Gabriel Lamé

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Gabriel Lamé
Born	(1795-07-22)22 July 1795 Tours, France
Died	1 May 1870(1870-05-01) (aged 74) Paris, France
Known for	Euclidean algorithm Lamé coefficients Lamé curve Lamé function Lamé parameters Lamé's special quartic
Scientific career
Fields	Mathematics

Gabriel Lamé (22 July 1795 – 1 May 1870) was a French mathematician who contributed to the theory of partial differential equations by the use of curvilinear coordinates, and the mathematical theory of elasticity (for which linear elasticity and finite strain theory elaborate the mathematical abstractions).

Biography

Lamé was born in Tours, in today's département of Indre-et-Loire.

He became well known for his general theory of

${\displaystyle \left|\,{x \over a}\,\right|^{n}+\left|\,{y \over b}\,\right|^{n}=1}$

where n is any positive real number.

He is also known for his

Curvilinear coordinates proved a very powerful tool in Lamé's hands. He used them to transform Laplace's equation into ellipsoidal coordinates and so separate the variables and solve the resulting equation.

His most significant contribution to engineering was to accurately define the stresses and capabilities of a press fit joint, such as that seen in a dowel pin in a housing.

In 1854, he was elected a foreign member of the Royal Swedish Academy of Sciences.

Lamé died in Paris in 1870. His name is one of the 72 names inscribed on the Eiffel Tower.

Books

• 1818: Examen des différentes méthodes employées pour résoudre les problèmes de géométrie ( Vve Courcier)
• 1840: Cours de physique de l'Ecole Polytechnique. Tome premier, Propriétés générales des corps—Théorie physique de la chaleur (Bachelier)
• 1840: Cours de physique de l'Ecole Polytechnique. Tome deuxième, Acoustique—Théorie physique de la lumière (Bachelier)
• 1840: Cours de physique de l'Ecole Polytechnique. Tome troisième, Electricité-Magnétisme-Courants électriques-Radiations (Bachelier)
• 1852: Leçons sur la théorie mathématique de l'élasticité des corps solides (Bachelier)
• 1857: Leçons sur les fonctions inverses des transcendantes et les surfaces isothermes (Mallet-Bachelier)
• 1859: Leçons sur les coordonnées curvilignes et leurs diverses applications (Mallet-Bachelier)
• 1861: Leçons sur la théorie analytique de la chaleur (Mallet-Bachelier)

See also

• Lamé’s Theorem
• Euclidean algorithm (Algorithmic efficiency)
• Lamé crater
• Piet Hein
• Julius Plücker
• Helmholtz equation
• Proof of Fermat's Last Theorem for specific exponents
• Stefan problem

External links

• Superellipse (MathWorld)
• Lamé's Oval / Superellipse (Java-applet)
• O'Connor, John J.; Robertson, Edmund F., "Gabriel Lamé", MacTutor History of Mathematics Archive, University of St Andrews