000			02326nam a22003618i 4500
001			CR9780511623943
003			UkCbUP
005			20200124160305.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090916s1981||||enk o ||1 0|eng|d
020			_a9780511623943 (ebook)
020			_z9780521231602 (hardback)
020			_z9780521298391 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA564 _b.P66 1981
082	0	0	_a514 _219
100	1		_aPorteous, Ian R., _eauthor.
245	1	0	_aTopological geometry / _cIan R. Porteous.
264		1	_aCambridge : _bCambridge University Press, _c1981.
300			_a1 online resource (486 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			_aThe earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and differentiable maps that leads up to the definitions of smooth manifolds and their tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical flavour and its linear algebra content. In this second edition Dr Porteous has taken the opportunity to add a chapter on triality which extends earlier work on the Spin groups in the chapter on Clifford algebras. The details include a number of important transitive group actions and a description of one of the exceptional Lie groups, the group G2. A number of corrections and improvements have also been made. There are many exercises throughout the book and senior undergraduates in mathematics as well as first-year graduate students will continue to find it stimulating and rewarding.
650		0	_aGeometry, Algebraic.
650		0	_aTopology.
650		0	_aAlgebras, Linear.
650		0	_aApproximation theory.
776	0	8	_iPrint version: _z9780521231602
856	4	0	_uhttps://doi.org/10.1017/CBO9780511623943
999			_c520647 _d520645