000			02125nam a22003377a 4500
001			sulb-eb0017378
003			BD-SySUS
005			20160405140651.0
008			111206s2012||||enk o ||1 0|eng|d
020			_a9781139208604 (ebook)
020			_z9781107026780 (hardback)
020			_z9781107608528 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP _dBD-SySUS.
050	0	0	_aQA300.5 _b.L37 2012
082	0	0	_a515 _223
100	1		_aLárusson, Finnur, _eauthor.
245	1	0	_aLectures on Real Analysis / _cFinnur Lárusson.
264		1	_aCambridge : _bCambridge University Press, _c2012.
300			_a1 online resource (128 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aAustralian Mathematical Society Lecture Series ; _v21
500			_aTitle from publisher's bibliographic system (viewed on 04 Apr 2016).
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
776	0	8	_iPrint version: _z9781107026780
830		0	_aAustralian Mathematical Society Lecture Series ; _v21.
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9781139208604
942			_2Dewey Decimal Classification _ceBooks
999			_c38816 _d38816