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Lectures on real analysis

Author: Finnur Lárusson
Publisher: New York : Cambridge University Press, 2012.
Series: Australian Mathematical Society lecture series, 21.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take  Read more...
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Details

Document Type: Book
All Authors / Contributors: Finnur Lárusson
ISBN: 9781107026780 1107026784 9781107608528 110760852X
OCLC Number: 779244897
Notes: Includes index.
Description: x, 117 pages ; 24 cm.
Contents: Numbers, sets, and functions --
The real numbers --
Sequences --
Open, closed, and compact sets --
Continuity --
Differentiation --
Integration --
Sequences and series of function --
Metric spaces --
The contraction principle.
Series Title: Australian Mathematical Society lecture series, 21.
Other Titles: Lectures.
Responsibility: Finnur Lárusson, University of Adelaide.

Abstract:

A rigorous introduction to real analysis for undergraduates. Concise yet comprehensive, it includes a gentle introduction to metric spaces.  Read more...
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