000			02124nam a22002897a 4500
001			sulb-eb0016698
003			BD-SySUS
005			20160405140619.0
008			101027s2011||||enk o ||1 0|eng|d
020			_a9780511844195 (ebook)
020			_z9780521114707 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP _dBD-SySUS.
050	0	0	_aQA21 _b.R69 2011
082	0	0	_a510.72/2 _222
100	1		_aRoy, Ranjan, _eauthor.
245	1	0	_aSources in the Development of Mathematics : _bSeries and Products from the Fifteenth to the Twenty-first Century / _cRanjan Roy.
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (994 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 04 Apr 2016).
520			_aThe discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.
776	0	8	_iPrint version: _z9780521114707
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9780511844195
942			_2Dewey Decimal Classification _ceBooks
999			_c38136 _d38136