A Student's Guide to Lagrangians and Hamiltonians

Patrick Hamill

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English

Cambridge University Press
21 November 2013

Mathematics & Sciences; Classical mechanics

Series: Student's Guides

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.

By: Patrick Hamill
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 223mm, Width: 153mm, Spine: 10mm
Weight: 310g
ISBN: 9781107617520
ISBN 10: 1107617529
Series: Student's Guides
Pages: 181
Publication Date: 21 November 2013
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Patrick 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.

Reviews for A Student's Guide to Lagrangians and Hamiltonians

'… in a logically clear and physically rigorous way the book highlights the landmarks of the analytical mechanics so that the attentive student can be easily prepared for the exam. It is suitable for studying in intermediate and upper-level undergraduate courses of classical mechanics …' Vladimir I. Pulov, Journal of Geometry and Symmetry in Physics