000			02478nam a22003858a 4500
001			CR9781139028592
003			UkCbUP
005			20171023125056.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110221s2013||||enk s ||1 0|eng|d
020			_a9781139028592 (ebook)
020			_z9781107014510 (hardback)
040			_aUkCbUP _cUkCbUP _erda
050	0	0	_aQA9.7 _b.E34 2013
082	0	0	_an/a _2n/a
245	0	0	_aEffective Mathematics of the Uncountable / _cEdited by Noam Greenberg, Denis Hirschfeldt, Joel David Hamkins, Russell Miller.
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (204 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aLecture Notes in Logic ; _vno. 41
500			_aTitle from publisher's bibliographic system (viewed on 09 Oct 2015).
520			_aClassical computable model theory is most naturally concerned with countable domains. There are, however, several methods – some old, some new – that have extended its basic concepts to uncountable structures. Unlike in the classical case, however, no single dominant approach has emerged, and different methods reveal different aspects of the computable content of uncountable mathematics. This book contains introductions to eight major approaches to computable uncountable mathematics: descriptive set theory; infinite time Turing machines; Blum-Shub-Smale computability; Sigma-definability; computability theory on admissible ordinals; E-recursion theory; local computability; and uncountable reverse mathematics. This book provides an authoritative and multifaceted introduction to this exciting new area of research that is still in its early stages. It is ideal as both an introductory text for graduate and advanced undergraduate students and a source of interesting new approaches for researchers in computability theory and related areas.
650		0	_aModel theory
650		0	_aComputable functions
700	1		_aGreenberg, Noam, _eeditor of compilation.
700	1		_aHirschfeldt, Denis, _eeditor of compilation.
700	1		_aHamkins, Joel David, _eeditor of compilation.
700	1		_aMiller, Russell, _eeditor of compilation.
776	0	8	_iPrint version: _z9781107014510
830		0	_aLecture Notes in Logic ; _vno. 41.
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9781139028592
999			_c230190 _d230190