Mathematics

INTRODUCTION 
   
                Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. 
                The basis of the earliest contribution, the father of  mathematics is Pythagoras. Because Pythagoras is described as the first pure mathematician .  He is an extremely important figure in the development of mathematics. 
       And also Aryabhatta is the father of Indian Mathematics. He's major work's in  spherical trigonometry, plane trigonometry and determined the value of π correct to four decimal places. Aryabhatta also found the zero (0). 
 
  BASIC RULE OF MATHEMATICS

   BODMAS is the basic rule of mathematics 
   According to BODMAS rule, the bracket have to be solved first followed by power or roots then division, multiplication, addition and at the end subtraction. 

IMPORTANCE OF MATHEMATICS

          Mathematics provides an effective way to building mental discipline and encourage logical reasoning and mental rigor. 

          TYPE OF MATHEMATICS 

The main type of mathematics are 

1) ALGEBRA
2) GEOMETRY
3) NUMBER THEORY 
4) ARITHMETIC. 

ALGEBRA 

      Algebra is the study of variables. It is necessary to help you understand what is important in a sequence of events. Build problem - solving skills and Reasoning skills. Understand how to move factor from one side to the other side. 

Types Of Algebra :
 
      Algebra is divided into different Sub-branche such as, 
a) Elementary algebra
b) Advanced algebra
c) Abstract algebra
d) Linear algebra
e) Commutative algebra. 

Lows of algebra :

  The basic low of algebra are the Associative, commutative and distributive lows. 
   They help to explain the relationship between number operations and simplifying equation Or solving them. 
    
GEOMETRY

  The word geometry itself suggest the origine of the subject. It is generatetd from Greek words Geo (Earth) and metria(Measuring) .
  Geometry was developed in many nation in different period and for different constructed. The first Greek mathematician, Thales, had gone to egypt he's said that the determined height of a pyramid by measuring it's shadow and using properties of similar triangles. 
   The mathematician Aryabhatta, Varahamihir, Brahmagupta, Bhaskaracharya, and many other have given valuable contribution to the subject of Geometry. 

 Types Of Geometry:
 
a) Euclidean geometry
b) Analytical geometry
c) Projective geometry 
d) Differential geometry
f) Non-Euclidean geometry
g) Topology. 

NUMBER THEORY 
 
      Number theory is a branch of mathematician devoted primarily to study of the integers , their additive and multiplicative structure and their product that set them apart from other rings. 
      It is used to study the properties of positive integers. It helps to study the relationship between different type of numbers like prime numbers, rational numbers and algebraic numbers. 

Principle of number theory :
 
     When we divide a positive integers (the dividend ) by another positive integers (the divisor) , we obtain a quotient. We multiply the quotient to divisor, and subtract their product from the dividend to obtain the remainder. Such a division produce two resuts, a quotient and a remainder. 

ARITHMETIC

   Arithmetic is an elementary part of mathematics that consist of the traditional operation i.e. addition, subtraction, multiplication , division and extraction of roots. 
   Arithmetic also includes more advanced operations such as manipulating of percentage, square roots, exponential, and Logrithmic function. 
   An Indian mathematician and astronomer  BRAHMAGUPTA is know as the father of Arithmetic. 

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