ITM 107 Lecture Notes - Lecture 1: Abscissa And Ordinate, Category Theory, Asymptote

• School: Ryerson University
• Department: Information Technology Management
• Course: ITM 107
• Professor: debashishroy

Document Summary

A set is a many that allows itself to be thought of as a one. This chapter introduces set theory, mathematical in- duction, and formalizes the notion of mathematical functions. For those of you new to abstract mathematics elementary does not mean simple (though much of the material is fairly simple). Rather, elementary means that the material requires very little previous education to un- derstand it. Elementary material can be quite chal- lenging and some of the material in this chapter, if not exactly rocket science, may require that you ad- just you point of view to understand it. The single most powerful technique in mathematics is to adjust your point of view until the problem you are trying to solve becomes simple. Another point at which this material may diverge from your previous experience is that it will require proof.