000			02780nam a22004218i 4500
001			CR9781139998321
003			UkCbUP
005			20200124160241.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			140325s2014||||enk o ||1 0|eng|d
020			_a9781139998321 (ebook)
020			_z9781107442887 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA174.2 _b.O33 2014
082	0	0	_a515/.39 _223
100	1		_aO'Farrell, A. G. _q(Anthony G.), _eauthor.
245	1	0	_aReversibility in dynamics and group theory / _cAnthony G. O'Farrell (National University of Ireland, Maynooth), Ian Short (Open University).
246	3		_aReversibility in Dynamics & Group Theory
264		1	_aCambridge : _bCambridge University Press, _c2014.
300			_a1 online resource (xii, 281 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v416
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aOrigins -- Basic ideas -- Finite groups -- The classical groups -- Compact groups -- Isometry groups -- Groups of integer matrices -- Real homeomorphisms -- Circle homeomorphisms -- Formal power series -- Real diffeomorphisms -- Biholomorphic germs.
520			_aReversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other fields. This text is the first to make reversibility the focus of attention. The authors fix standard notation and terminology, establish the basic common principles, and illustrate the impact of reversibility in such diverse areas as group theory, differential and analytic geometry, number theory, complex analysis and approximation theory. As well as showing connections between different fields, the authors' viewpoint reveals many open questions, making this book ideal for graduate students and researchers. The exposition is accessible to readers at the advanced undergraduate level and above.
650		0	_aConjugacy classes.
650		0	_aGroup theory.
650		0	_aAutomorphisms.
650		0	_aDynamics.
650		0	_aReverse mathematics.
700	1		_aShort, Ian, _d1979- _eauthor.
776	0	8	_iPrint version: _z9781107442887
830		0	_aLondon Mathematical Society lecture note series ; _v416.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139998321
999			_c518580 _d518578