000			01388cam a22002174a 4500
003			OSt
005			20220325112149.0
008			050307s2005 riua 001 0 eng
020			_a0821836706
040			_ctshering
082	0	0	_a515 MOR
100	1		_aMorgan, Frank.
245	1	0	_aReal analysis / _cFrank Morgan, (Professor of Mathematics Williams College)
260			_aRhode Island : _bAmerican Mathematical Society, _c2005.
300			_aviii, 151 p. : _bill. ; _c26 cm.
504			_aInclude index.
520			_a "Real Analysis builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in R[superscript n]. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as "closed and bounded," via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascoli's Theorem." "The text not only provides efficient proofs, but also shows the student how to come up with them. The exercises come with select solutions in the back. Here is a real analysis text that is short enough for the student to read and understand and complete enough to be the primary text for a serious undergraduate course
650		0	_aMathematical analysis.
650		0	_a Reelle Analysis
942			_2ddc _cBK
999			_c5964 _d5964