Mathematics

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Mathematics (commonly abbreviated as math) is the study of quantities (numbers), structures, space (measurements), and change. Mathematicians look for patterns and attempt to summarize their theories abut those patterns into formulas (called in Math circles "conjectures", until proven or unproven through "Mathematical Proofs", at which point they become "axioms"). When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.


Numeracy

Financial Literacy

Arithmetic

Addition

Subtraction

Multiplication

Division

[1] [2]

Modulus

Square Root

Factor

Logarithm

Algebra

Equations

Formulas

Polynomials


Linear Algebra

Vectors

Eigenvectors

Matrix arithmetic

Fractals



Calculus

Sine

Cosine

Tangent

Geometry

Shapes

Area

Square Meterage

Square Footage

Circumference

Curves

Catenary

[3]



Trigonometry

Slope

Rise

Run

Discrete Math

Combinatorial Analysis

Randomness

True Randomness is defined as the mathematical equivalency of probabilistic outcomes acting on a set of numbers, events or other objects. Many programming languages come with built-in Random number-generators, unique ID or other Random classes, however the true randomness of these classes is limited by each of the languages used.

Set Theory

Differential Equations

Graph Theory

Applied Math & Science

Logic Gates

  • AND
  • OR
  • NAND
  • NOR
  • XAND
  • XOR
  • NOT

Automata Theory

Coding Theory

Resources


Tutorials


External Links


References

  1. Divide, division, dividend, divisor: http://amathsdictionaryforkids.com/qr/d/division.html
  2. Divisibility Rules: https://byjus.com/maths/divisibility-rules/#divisibility-of-7
  3. Mathematics of the Gateway Arch: https://www.ams.org/notices/201002/rtx100200220p.pdf

See Also

Cryptography | Encryption | Statistics | Analytics