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- DescriptionA concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.
- Author BiographyPatrick Hamill is Professor Emeritus of Physics at San Jose State University. He has taught physics for over thirty years and his research interests are in celestial mechanics and atmospheric physics.
- Author(s)Patrick Hamill
- PublisherCambridge University Press
- Date of Publication21/11/2013
- SubjectScience & Mathematics: Textbooks & Study Guides
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note26 b/w illus. 143 exercises
- Weight420 g
- Width152 mm
- Height228 mm
- Spine13 mm
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