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Calcul des variations --- Calculus of variations --- Fysica --- Mechanica --- Mechanics --- Mécanique --- Natuurkunde --- Physics --- Physique --- Variatieberekening --- Calcul des variations.

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Operational research. Game theory --- Algebres convexes --- Calcul des variations --- Calculus of variations --- Convex domains --- Convexe algebra's --- Inégalités variables (Mathématiques) --- Variatieberekening --- Variational inequalities (Mathematics) --- Veranderlijke ongelijkheden (Wiskunde) --- Calculus of variations. --- 51 --- Mathematics --- 51 Mathematics --- Inequalities, Variational (Mathematics) --- Differential inequalities --- Convex regions --- Convexity --- Convex geometry --- Point set theory --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Convex domains.

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Calcul des variations --- Calculus of variations --- Differentiaalvergelijkingen [Niet-lineaire ] --- Differential equations [Nonlinear ] --- Equations différentielles non-linéaires --- Hamiltonian systems --- Hamiltonsystemen --- Systèmes hamiltoniens --- Variatieberekening --- Differential equations, Nonlinear --- Equations différentielles non linéaires --- Calculus of variations. --- Differential equations, Nonlinear. --- Hamiltonian systems. --- Equations différentielles non linéaires --- Systèmes hamiltoniens

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This 2-volume treatise by two of the leading researchers and writers in the field, quickly established itself as a standard reference. It pays special attention to the historical aspects and the origins partly in applied problems - such as those of geometric optics - of parts of the theory. A variety of aids to the reader are provided, beginning with the detailed table of contents, and including an introduction to each chapter and each section and subsection, an overview of the relevant literature (in Volume II) besides the references in the Scholia to each chapter in the (historical) footnotes, and in the bibliography, and finally an index of the examples used through out the book.

Calcul des variations --- Calculus of variations --- Variatieberekening --- Calculus of variations. --- Differential geometry. --- Mathematical physics. --- Calculus of Variations and Optimal Control; Optimization. --- Differential Geometry. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Differential geometry --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Mathematics

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The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations.

Differential equations --- Differential equations. --- Calculus of variations. --- Hamiltonian systems. --- Calculus of variations --- Hamiltonian systems --- Calculus --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Calcul des variations --- Differentiaalvergelijkingen --- Equations différentielles --- Hamiltonsystemen --- Systèmes hamiltoniens --- Variatieberekening --- Mathematical analysis. --- Analysis (Mathematics). --- Differential geometry. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Mechanics. --- Mechanics, Applied. --- Analysis. --- Differential Geometry. --- Global Analysis and Analysis on Manifolds. --- Theoretical and Applied Mechanics. --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Differential geometry --- 517.1 Mathematical analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory