Analytical Mechanics
Cham : Springer International Publishing : Imprint: Springer, 2017
Abstract/Sommario:
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi a ...; [leggi tutto]
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Descrizione | Analytical Mechanics / by Carl S. Helrich. - Cham : Springer International Publishing : Imprint: Springer, 2017. - XV, 349 p. 58 illus ; online resource. - (Undergraduate Lecture Notes in Physics) |
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History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation -- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.. - Springer eBooks. - Printed edition: 9783319444901
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ID scheda | 139312 |
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