Springer, Copernicus Mai 1982
• Publication Date: 1982
• Language: English
• ISBN 10: 0387907017
• ISBN 13: 9780387907017
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 7D millimeters 235 millimeters width by 155 millimeters height by 7 millimeters depth
• Weight: 178 grams