Leonhard Euler

Mathematics Swiss 1707 – 1783 338 quotes

Most prolific mathematician in history

Quotes by Leonhard Euler

The Euler characteristic is a topological invariant.

Elementa doctrinae solidorum 1758

The study of mathematics is an exercise in the highest form of reasoning.

Attributed

The more I learn, the more I realize how much I don't know.

Attributed

The Euler-Maclaurin formula relates sums to integrals.

Methodus universalis series summandi ulterius promota 1732

The concept of a logarithm is a powerful tool in mathematics.

Introductio in analysin infinitorum 1748

The universe is a harmonious system, and mathematics is the key to understanding its harmony.

Attributed

The Euler product formula for the Riemann zeta function.

Variae observationes circa series infinitas 1737

The Euler totient function counts the number of positive integers up to a given integer n that are relatively prime to n.

Theoremata circa divisores numerorum 1763

The Euler line connects the orthocenter, circumcenter, and centroid of a triangle.

Solutio problematum ad geometriam pertinentium 1765

The Euler-Bernoulli beam theory describes the behavior of beams under bending.

Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes... 1750

Although I am blind, I can still do mathematics.

Letter to a colleague

The more I study, the more I am convinced that the world is a wonderful place.

Letter to a friend

I have often reflected on the fact that the two greatest mathematicians of the last century, Newton and Leibniz, both died without having established a complete and satisfactory theory of the calculus.

Letter to a colleague

Mathematics is the language in which God has written the universe.

Attributed, likely from a letter or philosophical work

To the glory of God, I have calculated.

Attributed, often cited as a personal motto

My memory is failing me, but my love for mathematics remains strong.

Letter to a friend

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.

Letter to a friend

I am quite content with my lot, and I have no desire to change it.

Letter to a friend

The study of nature is the study of God.

Attributed, likely from a letter or philosophical work

I am a mathematician, and I love my work.

Letter to a friend