August 2008
Beginner to intermediate
568 pages
12h 1m
English
Content preview from Discrete Mathematics and Combinatorics
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Chapter 2
Sets, Functions and Relations
Learning Objectives
On completing this chapter, you should able to:
work with the concepts of a set, its elements and subsets
define the sets of natural numbers, integers, rational numbers, real numbers, complex numbers and their various subsets
find unions and intersections of given sets
define the concepts of a relation and a function
solve problems on reflexive, symmetric and transitive relations
solve problems on one-to-one and onto functions
find the images of subsets of domains and inverse images of subsets of the co-domain for some simple functions
find left inverses, right inverses and the inverse of some simple functions whenever they exist
prove basic results on one-one and onto functions ...
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