Introduction to Set Theory

  • Introduction to Set Theory

    Set theory which was developed by Gorge Cantor (1845-1918) between1874-1895, is a basic mathematical tool that is used by various branches of Mathematics, such as Group Theory, Topology, Probability Theory, Calculus, Geometry etc. Cantor was born in Russia in 1845, but moved to Germany in 1856. In 1863 he entered the University of Berlin, where […]

  • 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 anything: number, people, place, letters etc.) These objects are called the elements or members of the sets. Notation: Set is usually denoted by capital letters […]

  • Empty Set or Null Set

    In set theory the concept of empty set or null set is very important and interesting, it defined as the “a set which contains no elements is called as empty set or null set”, it is sometimes known as void set or vacuous set. It is usually denoted by this Greek symbol is known as […]

  • Concept of Subset

    The concept of subset is defined as, a set is said to be the subset of a set if every element of set is also an element of set , this relationship is usually denoted by and mathematically this relationship is written as, if implies .  The concept of subset is also written in the […]

  • Equality of Sets

    Equality of sets is defined as set is said to be equal to set if both sets have the same elements or members of the sets, i.e. if each element of set is also belongs to each element of set as well as each element of set is also belongs to each element of set […]