Analytical Mechanics

Analytical Mechanics

EnglishEbook
Helrich, Carl S.
Springer International Publishing
EAN: 9783319444918
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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 supportthe exceptionally clear and concise treatment of Analytical Mechanics.
EAN 9783319444918
ISBN 3319444913
Binding Ebook
Publisher Springer International Publishing
Publication date October 1, 2016
Language English
Country Uruguay
Authors Helrich, Carl S.
Series Undergraduate Lecture Notes in Physics