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...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1998, 1998
|
| Edition: | 1st ed. 1998 |
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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