Catholic University of Zimbabwe Library
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Basic Analysis Introduction to Real Analysis Jirí Lebl

By: Lebl, Jirí [author]Contributor(s): Open Textbook Library [distributor]Material type: TextTextSeries: Open textbook libraryDistributor: Open Textbook Library Publisher: Jirí Lebl Description: 1 online resourceSubject(s): Mathematics -- Textbooks | Applied mathematics -- TextbooksLOC classification: QA1QA37.3Online resources: Access online version
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: 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.
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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

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.

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