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Knowledge Spaces

  • Jean-Paul Doignon
  • Jean-Claude Falmagne

Table of contents

  1. Front Matter
    Pages i-xv
  2. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 1-17
  3. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 18-43
  4. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 44-61
  5. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 62-85
  6. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 86-103
  7. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 104-119
  8. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 120-141
  9. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 142-174
  10. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 175-205
  11. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 206-218
  12. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 219-246
  13. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 247-273
  14. Jean-Paul Doignon, Jean-Claude Falmagne
    Pages 274-309
  15. Back Matter
    Pages 310-333

About this book

Introduction

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.

Keywords

Graph Sim Text algorithms classification knowledge learning organization simulation theory of knowledge

Authors and affiliations

  • Jean-Paul Doignon
    • 1
  • Jean-Claude Falmagne
    • 2
  1. 1.Département de MathématiquesUniversité Libre de BruxellesBruxellesBelgium
  2. 2.Department of Cognitive ScienceUniversity of CaliforniaIrvineUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-58625-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-64501-6
  • Online ISBN 978-3-642-58625-5
  • Buy this book on publisher's site
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