000			01797cam a22002894a 4500
001			14655194
005			20250603140026.0
008			061204s2006 enka 001 0 eng c
020			_a9780521684248
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB3 P6 NBHM _qCSl
100	1		_aBrannan, D. _eauthor. _9811567
245	1	2	_aFirst course in mathematical analysis
246	3	0	_aMathematical analysis
260			_aCambridge ; _bCambridge University Press : _c2006.
300			_axii, 459 p. : _bill. ; _c25 cm.
500			_aIncludes index.
520			_aMathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.
650		0	_aMathematical analysis. _9713900
650		0	_aCalculus.
650		0	_aSeries _9652564
650		0	_acontinuty _9811568
650		0	_aDifferentation _9811569
650		0	_aIntegeration _9811570
942			_2CC _n0 _cTEXL _hB3 P6 NBHM
999			_c1431373 _d1431373