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Textbook
Introduction to Real AnalysisISBN: 978-0-471-85391-6
Paperback
368 pages
January 1991, ©1988
 This is a Print-on-Demand title. It will be printed specifically to fill your order. Please allow an additional 10-15 days delivery time. The book is not returnable.
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Preliminaries.
Real Numbers.
Sequences.
Infinite Series.
Euclidean Spaces.
Limits of Functions.
Continuity and Uniform Continuity.
Sequences of Functions.
The Riemann Integral Reviewed.
The Gauge Integral.
The Gauge Integral Over Unbounded Intervals.
Convergence Theorems.
Multiple Integrals.
Convolution and Approximation.
Metric Spaces.
Topology in Metric Spaces.
Continuity.
Complete Metric Spaces.
Contraction Mappings.
The Baire Category Theorem.
Compactness.
Connectedness.
The Stone-Weierstrass Theorem.
Differentiation of Vector-valued Functions.
Mapping Theorems.
Bibliography.
Index.
Real Numbers.
Sequences.
Infinite Series.
Euclidean Spaces.
Limits of Functions.
Continuity and Uniform Continuity.
Sequences of Functions.
The Riemann Integral Reviewed.
The Gauge Integral.
The Gauge Integral Over Unbounded Intervals.
Convergence Theorems.
Multiple Integrals.
Convolution and Approximation.
Metric Spaces.
Topology in Metric Spaces.
Continuity.
Complete Metric Spaces.
Contraction Mappings.
The Baire Category Theorem.
Compactness.
Connectedness.
The Stone-Weierstrass Theorem.
Differentiation of Vector-valued Functions.
Mapping Theorems.
Bibliography.
Index.
Related Titles
Real Analysis
Resources for
Instructors
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