This text is an outgrowth of lectures given at the University of Windsor, Canada. One of our main objectives is updating the undergraduate analysis as a rigorous postcalculus course. While such excellent books as Dieudonn´e’s Foundations of Modern Analysis are addressed mainly to graduate students, we try to simplify the modern Bourbaki approach to make it accessible to sufficiently advanced undergraduates.
Contents
- Chapter 1. Set Theory
- Chapter 2. Real Numbers. Fields
- Chapter 3. Vector Spaces. Metric Spaces
- Chapter 4. Function Limits and Continuity
- Chapter 5. Differentiation and Antidifferentiation
| Description : | Download free course Mathematical Analysis (Volume I), The Zakon Series on Mathematical Analysis, PDF book by Elias Zakon. |
| Level : | Intermediate |
| Created : | March 25, 2016 |
| Size : | 2.23 MB |
| File type : | |
| Pages : | 367 |
| Author : | Elias Zakon University of Windsor |
| Licence : | Creative commons |
| Downloads: | 829 |
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