| 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 |
|
| 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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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Faradj_thesis.pdf |
280.00 Kb |
00:01:17 |
00:00:39 |
00:00:34 |
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