MARC Record from Library of Congress

LEADER: 02317cam a2200337 i 4500
001 2012005596
003 DLC
005 20121003082016.0
008 120207s2012 nyu 001 0 eng
010 $a 2012005596
020 $a9781107026780 (hardback)
040 $aDLC$beng$cDLC$erda$dDLC
042 $apcc
050 00 $aQA300.5$b.L37 2012
082 00 $a515$223
084 $aMAT034000$2bisacsh
100 1 $aLárusson, Finnur,$d1966-
240 10 $aLectures.$kSelections
245 10 $aLectures on real analysis /$cFinnur Lárusson, University of Adelaide.
260 $aNew York :$bCambridge University Press,$c2012.
300 $ax, 117 pages ;$c24 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 0 $aAustralian Mathematical Society lecture series ;$v21
520 $a"This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"--$cProvided by publisher.
500 $aIncludes index.
505 8 $aMachine 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.
650 0 $aMathematical analysis.
650 7 $aMATHEMATICS / Mathematical Analysis.$2bisacsh
856 42 $3Cover image$uhttp://assets.cambridge.org/97811070/26780/cover/9781107026780.jpg