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Charles Hermite
Charles Hermite.jpg
Charles Hermite
Born (1822-12-24)24 December 1822
Dieuze, Moselle, France
Died 14 January 1901(1901-01-14) (aged 78)
Nationality French
Alma mater
Collège Henri IV, Sorbonne
Collège Louis-le-Grand, Sorbonne
Known for Proof that e is transcendental
Hermitian adjoint
Hermitian form
Hermitian function
Hermitian matrix
Hermitian metric
Hermitian operator
Hermite polynomials
Hermitian transpose
Hermitian wavelet
Scientific career
Fields Mathematics
Institutions
Doctoral advisor Eugène Charles Catalan
Doctoral students Léon Charve
Henri Padé
Mihailo Petrović
Henri Poincaré
Thomas Stieltjes
Jules Tannery

Charles Hermite (born December 24, 1822 – died January 14, 1901) was a famous French mathematician. He made important discoveries in many areas of math. These included number theory, which studies whole numbers, and algebra, which uses symbols to solve equations.

Many math ideas are named after him. These include Hermite polynomials and Hermitian operators. One of his students was another very famous mathematician, Henri Poincaré.

Hermite was the first to prove that the number e is a transcendental number. This means e cannot be the root of a polynomial equation with integer coefficients. Later, his methods helped another mathematician, Ferdinand von Lindemann, prove that π is also a transcendental number.

A Life in Mathematics

Charles Hermite was born in Dieuze, France, on December 24, 1822. He was born with a foot problem that made it hard for him to walk throughout his life. He was one of seven children. His father worked in a fabric business and was also an artist.

Charles Hermite circa 1887
Charles Hermite around 1887

Charles went to school in Nancy and then in Paris. He loved reading math books by famous mathematicians like Joseph-Louis Lagrange and Carl Friedrich Gauss. These books helped him learn a lot about numbers and equations.

Hermite really wanted to study at the École Polytechnique. This was a top military school known for its excellent math and science programs. He spent a year preparing for the tough entrance exam with the help of mathematician Eugène Charles Catalan.

In 1842, he got into the school. However, after just one year, the school wouldn't let him continue because of his foot. Hermite tried hard to get back in, but the school set very strict rules. He decided not to accept these rules and left the École Polytechnique without finishing his degree.

Even without graduating, Hermite made his first big math discovery in 1842. He found a simpler way to prove that some equations, like those with a fifth power, cannot be solved using only basic algebra.

He also wrote letters to another great mathematician, Carl Gustav Jacob Jacobi. Their discussions led to Hermite's work being included in Jacobi's collected papers. This showed how important Hermite's ideas were.

After leaving school, Hermite spent five years studying math on his own. During this time, he became friends with other important mathematicians like Joseph Bertrand and Joseph Liouville. In 1847, he passed his final exams and earned his degree. The next year, he married Louise Bertrand, who was Joseph Bertrand's sister.

In 1848, Hermite returned to the École Polytechnique, this time as a teacher. He also became a professor of mathematics at the University of Paris (Sorbonne) in 1869. He taught at these famous universities until he passed away.

Important Math Discoveries

Charles Hermite was a very inspiring teacher. He wanted his students to see the beauty in math and not get too caught up in tiny details. He helped many young scientists start their careers. His published lectures also had a big impact on how math was taught.

His most important original discoveries were about special types of math functions. These included Abelian functions and elliptic functions, which are advanced topics in math. He also made big contributions to number theory.

In 1858, Hermite showed that certain complex equations (fifth-degree equations) could be solved using elliptic functions. This was a major breakthrough.

His most famous achievement came in 1873. He proved that the number e is a transcendental number. This was a huge step in mathematics. Just nine years later, in 1882, Ferdinand von Lindemann used similar methods to prove that π is also transcendental.

A Famous Quote

Charles Hermite once wrote about the challenge of proving that pi is transcendental:

I shall risk nothing on an attempt to prove the transcendence of π. If others undertake this enterprise, no one will be happier than I in their success. But believe me, it will not fail to cost them some effort.

Lasting Impact

Besides the many mathematical ideas named after him, Charles Hermite also has a crater on the Moon named in his honor. The Hermite crater is located near the Moon's north pole.

See also

Kids robot.svg In Spanish: Charles Hermite para niños

  • List of things named after Charles Hermite
  • Hermitian manifold
  • Hermite interpolation
  • Hermite's cotangent identity
  • Hermite reciprocity
  • Ramanujan's constant
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