Lectures on real analysis [electronic resource] / Finnur Lárusson, University of Adelaide.

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"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...

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Bibliographic Details
Main Author: Lárusson, Finnur, 1966-
Language:English
Published: New York : Cambridge University Press, 2012.
Series:Australian Mathematical Society lecture series ; 21
Subjects:
Mathematical analysis.
Online Access:
EBSCO eBooks: 2012 (EBSCO)
eBook Academic Collection (EBSCOhost) – North America: 2012 (EBSCO)
Format: Electronic eBook
Contents:
  • Machine generated contents note: Preface; To the student; 1. Numbers, sets, and functions; 2. The real numbers; 3. Sequences; 4. Open, closed, and compact sets; 5. Continuity; 6. Differentiation; 7. Integration; 8. Sequences and series of functions; 9. Metric spaces; 10. The contraction principle; Index.