Introduction to Finite Mathematics

Abstract

l~vmws 499 that have been well known for many decades and leads gradually to more complex theorems that have only been pubIished in the last few years. The author, by the way, is responsible for several of the more recent developments in this field. The emphasis throughout is on the proof of theorems, not on computational procedures.There are only three references to economie application. In the introductory lectures, a simple example of duopoly is presented to illustrate "plural" games-games in which there is opportunity for the players to cooperate to their mutual benefit. Plural games ate not further developed, but reference is made to publications and continuing work in this area. Linear programming is illustrated by simple examples of the transportation and feed-mix problems. In interpreting the somewhat artificial dual of the transportation problem, the author invokes "... the principle that something cannot be gained from nothing..." in order that the difference in prices between warehouse and market be no greater than the cost of transfer. Economists undoubtedly would have drawn a parallel between this requirement and the characteristies of a perfectly competitive market in space.