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Charles Hermite

French mathematician who proved e is transcendental.

Charles Hermite

He is best known for proving the transcendence of the number e, a landmark achievement in mathematics.

field
Mathematics
nationality
French
known_for
Proof of the transcendence of e

Lore & Background

Hermite was born in Dieuze, Moselle, with a deformity in his right foot that impaired his gait. He was the sixth of seven children; his father worked in the drapery business and as an artist. Hermite attended Collège de Nancy, then Collège Henri IV and Lycée Louis-le-Grand in Paris, where he read works by Lagrange and Gauss. That year he returned to École Polytechnique as répétiteur and examinateur d'admission, and was elected to the French Academy of Sciences.

Reader's Guide

This built on Liouville's prior work and opened the door for Lindemann's later proof of the transcendence of π. Hermite also proved that π² and therefore π are irrational, though he did not prove π transcendental. He proved that eigenvalues of Hermitian matrices are always real, generalizing Cauchy's result. His work on elliptic and Abelian functions, including correspondence with Jacobi, was included in Jacobi's complete works. Later in life, he studied linear differential equations and found solutions to Lamé's equation. His legacy includes the Hermite crater on the Moon and numerous mathematical concepts named after him.

Did You Know?

Frequently Asked Questions

What is Charles Hermite most famous for?

He is best remembered for proving that the number e is transcendental, meaning it cannot satisfy any polynomial equation with rational coefficients. This result is widely regarded as a landmark achievement in the history of mathematics.

Which mathematical fields did Charles Hermite contribute to?

His work spanned analysis, number theory, and algebra, making him one of the more broadly influential mathematicians of his era.

Why is Charles Hermite's proof about e considered so important?

Before his result, it was unclear whether e might be algebraic like many other well-known constants. By establishing its transcendence, Hermite settled a long-standing open question and opened the door to further breakthroughs in transcendental number theory.

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