Hamill, Patrick
A Student's Guide to Lagrangians and Hamiltonians
- ISBN 13:
- 9781107617520
- author:
- Hamill, Patrick
- format:
- Paperback
- publisher:
- Cambridge University Press
- language:
- English
- Publication Year:
- 2013
- Pages:
- 180
- Dimensions:
- 22.6 x 15.2 x 1 cm
- Genre:
- Science & Nature, Engineering & Technology, Civil Engineering,
- Condition:
- New
- Availability:
- Item usually sent within 4 working days
Description
A Student's Guide to Lagrangians and Hamiltonians by Patrick Hamill provides a concise treatment of variational techniques, focusing primarily on Lagrangian and Hamiltonian systems. The book begins by applying Lagrange's equations to mechanical systems, introducing generalized coordinates and momentum. The calculus of variations is then used to derive the Euler-Lagrange equations, with Hamilton's principle playing a central role in deriving further results. Topics such as the Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets, and Hamilton-Jacobi theory are also covered. The book concludes by discussing continuous Lagrangians and Hamiltonians, their relationship to field theory, and how they can be used to model various physical systems. With clear explanations and numerous worked examples and exercises, this book is a valuable supplement to courses in mechanics, helping students master the material and develop a deeper understanding of variational techniques.
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