Analytical mechanics
Material type: TextPublication details: Switzerland Springer 2017Description: 349 pISBN: 9783319444901Subject(s): Mechanics, Analytic Mechanics, AppliedDDC classification: 531.01515 Summary: 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 approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.Item type | Current library | Call number | Status | Date due | Barcode |
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BK | Stack | 531.01515 HEL/A (Browse shelf (Opens below)) | Available | 51561 |
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531 TAK/I Introduction to classical mechanics | 531.015 15 KIB/C Classical mechanics | 531.0151 LEI/C Classical mechanics and electrodynamics | 531.01515 HEL/A Analytical mechanics | 531.076 PRO Problems and solutions on mechanics | 531.076 PRO Problems and solutions on mechanics | 531.11 LOW/E Essentials of Hamiltonian dynamics / |
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 approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance.
The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi.
Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
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