Identities and Inequalities Derived from Euclid's
Algorithm with Applications in Cutting-Covering Receipts
Professor Marius Paun
Universitatea Transilvania din Brasov
Starting from the original demonstration of the Euclid's
Algorithm (Elements, Book VII,2) we deduce one using
rectangles. From this proof we deduce after some
calculus some identities and inequalities that we use in
Brief Biography of the Speaker:
Dr. Paun Maris is an Associate Professor at the
department of ALGEBRA, GEOMETRY AND DIFFERENTIAL
EQUATIONS in the Faculty of Mathematics and Informatics,
Transilvania University of Brasov, Romania. He is a Ph.D
in Applied Mathematics and his field of expertize is
Inavriant frames in Lagrange spaces. Author of more then
40 articles on this subject or connected ones published
in BDI Journals or proceedings of international
conferences. Member of The Balkan Society of Geometers
and cenzor of this scientific society.
His teachable span the fields of Algebra, Special
mathematics and Differentiable Geometry.
Deputy chair of the department he works in.