Knowledge Spaces

Authors: Doignon, Jean-Paul, Falmagne, Jean-Claude

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eBook $139.00
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  • ISBN 978-3-642-58625-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Softcover $179.00
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  • ISBN 978-3-540-64501-6
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About this book

Knowledge 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, knowledge spaces 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.

Table of contents (13 chapters)

  • Overview and Mathematical Glossary

    Doignon, Jean-Paul (et al.)

    Pages 1-17

  • Knowledge Structures and Spaces

    Doignon, Jean-Paul (et al.)

    Pages 18-43

  • Well-Graded Knowledge Structures

    Doignon, Jean-Paul (et al.)

    Pages 44-61

  • Surmise Systems

    Doignon, Jean-Paul (et al.)

    Pages 62-85

  • Skill Maps, Labels and Filters

    Doignon, Jean-Paul (et al.)

    Pages 86-103

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-58625-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $179.00
price for USA
  • ISBN 978-3-540-64501-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Knowledge Spaces
Authors
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-58625-5
DOI
10.1007/978-3-642-58625-5
Softcover ISBN
978-3-540-64501-6
Edition Number
1
Number of Pages
XVI, 334
Number of Illustrations and Tables
4 b/w illustrations
Topics