000			02786nam a22003618i 4500
001			CR9780511551697
003			UkCbUP
005			20200124160323.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090512s1997||||enk o ||1 0|eng|d
020			_a9780511551697 (ebook)
020			_z9780521592789 (hardback)
020			_z9780521068871 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA331.7 _b.S63 1997
082	0	0	_a515/.9/092 _221
100	1		_aSmithies, F. _q(Frank), _d1912- _eauthor.
245	1	0	_aCauchy and the creation of complex function theory / _cFrank Smithies.
246	3		_aCauchy & the Creation of Complex Function Theory
264		1	_aCambridge : _bCambridge University Press, _c1997.
300			_a1 online resource (216 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).
505	0	0	_g1. _tBackground to Cauchy's work on complex function theory -- _g2. _tCauchy's 1814 memoir on definite integrals -- _g3. _tMiscellaneous contributions (1815-1825) -- _g4. _t1825 memoir and associated articles -- _g5. _tCalculus of residues -- _g6. _tLagrange series and the Turin memoirs -- _g7. _tSummary and conclusions.
520			_aBetween 1814 and 1831, the great French mathematician A. L. Cauchy created practically single-handedly a new branch of pure mathematics. Complex function theory was and remains of central importance, and its creation marked the start of one of the most exciting periods in the development of mathematics. In this book Dr Smithies analyses the process whereby Cauchy created the basic structure of complex analysis, describing first the eighteenth-century background before proceeding to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem and his work on expansions in power series. Smithies describes how Cauchy overcame difficulties including false starts and contradictions brought about by over-ambitious assumptions, as well as the improvements that came about as the subject developed in Cauchy's hands. Controversies associated with the birth of complex function theory are described in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This book makes use of the whole spectrum of available original sources; it will be recognised as the authoritative work on the creation of complex function theory.
600	1	0	_aCauchy, Augustin Louis, _cBaron, _d1789-1857.
650		0	_aFunctions of complex variables _xHistory _y19th century.
776	0	8	_iPrint version: _z9780521592789
856	4	0	_uhttps://doi.org/10.1017/CBO9780511551697
999			_c522023 _d522021