Sets Georg Cantor 1845 1918 born in Russia
![Sets Georg Cantor [1845 -1918 ] , born in Russia. He is a German](https://slidetodoc.com/presentation_image_h/237c1542f4665a039772ba3841527a4c/image-1.jpg "Sets Georg Cantor [1845 -1918 ] , born in Russia. He is a German")
Sets Georg Cantor [1845 -1918 ] , born in Russia. He is a German Mathematician. He put forth theory of ‘Sets’.
Information about ‘Sets’ �Sets: -The collection of well-defined objects is called set. �The individual object of the set is known as member or element of the set. �We denote the set by capital letters A, B, C, …Z. �Elements of set are denoted by a, b, c, d, …, z. �‘a’ is an element of set A. written as ‘a∈A’. �‘a’ is not a element of set A. written as ‘a ∉ A’. �Examples: �set of natural nos. , set of whole nos. , set of integers. , set of rational nos. , set of irrational nos. .
![Methods of writing a set �There are two methods of writing a set. 1]](http://slidetodoc.com/presentation_image_h/237c1542f4665a039772ba3841527a4c/image-3.jpg "Methods of writing a set �There are two methods of writing a set. 1]")
Methods of writing a set �There are two methods of writing a set. 1] Listing method [Roster form]: ❶ All the elements written in curly bracket { }. ❷ Elements are separated by commas. ❸ One element written only once. ❹ The order of element is immaterial. Example: A={ a , e , i , o , u }.
![Methods of writing a set 2] Rule method [ Set builder form ]: In](http://slidetodoc.com/presentation_image_h/237c1542f4665a039772ba3841527a4c/image-4.jpg "Methods of writing a set 2] Rule method [ Set builder form ]: In")
Methods of writing a set 2] Rule method [ Set builder form ]: In this method , we describe the elements of the set by specifying the property which determines the elements of the set uniquely. Example: The set of prime nos. from 1 to 25. A={ 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 }. This set can be written in set builder form as… A={ x | x is a prime no. less than 25 }.
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