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Basic analysis : introduction to real analysis

Open Textbook Library Available online

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Format:
Book
Author/Creator:
Lebl, Jirí, author.
Language:
English
Subjects (All):
Mathematics--Textbooks.
Mathematics.
Applied mathematics--Textbooks.
Applied mathematics.
Physical Description:
1 online resource
Place of Publication:
Stillwater, Oklahoma Jirí Lebl 2020.
Language Note:
In English.
Summary:
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.
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
Notes:
CC BY-SA
Description based on print resource
OCLC:
1000324296

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