Add notes for Book of Proof study

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+title: Mathematical Proof Study Notes
+...
+
+# Texts
+
+- *Book of Proof*, Richard Hammack
+
+# Reading Notes
+
+## *Hammack*, 25 Jan 2014
+
+All of Mathematics can be described with sets.
+
+*set*
+: A collection of things. The things in the set are called *elements*.
+
+An example of a set: ${2,4,6,8}$
+
+The set of all integers:
+$$ {\dots, -4, -3, -2, -1, 0, 1, 2, 3, 4, \dots} $$
+
+The dots mean the expressed pattern continues.
+
+Sets of infinitely many members are *infinite*, otherwise they are
+*finite*.
+
+Sets are *equal* if they have exactly the same elements.
+
+E.g. ${2,4,5,8} = {4,2,8,6}$ but ${2,4,6,8} \neq {2,4,6,7}$.
+
+Uppercase letters often denote sets, e.g. $A = {1,2,3,4}$.
+
+To express membership, we use $\in$, as in $2 \in A$.