SET THEORY
The set theory of sets lies at the foundation of mathematics. Concepts in set theory such as functions and relations appear explicitly or implicitly in every branch of mathematics. The fundamental concept of all branches of mathematics is that a set.
George Boole was born on November 2,1815. His father was a shopkeeper. He pointed out that there was a close relationship between symbols that represents logical instructions and algebraic symbols.Boole would be pleased to know that his Boolean algebra is the basis of all computer arithmetic.At the age of 24 George Boole published his first paper "Researches on the Theory of Analytical transformation" in the Cambridge mathematical journal.
The theory of sets as a mathematical discipline originated with the German mathematician George Cantor.George Cantor was born on March 3 , 1845.
Augustus De morgan was born in Madurai, Tamlinadu. His family move to England when he was seven months old. De morgan's laws the three basic set operations Union, Intersection and complement.
- Introduction to set
- Representation of sets
- Descriptive form of set
- Set builder form
- Roster form
- Types of sets
- Union of two set
- Intersection of sets
- Symmetric difference of two sets
- Complement of a set
- Difference of two sets
- Cardinal number of set
- Cardinal number of power set
- Subset of null set
- Proper subset of a set
- Cartesian product of two sets
- Number of proper subsets of a set
- Set operations
- Representation of set operations using venn diagram
- Venn diagram A U B
- Venn diagram A n B
- Venn diagram of A'
- Venn diagram of B'
- Venn diagram of (AUB)'
- Venn diagram of (AnB)'
- Venn diagram of A\B
- Venn diagram of B\A
- Symbols used in set theory
- Formulas used in set operations
- Properties of set operations
- Commutative property of set
- Associative property of set
- Distributive property of set
- De morgans's law for set difference
- De morgan's law for compliments
- Venn diagram word problem with 3 circles
- Formula for (A U B U C)
- How do you figure out if a relation is a function
- How do you figure out if a relation is a function
- Representation of functions
- Vertical line test
- Types of functions
- How to find inverse of a function
- How to find inverse of a function using composition
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