Mathematics (math)

e^pi*i + 1 = 0

The study of questions that have definite answers. Deals with number and other abstract structures using pure logic. Mathematicians ask questions and build tools to answer them.


Arithmetic

Addition & Subtraction

Moving up and down the number line.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...

Equation - notes something is the same. Ex. 3 = 3. An algebraic equation tries to find an unknown from its relation to another number. Ex. 3 + 4 = x.

Addition - combination of two numbers to become one - a sum. Noted with symbol '+' (plus) between the two numbers being added. Ex. 3 + 4 = 7:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
^                                  
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
         ^                         
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
                     ^             

Subtraction - makes one number smaller by another number - a difference. Noted with '-' (minus). Ex. 9 - 2 = 7:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
^                                  
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
                           ^       
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
                     ^             

Multiplication & Division

Multiplication - adding the same number a certain amount of times into a product. Noted with '*' (read as 'times'). Ex. 3*4 = 12:

3 + 3 + 3 + 3
      or      
  4 + 4 + 4  

Division - breaks up large number into equal portions (quotient). Noted with '/'. Ex. 10/2 = 5.

Exponentation

Multiplying the same number a certain amount of times . Noted with "^", or the second number being written above the right side of the first read as 'to the power of'). Ex. 5^3 = 5*5*5 = 125. Can also be noted as:

   3
  5

Exponenting something to the power of 2 is squaring, to the power of 3 is cubing. An equation that contains an unknown which is squared is quadratic ex. 16 = x ^ 2; if it is cubed, it is cubic, further quartic, quintic.


Dictionary

Factorial
A multiplication of a number with all the other numbers down the numbers scale - ex. factorial of 6- 6! - 1*2*3*4*5*6 = 720. Factorial of 0 is 1.
Formula
The result of an algebraic equation

External articles: Linear algebra