Overview
This monograph develops a clear understanding of the structure of the exponential diophantine 3-term equations and their solutions. Various components of an exponential diophantine equation and their roles are described in detail.
A combinatorial approach is used to classify and analyze solutions to exponential diophantine 3-term equations.
To classify these solutions, all possible ways these solutions can occur are examined. The analysis presented reveals that these solutions can be classified into three classes and six sub-classes. Properties of each class of solutions are described in detail.
We observe that each exponential diophantine 3-term equation imposes its own requirements on its solutions. We discuss how these requirements of an exponential diophantine equation can affect solutions in each class.
We apply the classification developed here to relate to the results for the Pythagorean equation, the Catalan equation,
and the Ramanujan-Nagell equation.
Finally, we employ the concepts developed in this monograph and present twelve proofs and four conjectures that
help us analyze and understand the Fermat's Last Theorem and the Beal's conjecture. These four conjectures are much
smaller in scope.
This book title, Understanding Anatomy of Exponential Diophantine 3-term Equations, ISBN: 9781098327965, by Rajen Merchant, published by BookBaby (September 28, 2020) is available in paperback. Our minimum order quantity is 25 copies. All standard bulk book orders ship FREE in the continental USA and delivered in 4-10 business days.
Unlike Amazon and other retailers who may also offer Understanding Anatomy of Exponential Diophantine 3-term Equations books on their website, we specialize in large quantities and provide personal service, from trusted, experienced, friendly people in Portland, Oregon. We offer a Price Match Guarantee, and QuickQuote form, to make purchasing quick and easy.
Prefer to work with a human being when you order Understanding Anatomy of Exponential Diophantine 3-term Equations books in bulk? Our Book Specialists are standing by Monday-Friday 8-5 PST, ready to help!