Volume II provides an advanced approach to the extended gibonacci
family, which includes Fibonacci, Lucas, Pell, Pell-Lucas,
Jacobsthal, Jacobsthal-Lucas, Vieta, Vieta-Lucas, and Chebyshev
polynomials of both kinds. This volume offers a uniquely unified,
extensive, and historical approach that will appeal to both
students and professional mathematicians. As in Volume I, Volume II
focuses on problem-solving techniques such as pattern recognition;
conjecturing; proof-techniques, and applications. It offers a
wealth of delightful opportunities to explore and experiment, as
well as plentiful material for group discussions, seminars,
presentations, and collaboration. In addition, the material covered
in this book promotes intellectual curiosity, creativity, and
ingenuity. Volume II features: A wealth of examples, applications,
and exercises of varying degrees of difficulty and sophistication.
Numerous combinatorial and graph-theoretic proofs and techniques. A
uniquely thorough discussion of gibonacci subfamilies, and the
fascinating relationships that link them. Examples of the beauty,
power, and ubiquity of the extended gibonacci family. An
introduction to tribonacci polynomials and numbers, and their
combinatorial and graph-theoretic models. Abbreviated solutions
provided for all odd-numbered exercises. Extensive references for
further study. This volume will be a valuable resource for
upper-level undergraduates and graduate students, as well as for
independent study projects, undergraduate and graduate theses. It
is the most comprehensive work available, a welcome addition for
gibonacci enthusiasts in computer science, electrical engineering,
and physics, as well as for creative and curious amateurs.
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