About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 63. Chapters: Calculus of variations, Variational analysis, Fermat's principle, Semi-continuity, Noether's theorem, Signorini problem, Caccioppoli set, Action, Euler-Lagrange equation, Isoperimetric inequality, Variational inequality, Principle of least action, Hamilton's principle, Maupertuis' principle, History of variational principles in physics, Transportation theory, Obstacle problem, Minkowski addition, Inverse problem for Lagrangian mechanics, Direct method in the calculus of variations, Hilbert's nineteenth problem, Level set, Hemicontinuity, Envelope theorem, Subderivative, Kantorovich theorem, Moment problem, Brunn-Minkowski theorem, Fundamental lemma of calculus of variations, Lagrange multipliers on Banach spaces, Mountain pass theorem, Lagrangian system, Minkowski-Steiner formula, Differential inclusion, Semi-infinite programming, Plateau's problem, Ekeland's variational principle, Mosco convergence, Energy principles in structural mechanics, Noether identities, Beltrami identity, Nehari manifold, Morse-Palais lemma, Noether's second theorem, Path of least resistance, Minkowski's first inequality for convex bodies, -convergence, Palais-Smale compactness condition, Infinite-dimensional optimization, Homicidal chauffeur problem, Pseudo-monotone operator, Variational bicomplex, Saint-Venant's theorem, Tonelli's theorem, Dirichlet's principle, Dirichlet's energy, First variation, Epigraph, Generalized semi-infinite programming, Hu Washizu principle, Legendre-Clebsch condition, Convex analysis, Chaplygin problem, Weierstrass-Erdmann condition, Variational vector field, List of variational topics. Excerpt: Noether's (first) theorem states that any differentiable symmetry of the action of a physical system has a corresponding conservation law. The theorem was proved by German mathematician Emmy Noether in 1915 and publish...
