MARC Record from marc_columbia

LEADER: 01971cam a2200337 u 4500
001 9600440
005 20120919174943.0
008 120207s2012 enk 000 0 eng d
016 7 $a016039287$2Uk
020 $a9781107026780 (hbk.)
020 $a1107026784 (hbk.)
020 $a9781107608528 (pbk.)
020 $a110760852X (pbk.)
035 $a(OCoLC)ocn798563030
035 $a(OCoLC)798563030
035 $a(NNC)9600440
040 $aSzZUIDS$cCHVBK$dOCLCO$dNNC
050 4 $aQA300.5$b.L37 2012
082 04 $a515
084 $aMAT034000$2bisacsh
100 1 $aLárusson, Finnur.
245 10 $aLectures on real analysis /$cFinnur Lárusson.
260 $aCambridge :$bCambridge University Press,$c2012.
300 $ax, 117 p. ;$c24 cm.
490 1 $aAustralian Mathematical Society lecture series ;$v21
520 $aThis 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.
650 0 $aMathematical analysis.
650 7 $aMATHEMATICS / Mathematical Analysis.$2bisacsh
650 7 $aReelle Analysis.$2gnd
830 0 $aAustralian Mathematical Society lecture series ;$v21.
852 00 $bmat$hQA300.5$i.L37 2012g