Brizard

Brizard

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 further and added topics not traditionally staged in undergrad textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh s routine for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for various neverending Lagrangian systems; an introduction to elliptic functions with apps in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.

This textbook is suitable for undergrad students who have acquired the mathematical attainments necessitated to finish a course in Modern Physics.

Contents: The Calculus of Variations; Lagrangian Mechanics; Hamiltonian Mechanics; Motion in a Central-Force Field; Collisions and Scattering Theory; Motion in a Non-Inertial Frame; Rigid Body Motion; Normal-Mode Analysis; Continuous Lagrangian Systems; Appendices:; Basic Mathematical Methods; Elliptic Functions and Integrals; Noncanonical Hamiltonian Mechanics.

ReviewThis book is magnificent supplying a solid foundation in analytical mechanics. The selection of topics, the analysis applied for the description of all the key concepts, the historical description of the very a heap of characters appearing along the development of the theory, including the stringent mathematical analysis applied for the exposition of the dissimilar chapters, makes it a very utile textbook. Each chapter ends within a nice collection of interesting exercises intended to be solved by the student … It may likewise be very utile as a source reference for lecturers in innovative mechanics, by selecting the suitable subsections and adjusting them to the level of the students in class. –Contemporary Physics

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