Lagrangian and Hamiltonian Mechanics

ISBN-10: 9810226721

ISBN-13: 9789810226725

Edition: N/A

Authors: M. G. Calkin
List price: $43.00
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Description: This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian–Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical“hidden” momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the“(e/c)A” term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton–Jacobi equation of mechanics, the eikonal equation of optics, and the Schrödinger equation of quantum mechanics.The text contains 115 exercises. This text is suitable for a course in classical mechanics at the advanced undergraduate level.

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Book details

List price: $43.00
Publisher: World Scientific Publishing Co Pte Ltd
Binding: Hardcover
Pages: 228
Size: 6.25" wide x 8.75" long x 0.75" tall
Weight: 1.254
Language: English

Maynard Mack was born in Hillsdale, Michigan on October 27, 1909. He received a bachelor's degree in 1932 and a doctorate in 1936 from Yale University. He taught at Yale University for 45 years before his retirement in 1978 and was a world-renowned expert on Shakespeare, Alexander Pope, and twentieth century literary criticism. He wrote numerous books including King Lear in Our Time, The Garden and the City, Collected in Himself, The Last and Greatest Art, Alexander Pope: A Life, Prose and Cons: Monologues on Several Occasions, and Everybody's Shakespeare: Reflections Chiefly on the Tragedies. He also served as an editor of The Twickenham Edition of the Poems of Alexander Pope, which has become the standard edition of the poet's work, and he edited several collections of contemporary critical essays. He died on March 17, 2001 at the age of 90.

Preface
Newton's Laws
The Principle of Virtual Work and D'Alembert's Principle
Lagrange's Equations
The Principle of Stationary Action or Hamilton's Principle
Invariance Transformations and Constants of the Motion
Hamilton's Equations
Canonical Transformations
Hamilton-Jacobi Theory
Action-Angle Variables
Non-Integrable Systems
Index
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