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Catalan Numbers with Applications
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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. Read more Reviews Editorial reviews.
- Catalan numbers with applications by Thomas Koshy
Publisher Synopsis What Professor Koshy achieves is to bring together a number of important results and a great deal of extensive but hiterto disparate research. User-contributed reviews Add a review and share your thoughts with other readers. Be the first. Add a review and share your thoughts with other readers.
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Remember me on this computer. Cancel Forgot your password? Thomas Koshy. This title presents a comprehensive introduction to Catalan numbers. Similar Items.
Print version: Koshy, Thomas. Thomas Koshy Find more information about: Thomas Koshy. Binomial coefficients -- The central binomial coefficient -- The central binomial coefficient revisited -- Binomial coefficients revisited -- Catalan numbers -- The ubiquity of Catalan numbers I -- The ubiquity of Catalan numbers II -- Trees and Catalan numbers -- Lattice paths and Catalan numbers -- Partitions and Catalan numbers -- Algebra, sports, and Catalan numbers -- Pascal's triangle and Catalan numbers -- Divisibility properties -- A Catalan triangle -- A family of binary word -- Tribinomial coefficients -- Generalized Catalan numbers.
The first comprehensive survey of mathematics' most fascinating number sequences Fibonacci and Lucas numbers have intrigued amateur and professional mathematicians for centuries.
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This volume represents the first attempt to compile a definitive history and authoritative analysis of these famous integer sequences, complete with a wealth of exciting applications, enlightening examples, and fun exercises that offer numerous opportunities for exploration and experimentation. The author has assembled a myriad of fascinating properties of both Fibonacci and Lucas numbers-as developed by a wide range of sources-and catalogued their applications in a multitude of widely varied disciplines such as art, stock market investing, engineering, and neurophysiology.
Most of the engaging and delightful material here is easily accessible to college and even high school students, though advanced material is included to challenge more sophisticated Fibonacci enthusiasts.
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