 Introduction to Real Analysis
ISBN: 978-0-471-85391-6
Paperback
368 pages
June 1988
US $131.95
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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.
