Questions tagged [lagrange]

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Lagrange's Theorem as he stated it

In Wikipedia, I found that Lagrange did not state Lagrange's Theorem in its general form. He stated "If a Polynomial in $n$ variables has its variables permuted in all $n!$ ways, the number of ...
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How did Ruffini manage to extend the methods of Lagrange in order to "prove" the insolvability of the general quintic equation?

Since Lagrange published his Reflections papers during the early 1770s — around 30 years before Ruffini took up and extended the subject — I was wondering if there were any results that were ...
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Was Lagrange the first to have used generalized coordinates?

I was wondering if Lagrange was the first to use generalized coordinates as defined by their wikipedia article.
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What are the direct predecessors of Lagrange's theory of quadratic forms?

I was reading Stillwell's Mathematics and its History, where Lagrange's theory of quadratic forms is synoptically presented, and I was wondering of what are the direct predecessors of the theory. ...
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Where can I find Lagrange’s original equilateral triangular solution for arbitrary masses?

This answer to What kind of triangle is formed by three unequal masses in a circular restricted three body orbit? explains that In the Newtonian limit, an equilateral 3-body solution exists for any ...
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403 views

Does the word "God" appear regularly in the works of Joseph Lagrange?

In the Religious opinions section of the Wikipedia article on Laplace, there is an excerpt from Antommarchi's "The Last Moments of Napoleon", in which it is written that the name of God appeared ...
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67 views

What was Lagrange's contribution to the Knights Tour Problem?

Did Lagrange make any noteworthy contribution to the Knights Tour Problem?
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124 views

Was Lagrange aware of Hamiltonian mechanics?

In the book "The Road to Reality", Penrose claims that Joseph Lagrange was aware of Hamiltonian mechanics. Is there any evidence that this statement is true?
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What exactly was Lagrange's "grave mistake" with respect to rotating bodies under hydrostatic equilibrium?

A comment below What would be different about satellite orbits if Earth were prolate? Would we have Sun-synchronous and Molniya orbits? got me reading Wikipedia's Jacobi ellipsoid which begins: ...
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242 views

Why did Lagrange say that Cauchy should learn literature before mathematics?

From Bruno Belhoste's Augustin-Louis Cauchy — A Biography: Even if we should doubt the remark Valson attributed to Lagrange, it is likely that he did advise Louis-François about to his son's ...