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OverviewTriangular arrays are a unifying thread throughout various areas of discrete mathematics such as number theory and combinatorics. They can be used to sharpen a variety of mathematical skills and tools, such as pattern recognition, conjecturing, proof-techniques, and problem-solving techniques.While a good deal of research exists concerning triangular arrays and their applications, the information is scattered in various journals and is inaccessible to many mathematicians. This is the first text that will collect and organize the information and present it in a clear and comprehensive introduction to the topic. An invaluable resource book, it gives a historical introduction to Pascal's triangle and covers application topics such as binomial coefficients, figurate numbers, Fibonacci and Lucas numbers, Pell and Pell-Lucas numbers, graph theory, Fibonomial and tribinomial coefficients and Fibonacci and Lucas polynomials, amongst others. The book also features the historical development of triangular arrays, including short biographies of prominent mathematicians, along with the name and affiliation of every discoverer and year of discovery. The book is intended for mathematicians as well as computer scientists, math and science teachers, advanced high school students, and those with mathematical curiosity and maturity. Full Product DetailsAuthor: Thomas Koshy (Professor of Mathematics, Professor of Mathematics, Framingham State College)Publisher: Oxford University Press Inc Imprint: Oxford University Press Inc Dimensions: Width: 16.30cm , Height: 2.50cm , Length: 23.60cm Weight: 0.748kg ISBN: 9780199742943ISBN 10: 0199742944 Pages: 438 Publication Date: 10 March 2011 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsContents: Preface 1. Fundamentals 2. Binomial Coefficients 3. The Binomial Theorem 4. Binomial Congruences 5. Binomial Coefficients Revisited 6. Pascal's Triangle 7. Pascal's Triangle Revisited 8. Pascal's m-ary Triangles 9. Pascal Graphs 10. Maclaurin's Series 11. Fibonacci and Lucas Numbers 12. Pascal's Triangle and Generating Functions 13. Pascal-like Triangles 14. Fibonacci Triangles 15. Josef 's Triangle 16. Lucas Triangles 17. Catalan Numbers and Pascal's Triangle 18. Catalan's Parenthesization Problem Revisited 19. Leibniz's Harmonic Triangle 20. Stirling's Triangles 21. Bell's Triangles 22. Euler's Triangles 23. Lah's Triangle 24. Fibonacci Convolution Triangles 25. Tartaglia's Arrays 26. Miscellaneous Arrays 27. Tribinomial Triangles 28. Fibonomial Triangles 29. Multinomial ArraysReviewsAuthor InformationThomas 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. He published Catalan Numbers with OUP USA in 2008. Tab Content 6Author Website:Countries AvailableAll regions |
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