This slide include the introduction to sets or set theory. --why we need to study the set theory --History --Definition of sets with examples -- point to remember about sets --belongs to functions

1. SET THEORY
01

2. AGENDA
Introduction
Introduction to the course.
Why we need to study set theory
Talking about the need of set theory.
Defining the sets
Definition and explanation of set theory concept
Summary
Summary of whole concept learnt so far.
01
02
03
04

3. Introduction

4. Welcome!!
Set Theory Concept
A set is a Many that a
llows itself to be thought of
as a One.
“
”by Georg Cant
or

5. Need for sets

6. Why set Theory??
The concept and the language of set plays a very
important role in expressing mathematical ideas
concisely and precisely.
1For geometry
Set theory is an important
aspect for the points study in
geometry.
2For Sequence & Series
Made easy along with the use of
set theory.
3For Probability
Set theory is used in areas like
statistics and probability.
4For Relations & Functions
For the study of relations and
functions we must have good
understanding of set theory..

7. Georg Cant
orMathematician
defined infinite and well-or
dered set.
 Developed the notion of set theory in
mathematics.
Established the importance of one-to-one c
orrespondence between the members of t
wo sets.
History

8. Defining Sets

9. SET
Theory
A collection of object
s defined by some pr
operty
DEFINATION

10. POINTS TO REMEMBER
Some points to remember while writing representing the sets.
The objects
belonging to a
set are called its
elements or the
members.
Objects
inside set01
A set is always
represented by
a capital or
uppercase
alphabet.
Naming a
set02 The elements or
members of the
set are
represented by
a small or
lowercase
alphabet.
Naming an
objects03

11. Examples
Set of natural numbers less
than 10.
Set of prime number less
than 10.
Set of vowels in English
alphabet.
01
02
03

12. Belongs to
If e, is any element of a set A, we will say
“ e belongs to A”
and write it as ,
e ∈ A
If e, is not any element of a set A, we will say
“ e does not belongs to A”
and write it as ,
e ∉ A
01
02
∈ (epsilon) is u
sed to denote t
he phrase
“belongs to”

13. SUMMARY
Why we need to study set
theory so far.
Defined the basics of set
theory
Discussed the examples of
set theory
01
02
03

14. Thank you

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