| 000 | 02383nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | sulb-eb0015490 | ||
| 003 | BD-SySUS | ||
| 005 | 20160405134435.0 | ||
| 008 | 110221s2013||||enk o ||1 0|eng|d | ||
| 020 | _a9781139028592 (ebook) | ||
| 020 | _z9781107014510 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA9.7 _b.E34 2013 |
| 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. |
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| 300 |
_a1 online resource (204 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 0 |
_aLecture Notes in Logic ; _v41 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 04 Apr 2016). | ||
| 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. |
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| 700 | 1 |
_aHirschfeldt, Denis, _eeditor. |
|
| 700 | 1 |
_aHamkins, Joel David, _eeditor. |
|
| 700 | 1 |
_aMiller, Russell, _eeditor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781107014510 |
| 830 | 0 |
_aLecture Notes in Logic ; _v41. |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9781139028592 |
| 942 |
_2Dewey Decimal Classification _ceBooks |
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| 999 |
_c37334 _d37334 |
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