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An Introduction to Lagrangian Mechanics (Paperback)

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An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler?Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.This textbook is suitable for undergraduate students who have acquired the mathematical skills needed to complete a course in Modern Physics. The latest edition includes more variational problems (entropy, electrical, surfaces) and applications in optics, orbital dynamics, and perturbation theory. Discussions continue on Noether's method, Maxwell relations in thermodynamics, modified Rutherford and reduced hard-sphere scattering as well as geostrophic and quasi-geostrophic flows.
Number of Pages: 305.0
Genre: Science
Sub-Genre: Mechanics / Dynamics / General, Mechanics / Dynamics / Thermodynamics, Mathematical Physics
Format: Paperback
Publisher: World Scientific Pub Co Inc
Language: English
Street Date: December 15, 2014
TCIN: 16882472
UPC: 9789814623629
Item Number (DPCI): 247-41-3571

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