TY  - BOOK
AU  - Lárusson,Finnur
TI  - Lectures on Real Analysis
T2  - Australian Mathematical Society Lecture Series
SN  - 9781139208604 (ebook)
AV  - QA300.5 .L37 2012
U1  - 515 23
PY  - 2012///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematical analysis
N1  - Title from publisher's bibliographic system (viewed on 04 Apr 2016)
N2  - 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 for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis
UR  - http://dx.doi.org/10.1017/CBO9781139208604
ER  -