Basic Analysis
Lebl, Jirí
Basic Analysis Introduction to Real Analysis Jirí Lebl - 1 online resource - Open textbook library. .
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.
In English.
Mathematics--Textbooks
Applied mathematics--Textbooks
QA1 QA37.3
Basic Analysis Introduction to Real Analysis Jirí Lebl - 1 online resource - Open textbook library. .
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.
In English.
Mathematics--Textbooks
Applied mathematics--Textbooks
QA1 QA37.3