| Summary: |
Whether we realise it or not we come across sets, in one form or another, on an almost daily basis. It may be the modules you are studying on your course, or the groceries that you bought in the supermarket last night, or even the teams that qualified for the last 16 of the Champions League in season 2016/17! These are all examples of sets. This unit presents an introduction to sets starting with some basic definitions and an overview of the different ways in which sets are represented. The concept of a subset is introduced and conditions for the equality of sets are given. Operations on sets such as union, intersection and complement are described with the aid of Venn diagrams. We then discuss further set operations including partitions and Cartesian products before briefly considering computer representation of sets. The unit closes with a look at the union and intersection of intervals of the real number line when these intervals are represented as sets. |
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