Real Analysis Foundations and Functions of One Variable /
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the stude...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
2015.
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| Edition: | First English Edition. |
| Series: | Undergraduate Texts in Mathematics,
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- A Short Historical Introduction
- Basic Concepts
- Real Numbers
- Infinite Sequences I
- Infinite Sequences II
- Infinite Sequences III
- Rudiments of Infinite Series
- Countable Sets
- Real Valued Functions of One Variable
- Continuity and Limits of Functions
- Various Important Classes of Functions (Elementary Functions)
- Differentiation
- Applications of Differentiation
- The Definite Integral
- Integration
- Applications of Integration
- Functions of Bounded Variation
- The Stieltjes Integral
- The Improper Integral.
