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Lagrange equations --- Galois theory --- Lagrange, Equations de --- Théorie de Galois

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Mechanics --- Mécanique --- Mécanique --- Mechanics. --- Milieux continus, Mécanique des --- Continuum mechanics --- Milieux continus, Mécanique des. --- Lagrange equations --- Lagrange, Équations de. --- Elasticity --- Élasticité.

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Dynamics --- Lagrange equations --- Dynamique --- Lagrange, Equations de --- 531 --- 517 --- dynamica --- lagrange --- euler --- Hamilton --- mechanica --- wiskunde --- D'Alembert equation --- Equations, Euler-Lagrange --- Equations, Lagrange --- Euler-Lagrange equations --- Lagrangian equations --- Differential equations --- Equations of motion --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- General mechanics. Mechanics of solid and rigid bodies --- Analysis --- Dynamics. --- Lagrange equations. --- 517 Analysis --- 531 General mechanics. Mechanics of solid and rigid bodies

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Optimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion of equilibrium was dear to thinkers of the enlightenment, as illustrated by Montesquieu’s famous formulation: "In all magistracies, the greatness of the power must be compensated by the brevity of the duration." Astonishingly, natural laws are guided by a similar principle. Variational principles have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an idea which came to be known as Fermat’s principle, a cornerstone of geometrical optics. Variational Principles in Physics explains variational principles and charts their use throughout modern physics. The heart of the book is devoted to the analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. Prof. Basdevant also offers simple but rich first impressions of Einstein’s General Relativity, Feynman’s Quantum Mechanics, and more revealing and amazing interconnections between various fields of physics. A graduate of the Ecole Normale Superieure, Jean-Louis Basdevant is Professor and former Chair of the Department of Physics at the Ecole Polytechnique, and Director of Research for the CNRS. Specializing in the theoretical physics of elementary particles, quantum field theory and astrophysics, Prof. Basdevant works in the Leprince-Ringuet Laboratory at the Ecole Polytechnique.

Variational principles. --- Mechanics, Analytic. --- Field theory (Physics) --- Lagrange equations. --- Hamilton-Jacobi equations. --- Principes variationnels --- Mécanique analytique --- Champs, Théorie des (Physique) --- Lagrange, Equations de --- Hamilton-Jacobi, Equations de --- EPUB-LIV-FT SPRINGER-B LIVPHYSI --- Mathematical physics. --- Mechanics. --- Mathematical optimization. --- Mechanics, applied. --- Mathematical Methods in Physics. --- Classical Mechanics. --- Calculus of Variations and Optimal Control; Optimization. --- Optimization. --- Theoretical and Applied Mechanics. --- History and Philosophical Foundations of Physics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Physical mathematics --- Mathematics --- Physics. --- Calculus of variations. --- Mechanics, Applied. --- Isoperimetrical problems --- Variations, Calculus of --- Natural philosophy --- Philosophy, Natural --- Physical sciences