Fundamental Mathematics/Arithmetic

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Arithmetic Number[edit]

Natural number The numbers which are generally used in our day to day life for counting are
termed as natural numbers. They are also referred to as "counting" numbers
,
Even number Number divides by 2 without remainder . Even number is denotes as 2N
Odd number Number divides by 2 with remainder Odd number is denotes as 2N+1
Prime number Number divides by 1 and itself without remainder . Prime number is denoted as P
Integer Signed numbers
Fraction
Complex Number number made up of real and imaginary number
Imaginary Number

Arithmetic Operations[edit]

Mathematical Operations on arithmetic numbers

Mathematical Operation Symbol Example
Addition
Subtraction
Multiplication
Division
Exponentiation
Root
Logarithm
Ln

Arithmetic Expression[edit]

Example[edit]

Operation Arithmetic Expression[edit]

Order of performing mathematical operation on expression follows

  1. Parenthesis . {}, [] , ()
  2. Power .
  3. Plus, Minus,Multiply,Divide . +, -, x , /

Example

Coordination[edit]

Cartesian Coordinate[edit]

Cartesian-coordinate-system.svg

Polar Coordinate[edit]

Examples of Polar Coordinates.svg


Real Number Coordination[edit]

A point in XY co ordinate can be presented as () and () in R θ co ordinate

A , () , ()
Scalar maths Vector Maths






Complex Number Coordination[edit]

A point in XY co ordinate can be presented as (X,Y) and (Z,θ) in Z θ co ordinate























Arithematic Function[edit]

Function is an arithmetical expression relate 2 variables . Function is denoted as

meaning for any value of x there is a corresponding value y=f(x)

Where

x - indepent variable
x - depent variable
f(x) - function of x

Graph of function[edit]

x -2 -1 0 1 2
f(x) -2 -1 0 1 2
Straight line passing through origin point (0,0) with slope equals 1

x -2 -1 0 1 2
f(x) -4 -2 0 2 4
Straight line passing through origin point (0,0) with slope equals 2


x -2 -1 0 1 2
f(x) -1 1 3 5 7


Straight line with slope equals 2 has x intercept (-3/2,0) and y intercept (0,3)

Types of Functions[edit]

Mathematical operations on function[edit]

Arithmetic Equation[edit]

Arithmetic Equation is a expression of a function of variable that has value equal to zero

Equation can be solve to find value of variable that satisfy equation . The process finding value of variable is called Root finding . All value of variable that would make its function equal to zero is called Root of the equation

Example[edit]

Equation .
Root .
is the root of the equation since substitution the value of x in the equation we have

Types of equations[edit]


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