Learning spaces interdisciplinary applied mathematics / Jean-Claude Falmagne, Jean-Paul Doignon.

Author/creator Falmagne, Jean-Claude
Other author Doignon, Jean-Paul.
Other author Doignon, Jean-Paul.
Format Electronic
Publication InfoHeidelberg [Germany] ; New York : Springer,
Descriptionxv, 417 p. : ill. (some col.) ; 24 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2011 English International
Supplemental ContentFull text available from Springer Books
Subjects

Contents 1. Overview and basic mathematical concepts -- 2. Knowledge structures and learning spaces -- 3. Knowledge spaces -- 4. Well-graded knowledge structures -- 5. Surmise systems -- 6. Skill maps, labels, and filters -- 7. Entailments and the maximal mesh -- 8. Galois connections -- 9. Descriptive and assessment languages -- 10. Learning spaces and media -- 11. Probabilistic knowledge structures -- 12. Stochastic learning paths -- 13. Uncovering the latent state: a continuous Markov procedure -- 14. A Markov chain procedure -- 15. Building a knowledge space -- 16. Building a learning space -- 17. Analyzing the validity of an assessment -- 18. Open problems.
General note"This book is a much enlarged second edition of Knowledge spaces, by Jean-Paul Doignon and Jean-Claude Falmagne, which appeared in 1999"--Pref.
Bibliography noteIncludes bibliographical references (p. [397]-408) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2010933254
ISBN9783642010385 (hbk.)
ISBN3642010385 (hbk.)