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
Natural Logarithm

Arithmetic Expression[edit]

Example[edit]

Operation Arithmetic Expression[edit]

Order of performing mathematical operation on expression follows

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

Example

Coordinate system[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]

  • Complex conjugate picture.svg























Arithematic Function[edit]

Definition[edit]

Function is an arithmetical expression which relates 2 variables . Function is denoted as

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

Where

x - independent variable
y - dependent 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]

An arithmetic equation is an expression of a function of variable that has a value equal to zero

Arithmetic equations can be solved to find the value of variable that satisfies the equation. The process of finding this value is called root finding. All values of variable that make its function equal to zero are called roots 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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