Title page for ETD etd-07082004-091436


Type of Document Master's Thesis
Author Faradj, Mabrouck K.
Author's Email Address Mfarad1@lsu.edu
URN etd-07082004-091436
Title Which Mean do you Mean? An Exposition on Means
Degree Master of Science (M.S.)
Department Mathematics
Advisory Committee
Advisor Name Title
James Madden Committee Chair
David Kirshner Committee Member
Stephen Shipman Committee Member
Keywords
  • exposition on means
Date of Defense 2004-07-06
Availability unrestricted
Abstract
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.
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