Basic Elements of Real Analysis
From the author of the highly acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one- semester course in real analysis. Many students of mathematics and those students who intend to study any of the physical sciences and computer science need a tex...
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| Format: | Electronic eBook |
| Language: | English |
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New York, NY :
Springer New York,
1998.
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| Series: | Undergraduate Texts in Mathematics,
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- The Real Number System
- Continuity and Limits
- Basic Properties of Functions on ?1
- Elementary Theory of Differentiation
- Elementary Theory of Integration
- Elementary Theory of Metric Spaces
- Differentiation and Integration in ?N
- Infinite Series
- The Derivative of an Integral
- The Riemann-Stieltjes Integral
- The Implicit Function Theorem. Lagrange Multipliers
- Vector Functions on ?N; The Theorems of Green and stokes.
