A Student's Guide to Lagrangians and Hamiltonians - Couverture souple

Hamill, Patrick

Couverture souple

ISBN 10 : 1107617529 ISBN 13 : 9781107617520

Editeur : Cambridge University Press, 2013

Synopsis

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.

A propos du livre

À propos de l'auteur

Patrick Hamill is Professor Emeritus of Physics at San José State University. He has taught physics for over thirty years and his research interests are in celestial mechanics and atmospheric physics.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1107617529
• ISBN 13: 9781107617520
• Reliure: Broché
• Nombre de pages: 184
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France