Thomas Koshy

Triangular Arrays with Applications

• Gebundenes Buch

Produktbeschreibung

This is the first text to collect and organize the current research on triangular arrays and their applications. 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.

Produktdetails

• Verlag: Oxford University Press, USA
• Seitenzahl: 438
• Erscheinungstermin: 25. Februar 2011
• Englisch
• Abmessung: 236mm x 163mm x 25mm
• Gewicht: 748g
• ISBN-13: 9780199742943
• ISBN-10: 0199742944
• Artikelnr.: 31305765

Autorenporträt

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. He published Catalan Numbers with OUP USA in 2008.

Inhaltsangabe

Contents
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 Arrays