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Triangular Arrays with Applications (Hardcover)
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Triangular Arrays with Applications (Hardcover)
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Triangular 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.
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