Bridge to Abstract Mathematics: Mathematical Proof and Structures

(Dana P.) #1

List of Symbols


Symbol Meaning
Set membership and nonmembership, p. 4
Roster description of a finite set, p. 4
Rule description of a set, p. 5
Pattern description of a finite set, p. 6
Pattern description of an infinite set, p. 6
Universal set or domain of discourse, p. 6
Positive integers, integers, rationals, reals, complex
numbers (resp.), p. 7
Various types of intervals in R, p. 8

Empty set, a single-element set, p. 9
End of solution to example or proof of theorem, p. 10
Set theoretic equality, nonequality, p. 10
Subset relation and its negation, p. 11
Proper subset relation and its negation, p. 12
Power set, i.e., set of all subsets of A, p. 13
Intersection and union of sets, p. 16
Complement of a set, p. 18
Set theoretic difference, p. 19
Symmetric difference, p. 20
Ordered pair, p. 21
Cartesian product of sets, p. 22
Number of elements in a set, p. 43
Generic set containing k elements, p. 43
n factorial, p. 46
Permutations of n objects, k at a time, p. 46
Combinations of n objects, k at a time, p. 47
Binomial coefficient, "n choose k," p. 50
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