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Introduction to SetsCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! The concept of sets is important in all branches of modern mathematics. This concept is used in Physics,Chemistry, all Engineering sciences and even in Medical science nowadays. The mathematician George Cantor has major contribution in introducing and developing the concept of set.A collection of welldefined distinct objects is called a set. For example 1) Collection of all positive even integers is a set. 2 is in this set and 1 is not in this set. 2) The collection of all obese persons in any city is not a set, as there is no definite criteria for obesity. Thus, a set is to be understood as a definite collection. Example : 1) A deck of 52 playing cards. 2) The names of the days of a week. 3) A set of instruments on a geometry box. The objects of a set are called its elements or members. If N represents the set of natural numbers . 1,2,3,4,5 ,6,… So 1,2,3,… are elements of the set N. Here as 4 is a member of the set A then we write 4 ∈ A and read as 4 belongs to set A or 4 is in an element of set A. If 0 is not a member of set A then we write 0 ∉ A and read as 0 does not belong to set A. Important set in Mathematics 1) Set of natural numbers = N = { 1,2,3,4,5,…} 2) Set of whole numbers = W = { 0,1,2,3,… } 3) Set of integers = Z = {…, 3,2,1,0,1,2,3, … } 4) Set of rational numbers = Q = { 2 / 3 , 5 / 7, 10 / 3,…} . The elements of this set is in p/q form. 5) Set of real numbers = R = { all whole numbers, integers, rational and irrational numbers} 6) Set of all positive numbers = Z ^{+} Set Theory • Sets • Representation ofSet • Cardinal Number • Types of Set • Pairs of Set • Subset • ComplementSet • Union of theSet • Intersectionset • Operations onSet • De Morgan's Law • Venn Diagrams • Venndiagrams for set • Venndiagrams for different situations • Problems on Intersection of TwoSet • Problems on Intersection threeset Home Page Covid19 has affected physical interactions between people. Don't let it affect your learning.
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