ENGLISH

Learning Spaces: Interdisciplinary Applied Mathematics

By Jean-Claude Falmagne , Jean-Paul Doignon (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
978-3-642-01038-5, 978-3-642-01039-2
DOI
10.1007/978-3-642-01039-2
Language
english
Format
PDF
Filesize
5 MB (4808755 bytes)
Edition
1
Pages
417\421
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Applications of Mathematics; Artificial Intelligen

Description

Learning 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.

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