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.
