Although many people get headaches from mathematics and mathematical equations, precisely thanks to them we enjoy numerous inventions and achievements they brought. Equations are often used to point out equality of two expressions that contain one or more variables.

Many smart people of this world, using their skills, NUMBERS and functions managed to create most useful mathematical equations that are still used today.

## 10THE BLACK – SCHOLES MODEL

Function: Calculates the price of financial derivatives.

Importance: Helped create the trillion dollar derivatives market but incorrect use contributed to the current financial crisis.

Importance: Helped create the trillion dollar derivatives market but incorrect use contributed to the current financial crisis.

## 09THE PYTHAGOREAN THEOREM

Function: Working out the lengths of the various sides of a triangle.

Importance: Foundation of modern trigonometry – used in surveying, mapping and navigation.

Importance: Foundation of modern trigonometry – used in surveying, mapping and navigation.

## 08THE FOURIER TRANSFORM

Function: Describes patterns in time as a function of frequency.

Importance: Used in JPEG compression, signal analysis and discovering the structure of molecules.

Importance: Used in JPEG compression, signal analysis and discovering the structure of molecules.

## 07FUNDAMENTAL THEOREM OF CALCULUS

Function: Working out instantaneous rates of change.

Importance: Measurement of solids, curves and areas – used in medicine, economics and computer science.

Importance: Measurement of solids, curves and areas – used in medicine, economics and computer science.

## 06EULER´S FORMULA FOR POLYHEDRA

Function: Calculating the space of shapes.

Importance: Led to the development of topography – used in 3D mapping and by biologists to understand DNA.

Importance: Led to the development of topography – used in 3D mapping and by biologists to understand DNA.

## 05UNIVERSAL LOW OF GRAVITATION

Function: Calculates the force of gravity between two objects.

Importance: Critical to astronomy – helped discover Pluto, used in space exploration and putting satellites in orbit.

Importance: Critical to astronomy – helped discover Pluto, used in space exploration and putting satellites in orbit.

## 04MAXWELL´S EQUATIONS

Function: Explain relationships between electric and magnetic fields.

Importance: Prediction and understanding of electromagnetic waves – used in radar, TV and modern communications.

Importance: Prediction and understanding of electromagnetic waves – used in radar, TV and modern communications.

## 03SECON LOW OF THERMODYNAMICS

Function: Explains entropy – the dissipation of energy and heat over time.

Importance: Proved perpetual motion is impossible and helped prove matter is made from atoms.

Importance: Proved perpetual motion is impossible and helped prove matter is made from atoms.

## 02THE SCHRODINGER EQUATION

Function: Models matter as a wave rather than a particle.

Importance: Revolutionized small-scale physics crucial in developing modern computers via semiconductors and transistors.

Importance: Revolutionized small-scale physics crucial in developing modern computers via semiconductors and transistors.

## 01THEORY OF SPECIAL RELATIVITY

Function: Show mass and energy are interchangeable and explains behavior of objects at very high speeds.

Importance: Introduced the idea of time dilation and helped lead to nuclear weapons.

Importance: Introduced the idea of time dilation and helped lead to nuclear weapons.