This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course would. It should be possible to use these notes for a beginning of a more advanced course, but further material should be added.
Access also available here: https://www.jirka.org/ra/
Table of Contents
Introduction
1 Real Numbers
2 Sequences and Series
3 Continuous Functions
4 The Derivative
5 The Riemann Integral
6 Sequences of Functions
7 Metric Spaces
- Subject:
- Mathematics
- Material Type:
- Textbook
- Provider:
- University of Illinois at Urbana-Champaign
- Author:
- Jiří Lebl
- Date Added:
- 04/24/2019
