# 17 Equations That Changed the World

One of the masters of writing mathematician Ian Stewart wrote about 17 equations that he believes have changed the world. In his book, In Pursuit of the Unknown: 17 Equations That Changed the World, he discusses each equation in an engaging and practical manner, and he gives a number of illustrations of how those equations have and are impacting our lives.

# Pythagorean Theorem

Pythagorean theorem helped us create better maps. We use this theorem to find the shortest distance. Pythagorean Theorem a useful technique for architecture, woodworking, or other physical construction projects.

# •Logarithms

Logarithms helped us perform tedious calculations before there were calculators. They are especially evident in science and measurement. When we talk about tiny and gigantic things, we always use logarithms such as; our sensitivity to light, earthquake magnitudes, noise levels in decibels, acidity (pH) money growing with a fixed interest rate, bacteria growing in a petri dish, radioactive decay.

# •Calculus

Helped is turn away from mysticism and alchemy to rational science. Calculus appears everywhere in modern science and technology whether we are modelling the rise in the fall of the stock market or determining exactly when a space rocket will arrive into Earth’s orbit. And basically created the modern world. Calculus holds incredible power over the physical worlds by modelling and controlling systems. It’s the language of medical experts, scientists, engineers, statisticians, physicists, and economists. If a quantity or a system is changing we can use mathematical modelling of calculus to analyze a system fund an optimal solution and predict the future.

# •Newton’s Law of Gravity

Helped us understand the movement of the stars and planets. It’s actually a key to understand the divine force, momentum and many other laws.

# •Complex Numbers

The square root of minus 1 was invented by people in order to solve equations. Most of our modern tech depends on them. i² was a great discovery and had a lot to do with the development of quantum mechanics. Many people hated this. It brought up ideas that turned out to be very important.

# •Euler’s Formula for Polyhedra

Helps us send rockets throughout space and understand DNA replication. Euler’s formula is an essential ingredient in finding solutions for network information. Euler’s invention is a new way of thinking about shapes and space. It also provides a clear connection between geometry and the knot structure of a DNA.

# •Normal Distribution

Transformed how we understand medical trials and how we gamble. It also changed almost all psychological and educational applications of our modern world. Statisticians and scientists use the normal distribution to measure reading ability, job satisfaction, surveys, IQ scores, blood pressure, measurement errors, etc…

# •Wave Equation

It tells us what the earth is made of and helps us find oil easier. It plays an essential role in electromagnetism, optics, fluid dynamics and heat transfer. It helps us predict the future dynamic properties such as energy and impulse.

# •Fourier Transform

You are seeing this post thanks to these algorithms because the internet, WiFi, smartphones, computers, routers, almost everything that has a computer inside uses Fourier transform algorithms. Fourier transforms are important in signal processing. We can now compress thousands of information into a tiny dongle.

# •Navier-Stokes Equation

The Navier-Stokes equations are significant in terms of pure science and mathematics. The equation represents the governing equations of one model of fluid flow. The equation also tells us all the fast things in life can go even faster.

# •Maxwell’s Equations

All modern wireless communications as we know it today because Maxwell’s equations are the mathematical summary of electromagnetism. The equations show the relationship between electromagnetism.

# •Second Law of Thermodynamics

It literally drove the industrial revolution and gives us efficient power generators. It also represents the relationships between heat and energy. For instance, it explains what happens our cup of tea if we don’t drink it for 5 minutes.

# •Relativity

The relativity theorem is very important because it answered previously almost all the questions that remained unanswered. It changed the way we look time, space and gravity. It is everything for black holes, the big bang, nuclear power but also GPS on our phones.

# •Schrodinger’s Equation

This theorem changed the field of quantum physics. It made possible to work on quantum and calculate what would happen next. It is also essential for modern computer chips and lasers and cats.

# •Information Theory

Information theory means the entire internet. It literally models the human-machine communication process. This theory is now more important than communication itself.

# •Chaos Theory

Predicting the weather better. It’s the butterfly’s fault for flapping its wings. The equation also predicts the growth rate of the butterfly population.

# •Black-Scholes Equation

The massive growth and profits of the financial sector in the 2000s and the financial crisis of 2008–2009.