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Basic Analysis: Introduction to Real Analysis
Conditional Remix & Share Permitted
CC BY-NC-SA
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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.

Subject:
Mathematics
Material Type:
Textbook
Provider:
University of Illinois at Urbana-Champaign
Author:
Jiří Lebl
Date Added:
02/16/2011
Basic Analysis: Introduction to Real Analysis
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This free online textbook (e-book in webspeak) is a one semester course in basic analysis. This book started its life as my lecture notes for Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in the fall semester of 2009, and was later enhanced to teach Math 521 at University of Wisconsin-Madison (UW-Madison). A prerequisite for the course is a basic proof course. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a first semester of a more advanced course that also covers topics such as metric spaces.

Subject:
Mathematics
Material Type:
Reading
Provider:
Oklahoma State University
Author:
Jiri Lebl
Date Added:
01/01/2016
Introduction to Topology
Conditional Remix & Share Permitted
CC BY-NC-SA
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This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.

Subject:
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Munkres, James
Date Added:
09/01/2004