Chapter 7
Further Mathematical Explorations
The text culminates by considering three different mathematical topic areas in which you can apply the problem-solving, reasoning, and proof-writing skills developed in the earlier chapters. Each section is independent of the others, and the problems are embedded within the narrative so as to promote active reading and investigation. In attempting to solve a given problem in a certain section, you will sometimes need to make use of the results from problems stated earlier in the section.
7.1 Exploring Graph Theory
Loosely speaking, a graph is a finite set of points, called vertices (singular: vertex), some of which may be joined to one another by edges. The idea is that an edge between two vertices ...
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