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Books > Science & Mathematics > Science: general issues > History of science
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Analytical Mechanics (Hardcover, 1997 ed.)
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Analytical Mechanics (Hardcover, 1997 ed.)
Series: Boston Studies in the Philosophy and History of Science, 191
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to the English translation of Lagrange's Mecanique Analytique
Lagrange's Mecanique Analytique appeared early in 1788 almost
exactly one cen- tury after the publication of Newton's Principia
Mathematica. It marked the culmination of a line of research
devoted to recasting Newton's synthetic, geomet- ric methods in the
analytic style of the Leibnizian calculus. Its sources extended
well beyond the physics of central forces set forth in the
Principia. Continental au- thors such as Jakob Bernoulli, Daniel
Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d'Alembert had
developed new concepts and methods to investigate problems in
constrained interaction, fluid flow, elasticity, strength of
materials and the operation of machines. The Mecanique Analytique
was a remarkable work of compilation that became a fundamental
reference for subsequent research in exact science. During the
eighteenth century there was a considerable emphasis on extending
the domain of analysis and algorithmic calculation, on reducing the
dependence of advanced mathematics on geometrical intuition and
diagrammatic aids. The analytical style that characterizes the
Mecanique Analytique was evident in La- grange's original
derivation in 1755 of the 8-algorithm in the calculus of
variations. It was expressed in his consistent attempts during the
1770s to prove theorems of mathematics and mechanics that had
previously been obtained synthetically. The scope and
distinctiveness of his 1788 treatise are evident if one compares it
with an earlier work of similar outlook, Euler's Mechanica sive
Motus Scientia Analyt- 1 ice Exposita of 1736.
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