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Hermite applied elliptic functions to the quintic equation. He published the first proof that e is a transcendental number.
Hermite always found formal examinations difficult and had to spend 5 years working for his B.Sc. which he received in 1848. He held posts at the École Polytechnique, Collège de France, École Normale Supérieure and the Sorbonne.
His work in the theory of functions includes the application of elliptic functions to the general equation of the fifth degree, the quintic equation. In 1873 he published the first proof that e is a transcendental number.
His proof, published in 1873, that e is a transcendental number, is especially well known.
Using method's similar to those of Hermite, Lindemann established in 1882 that
was also transcendental.
Hermite is known also for a number of mathematical entities that bear his name, Hermite polynomials, Hermite's differential equation, Hermite's formula of interpolation and Hermitian matrices.
Poincaré is the best known of Hermite's students.
References elsewhere in this archive:
Tell me about Hermite's work on abstract linear spaces
References:
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