Group Theory
10.1 Introduction
In this chapter, we will provide neither proofs nor detailed applications of group theory for either mathematics or scientific subjects. It will suffice to acquaint you with some of the motivation, terminology, and possible uses of this highly developed and widely applied branch of mathematics. Group theory deals with collections of entities which can be transformed among themselves by some appropriate operation. For example, the integers constitute a group (containing an infinite number of members) which can be transformed into one another by the operation of addition (which includes subtraction). Likewise, under the operation of multiplication, the four complex numbers can be recycled among themselves. ...
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