Real variables with basic metric space topology
Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergraduate and graduate stud...
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| Format: | Book |
| Language: | English |
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New York
IEEE Press
1993
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Table of Contents:
- Introduction
- Some Basic Topological Properties of R'
- Upper and Lower Limits of Sequences of Real Numbers
- Continuous Functions
- Differentiation
- Riemann-Stieltjes Integration
- Uniform Convergence and Applications
- Further Topological Results
- Epilogue
- Solutions to Problems
- Index.