現代数学の系譜11 ガロア理論を読む14at MATH
現代数学の系譜11 ガロア理論を読む14 - 暇つぶし2ch276: vector is represented by quantity and direction.) Principally Lagrangian mechanics and Hamiltonian mechanics, both tightly intertwined, analytical mechanics efficiently extends the scope of classical mechanics to solve problems by employing the concept of a system's constraints. Using these concepts, theoretical physicists?such as Schrodinger, Dirac, Heisenberg and Feynman?developed quantum mechanics and its elaboration, quantum field theory[citation needed]. Applications and extensions reach into Einstein's general relativity as well as chaos theory. A very general result from analytical mechanics is Noether's theorem, which fuels much of modern theoretical physics. Contents 1 Intrinsic motion 2 Lagrangian mechanics 3 Hamiltonian mechanics 4 Properties of the Lagrangian and Hamiltonian functions 5 Principle of least action 6 Hamiltonian-Jacobi mechanics 7 Extensions to classical field theory 8 Routhian mechanics 9 Symmetry, conservation, and Noether's theorem 10 References and notes 11 See also https://ja.wikipedia.org/wiki/%E8%A7%A3%E6%9E%90%E5%8A%9B%E5%AD%A6 和文 解析力学(しょぼい)




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