000			03186nam a22005175i 4500
001			978-3-642-01039-2
003			DE-He213
005			20140220083741.0
007			cr nn 008mamaa
008			100917s2011 gw | s |||| 0|eng d
020			_a9783642010392 _9978-3-642-01039-2
024	7		_a10.1007/978-3-642-01039-2 _2doi
050		4	_aT57-57.97
072		7	_aPBW _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519 _223
100	1		_aFalmagne, Jean-Claude. _eauthor.
245	1	0	_aLearning Spaces _h[electronic resource] : _bInterdisciplinary Applied Mathematics / _cby Jean-Claude Falmagne, Jean-Paul Doignon.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXV, 417p. 60 illus., 30 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aOverview and Mathematical Glossary -- Knowledge Structures and Learning Spaces -- Knowledge Spaces -- Well-Graded Families -- Surmise Systems -- Skill Maps, Labels and Filters -- Entailments and the Maximal Mesh -- Galois Connections -- Descriptive and Assessment Languages -- Greedoids, Learning Spaces, and Antimatroids -- Learning Spaces and Media -- Probabilistic Knowledge Structures -- Stochastic Learning Paths -- A Continuous Markov Procedure -- A Markov Chain Procedure -- Building a Knowledge Structure -- Building a Learning Space -- Applications -- Open Problems.
520			_aLearning spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, learning spaces as well as knowledge spaces (which made the title of the first edition) generalize partially ordered sets. They are investigated both from a combinatorial and a stochastic viewpoint. The results are applied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises, and an extensive bibliography.
650		0	_aMathematics.
650		0	_aComputer science.
650		0	_aMultimedia systems.
650		0	_aArtificial intelligence.
650		0	_aEducation.
650	1	4	_aMathematics.
650	2	4	_aApplications of Mathematics.
650	2	4	_aArtificial Intelligence (incl. Robotics).
650	2	4	_aMultimedia Information Systems.
650	2	4	_aMath Applications in Computer Science.
650	2	4	_aComputers and Education.
650	2	4	_aMathematics Education.
700	1		_aDoignon, Jean-Paul. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642010385
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-01039-2
912			_aZDB-2-SMA
999			_c106690 _d106690