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Catalogue Information
Field name	Details
Dewey Class	515
Title	Introductory Problem Courses in Analysis and Topology ([EBook] /) / by Edwin E. Moise.
Author	Moise, Edwin E.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer US, , 1982.
Physical Details	94 p. : online resource.
Series	Universitext 0172-5939
ISBN	9781461381839
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-8183-9
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Topology . Authors: Moise, Edwin E. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515 .

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Introductory Problem Courses in Analysis and Topology

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