Lagrange

PAGES WEB

Lagrange, Joseph (1736-1813)

from Eric Weisstein's World of Science/Mathematics

<http://scienceworld.wolfram.com/biography/Lagrange.html>

Lagrange/multipliers

We are given a constraint equation g(x,y) = 0 and an optimizee function f(x,y). The goal is to find the maximum and minimum values of f among the values taken on by f along the constraint curve; i.e., the set of points for which g(x,y) = 0. Moreover, we would like to find all of the points (x,y) at which these maxima and minima are attained.

<http://www.math.gatech.edu/~carlen/2507/notes/lagMultipliers.html>

DOCUMENTS - PAPERS

A Short Proof of Jacobi's Formula for the Number of Representations of an Integer as a Sum of Four Squares

<http://xxx.lpthe.jussieu.fr/abs/math/?9206203>

Jacobi's Four Square Theorem

Eric Conrad

<http://mathserv.mps.ohio-state.edu/~econrad/Jacobi/sumofsq/sumofsq.html>

Waring's problem

a generalization of Lagrange's Four-Square Theorem

<http://mathworld.wolfram.com/WaringsProblem.html>

On an estimation of polynomial roots by Lagrange

Maurice Mignotte, Doru Stefanescu

Since Lagrange does not provide a complete proof, we give one following Cauchy's method. We also present a slight generalization of this theorem of Lagrange, using a result of Kojima.

<http://www-irma.u-strasbg.fr/irma/publications/2002/02025.shtml>

HISTORIQUES - HISTORY

Joseph-Louis Lagrange

25 Jan 1736 - 10 April 1813

<http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Lagrange.html>

Joseph Louis Lagrange (1736 - 1813)

From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball.

Transcribed by D.R. Wilkins School of Mathematics Trinity College, Dublin

<http://www.maths.tcd.ie/pub/HistMath/People/Lagrange/RouseBall/RB_Lagrange.html>

BIOGRAPHIES

Les pÃ¨res fondateurs de l'X

Joseph-Louis, Comte LAGRANGE

<http://www.sabix.org/biographies2.html>

LIENS - LINKS

<liens_math.html>

Mathematics (since 2/92)

<http://xxx.lpthe.jussieu.fr/archive/math>

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