دانلود کتاب The Action Principle and Partial Differential Equations. (AM-146), Volume 146

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Contents\nGeneral Introduction\n1.\n 1.0 Introduction\n 1.1 The Lagrangian Picture\n 1.2 The Hamiltonian Picture\n 1.3 Examples\n2.\n 2.0 Introduction\n 2.1 The Canonical and Symplectic Forms\n 2.2 Symplectic Transformations\n 2.3 The Equations of Variation\n 2.4 The Circulation Theorem\n 2.5 The Euler System\n 2.6 Irrotational Solutions\n 2.7 The Equation of Continuity\n3.\n 3.0 Introduction\n 3.1 Compatible Currents\n 3.2 Null Currents and Null Lagragians\n 3.3 The Source Equations\n 3.4 The Generic Case n>1 & m>2\n 3.5 The Separable Case m>2\n 3.6 The Case m = 2\n 3.7 Lie Flows and the Noether Current\n4.\n 4.1 Sections of Vector Bundles\n5.\n 5.0 Introduction\n 5.1 Relative Lagrangians\n 5.2 Ellipticity and Hyperbolicity\n 5.3 The Domain of Dependence\n6.\n 6.1 The Electromagnetic Field\n 6.2 Electromagnetic Symplectic Structure\n 6.3 Electromagnetic Compatible Currents\n 6.4 Causality in Electromagnetic Theory\nBibliography\nIndex