Basic Analysis Introduction to Real Analysis

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 Wisc...

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Main Author: Lebl, Jirí (Author)
Format: Electronic eBook
Language:English
Published: Stillwater, Oklahoma Jirí Lebl 2020.
Series:Open textbook library.
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Online Access:Access online version
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505 0 |a 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 
520 0 |a 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. 
542 1 |f Attribution-NonCommercial-ShareAlike 
546 |a In English. 
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650 0 |a Applied mathematics  |v Textbooks 
650 0 |a Analysis  |v Textbooks 
710 2 |a Open Textbook Library  |e distributor 
856 4 0 |u https://open.umn.edu/opentextbooks/textbooks/95  |z Access online version