devotion & mathematics

  Axioms of real numbers :                         The structure of real analysis rests on the real number system. It is a development of the set of real numbers starting from the set of natural numbers.                    We consider real numbers as undefined elements satisfying                                         I.    Field axioms                                        II.  Order axioms                                        III. Completeness axioms Field axioms :       ...

  BASIC DEFINITIONS :                                      In this session , I am going to give definitions and few examples of   * set  * upper bound of a set  * lower bound of a set  * greatest lower bound or infimum of a set  * least upper bound or supremum of a set  * bounded above, bounded below and  bounded sets.  * Diameter of a set.  * Distance between a point and a set   SET :         A set is a collection of numbers or elements or objects etc.       For example :               * the collection of numbers which contain 1,2,3,... is called the set of natural numbers.              * The  collection of all people aged between 25-30 is called a set.              * The colle...