A Student's Guide to Analytical Mechanics

by John L. Bohn

Overview

Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.

Product Details

ISBN-13:	9781107145764
Publisher:	Cambridge University Press
Publication date:	08/30/2018
Series:	Student's Guides
Edition description:	Student
Pages:	214
Product dimensions:	6.14(w) x 9.25(h) x 0.59(d)

About the Author

John L. Bohn is Professor of Physics at the University of Colorado Boulder. He is a Fellow of JILA - an interdisciplinary institute for quantum physics, chemistry and astronomy - and a Fellow of the American Physical Society.

Table of Contents

Preface; Part I. Overview: 1. Why analytical mechanics?; 2. Ways of looking at a pendulum; Part II. Equations of Motion: 3. Constraints and d'Alembert's principle; 4. Lagrangian mechanics; 5. Samples from Lagrangian mechanics; 6. Hamiltonian mechanics; Part III. Methods of Solution: 7. Hamilton–Jacobi theory; 8. Action-Angle variables; 9. More applications of analytical mechanics; Further reading; Index.

Editorial Reviews

'Bohn has written an excellent supplement for understanding analytical mechanics … A further reading section at the back provides useful directions for more study. Overall this will serve as an excellent supplement to a regular mechanics textbook.' S. Tripathi, Choice

From the Publisher