A Student's Guide to Lagrangians and Hamiltonians

By:

Patrick Hamill

Format:

Paperback / softback

Series:

Student's Guides

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Description

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.

Author Biography:

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.

Release date Australia

November 21st, 2013

Author

Patrick Hamill

Audiences

Professional & Vocational
Tertiary Education (US: College)

Illustrations

Worked examples or Exercises; 26 Line drawings, unspecified

Pages

181

Series

Student's Guides

Dimensions

153x223x10

ISBN-13

9781107617520

Product ID

21411414

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