A student's guide to Lagrangians and Hamiltonians / Patrick Hamill, San Jose State University.
Material type: TextPublisher: Cambridge : Cambridge University Press, 2014Description: 1 online resource (x, 173 pages) : digital, PDF file(s)Content type:- text
- computer
- online resource
- 9781107337572 (ebook)
- A Student's Guide to Lagrangians & Hamiltonians
- 515/.39 23
- QA805 .H24 2014
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Fundamental concepts -- The calculus of variations -- Langrangian dynamics -- Hamilton's equations -- Canonical transformations; poisson brackets -- Hamilton-Jacobi theory -- Continuous systems.
A 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, canonical 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.
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