Math is all about loving numbers and understanding how life revolves around it. Some of us still revel in the math fun games that we participated in. To hunker down a subjective list of the greatest mathematical discoveries of all time may be difficult, but here are a list of 5 greatest mathematical inventions in history:

1. The Euler’s identity is a stunning formula that is both useful and deceiving in its essence. The Euler’s number is the base of the natural algorithm and is equal to 2.718. Euler is often regarded as the father of mathematics and the greatest physicist of all time **Richerd Feynman** regarded the identity as a remarkable formula ever. Euler’s equation helps answer the most difficult of questions in arithmetic.

Richard Phillips Feynman, was an American theoretical physicist known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics.

**2.** The fast Fourier Transforms are the pillars of the modern computing age. The discrete Fourier Transform was first introduced by **Fourier** in the early part of the 19^{th} Century and can break the signals of sound waves and wireless notifications into composite frequencies. There are many applications of the fast and discrete Fourier transform. It remains the single biggest algorithm ever discovered in mathematics.

Jean-Baptiste Joseph Fourier was a French mathematician and physicist born in Auxerre and best known for initiating the investigation of Fourier series and their applications to problems of heat transfer and vibrations.

**3. Godel’s theorems** are the next big axiomatic system, which is an imperfect analogy found in the liar paradox. In this paradox, if you begin with a machine, you can feed it any statement and output possible with an unfailing accuracy. The results of **Godel’s** theorems are in use even today and the computational systems still use this systematically to discover newer theorems.

Known for Godel’s incompleteness theorems, Godel’s completeness theorem, the consistency of the Continuum hypothesis with ZFC, Gödel metric, Godel’s ontological proof.

**Pierre de Fermat’s** analysis of numbers and his examining of the Diophantine equations remains the cornerstone for work done in later mathematical research in the 20^{th} and 21^{st} century, hundreds of years after his death.

A French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.

**5.** If you are a math lover, you will never forget the mathematical achievements of Greek antiquity. The most seminal and influential of all Greek mathematicians is Euclid. Euclid covered almost all areas of mathematics – such as algebra and plane geometry in his book- Elements. This book remain a staple in all graduate level mathematics classes and even after 2000 years of its creation, has been the centerpiece of geometry and its laws. Written in the year 300 BC, Euclid introduced a set of axioms that went around to demonstrate the mathematical exactitude of the theorems that follow naturally. Along with **Pythagoras**, **Euclid** remains the father of geometry in mathematics. From Dostoevsky to **Albert Einstein, Euclid’s Elements** remains a path breaking work in mathematics.