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Introductory Problem Courses in Analysis and Topology

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Cover of 'Introductory Problem Courses in Analysis and Topology'

Table of Contents

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    Book Overview
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    Chapter 1 Notations
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    Chapter 2 The Real Numbers, Regarded as an Ordered Field
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    Chapter 3 Functions, Limits, and Continuity
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    Chapter 4 Integers. Sequences. The Induction Principle
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    Chapter 5 The Continuity of IR
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    Chapter 6 The Riemann Integral of a Bounded Function
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    Chapter 7 Necessary and Sufficient Conditions for Integrability
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    Chapter 8 Invertible Functions. Arc-length and Path-length
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    Chapter 9 Point-wise Convergence and Uniform Convergence
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    Chapter 10 Infinite Series
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    Chapter 11 Absolute Convergence. Rearrangements of Series
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    Chapter 12 Power Series
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    Chapter 13 Power Series for Elementary Functions
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    Chapter 14 Sets and Functions
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    Chapter 15 Metric Spaces
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    Chapter 16 Neighborhood Spaces and Topological Spaces
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    Chapter 17 Cardinality. Finite and Countable Sets
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    Chapter 18 The Completeness of IR. Uncountable Sets
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    Chapter 19 The Schröder-Bernstein Theorem
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    Chapter 20 Compactness in IR n
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    Chapter 21 Compactness in Abstract Spaces
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    Chapter 22 The Use of Choice in Existence Proofs
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    Chapter 23 Linearly Ordered Spaces
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    Chapter 24 Mappings Between Metric Spaces
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    Chapter 25 Mappings Between Topological Spaces
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    Chapter 26 Connectivity
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    Chapter 27 Well-ordering
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    Chapter 28 The Existence of Well-orderings. Zorn’s Lemma
Attention for Chapter 3: Functions, Limits, and Continuity
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Chapter title
Functions, Limits, and Continuity
Chapter number 3
Book title
Introductory Problem Courses in Analysis and Topology
Published by
Springer, New York, NY, January 1982
DOI 10.1007/978-1-4613-8183-9_3
Book ISBNs
978-0-387-90701-7, 978-1-4613-8183-9
Authors

Edwin E. Moise

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 20%
Unknown 4 80%

Demographic breakdown

Readers by professional status Count As %
Researcher 2 40%
Professor > Associate Professor 1 20%
Student > Ph. D. Student 1 20%
Unknown 1 20%
Readers by discipline Count As %
Mathematics 1 20%
Business, Management and Accounting 1 20%
Economics, Econometrics and Finance 1 20%
Physics and Astronomy 1 20%
Unknown 1 20%