000			02041nam a22003258i 4500
001			CR9780511817106
003			UkCbUP
005			20200124160252.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101021s2004||||enk o ||1 0|eng|d
020			_a9780511817106 (ebook)
020			_z9780521837750 (hardback)
020			_z9780521546775 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA295 _b.S78 2004
082	0	0	_a512.9/7 _222
100	1		_aSteele, J. Michael, _eauthor.
245	1	4	_aThe Cauchy-Schwarz master class : _ban introduction to the art of mathematical inequalities / _cJ. Michael Steele.
264		1	_aCambridge : _bCambridge University Press, _c2004.
300			_a1 online resource (x, 306 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
650		0	_aInequalities (Mathematics)
776	0	8	_iPrint version: _z9780521837750
856	4	0	_uhttps://doi.org/10.1017/CBO9780511817106
999			_c519652 _d519650