Master of Science (MS)
The objective of this thesis is to give a brief exposition on the theory of means. In Greek mathematics, means are intermediate values between two extremes, while in modern mathematics, a mean is a measure of the central tendency for a set of numbers. We begin by exploring the origin of the antique means and list the classical means. Next, we present an overview of the theories of binary means and n-ary means. We include a general discussion on axiomatic systems for means and present theorems on properties that characterize the most common types of means.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Faradj, Mabrouck K., "Which mean do you mean?: an exposition on means" (2004). LSU Master's Theses. 1852.