Maximum and Minimum

Abstract

This chapter starts with very simple exercises concering the greatest and the least possible values of a certain quantity. The chapter ends, however, with complicated research questions. Maxima and minima problems can usually be reduced to the examination of some function which is given analytically, but here we have a collection of problems in which geometric considerations prove to be more effective. We will see how, in the solution of similar problems, different sets of points are used.