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Catalan Numbers with Applications

Author: Thomas Koshy
Publisher: New YorK: Oxford University Press, 2009.
Edition/Format:   Print book : Biography : EnglishView all editions and formats
Summary:

This book presents a clear and comprehensive introduction to one of the truly fascinating topics in mathematics: Catalan numbers. They crop up in chess, computer programming and even train tracks.  Read more...

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Material Type: Biography
Document Type: Book
All Authors / Contributors: Thomas Koshy
ISBN: 9780195334548 019533454X
OCLC Number: 773020986
Description: XIV, 422 p. ; 22 cm.
Contents: 1. Bionomial Coefficients ; 2. The Central Binomial Coefficient ; 3. The Central Binomial Coefficient Revisited ; 4. Binomial Coeffiecients Revisited ; 5. Catalan Numbers ; 6. The Ubiquity of Catalan Numbers I ; 7. The Ubiquity of Catalan Numbers II ; 8. Trees and Catalan Numbers ; 9. Lattice Paths and Catalan Numbers ; 10. Partitions and Catalan Numbers ; 11. Algebra, Sports, and Catalan Numbers ; 12. Catalan Numbers and Pascal's Triangle ; 13. Divisibilty Properties ; 14. A Catalan Triangle ; 15. A Family of Binary Words ; 16. Tribinomial Coefficients ; 17. Generalized Catalan Numbers
Responsibility: Thomas Koshy.

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What Professor Koshy achieves is to bring together a number of important results and a great deal of extensive but hiterto disparate research. * Francis McGonigal, Mathematics Today *

 
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