A Student S Guide To Lagrangians And Hamiltonians
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A Student's Guide to Lagrangians and Hamiltonians
Author: Patrick Hamill
language: en
Publisher: Cambridge University Press
Release Date: 2014
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises
Author: Melvin G Calkin
language: en
Publisher: World Scientific Publishing Company
Release Date: 1999-03-12
This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.
A Student's Guide to Lagrangians and Hamiltonians
Author: Patrick Hamill
language: en
Publisher: Cambridge University Press
Release Date: 2013-11-21
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.