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. In addition to lucid descriptions of the mathematics and history behind Catalan numbers, Koshy includes short biographies of the prominent mathematicians who have worked with the numbers.
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. In addition to lucid descriptions of the mathematics and history behind Catalan numbers, Koshy includes short biographies of the prominent mathematicians who have worked with the numbers.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Thomas Koshy, Ph.D., is Professor of Mathematics at Framingham State College, Framingham, Massachusetts. His Fibonacci and Lucas Numbers with Applications, published by Wiley, won the Association of American Publishers' new book award in 2001.
Inhaltsangabe
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
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
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