It is a privileged for me to stand before this audience to deliver an inaugural lecture. This is the first in the Department of Basic Sciences (Mathematics Unit), the fifth in the School of Science and Technology and the 27th in the University.s
For the purpose of clear understanding of this work, the following definitions of mathematical language and/or symbols used are given.
stands for belongs to,or member of, or is in or in
stands for such that.
stands for such that
stands for there exists
? stands for the set of real numbers
? stands for the set of counting or natural number
? stands for the set of integers
? stands for the set of rational numbers
?? Stands for the set of irrational numbers
Stands for does not belong to, or is not a member of , or is not in,
stands for, for all.
I must confess that I had a lot of difficulty in choosing the topic, considering the audience. I first thought of gathering results in my Ph. D. research of (2002), titled, multipliers in Optimization, where, by definition, an multiplier is a mapping,
: GXG such that
) = (e, x) = 1, where e ? G, is the identity element in G. (2).
Where G, in this case, is a locally compact topological group.
I dropped this idea, and I again, thought of Fermat’s Last Theorem, which states that there does not exist any n > 2, n ?