Home
Algebra
Math Formulas
Everyday Math
Calculus
FREE e-Books
Geometry
Basic Statistics
Exclusive Topics
Basic Mathematics
Basic Algebra
Algebra
Everyday Math
Geometry
Trigonometry
Calculus
Business Math
Basic Statistics
Linear Programming
 
Other Math Links
Math Results And Formulas
Free Math E Books
 
Higher Mathematics
Real Analysis
Group Theory
General Topology
 
Computational Math
Discrete Mathematics
Theory Of Automata
 
» Home » Algebra »

Definition and Representation of Set

Definition of Set:
            Set is a well defined collection of distinct objects (i.e. The nature of the object is the same or in other words object in a set may be any thing: number, people, place, letters etc.)
These objects are called the elements or members of the sets.

Notation:
            Set is usually denoted by capital letters  etc, and its elements are denoted by small letters etc.
            If “” is any set and “” is the element of set. Then we write  Read as “ belongs to ”.      If “” is any set and “” is not the element of set. Then we write  Read as “ belongs to ”

Representation of Sets:
            There are three ways to represents a set
(I) Tabular Form:
            Listing all the elements of a set, separated by commas and enclosed within curly brackets {}. e.g.
           
           
           
(II) Descriptive Form:
            State in words the elements of a set.
e.g.
            Set of the first five natural numbers.
            Set of positive even integers les or equal to fifty.
            Set of positive odd numbers.

(III) Set Builder Form:
            Writing in symbolic form the common characteristic shared by all the elements of the sets. e.g.
           
           
           

 
Copyright ©2008 emathzone All Rights Reserved