Basic Analysis: Introduction to Real Analysis

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Rating:
Student Teacher
Author:
Provider:
University of Illinois at Urbana-Champaign
Level:
Community College / Lower Division
Language:
English
Material Type:
Lecture Notes, Textbooks
Media Format:
Downloadable docs, Text/HTML
Abstract:
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.

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