A Student's Guide to Analytical Mechanics

Erscheinungsjahr 2019
ISBN: 978-1-316-50907-4
Verlag: Cambridge University Press

Buch, Englisch, 214 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 323 g

Reihe: Student's Guides

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.

Autoren/Hrsg.

Bohn, John L.

Inhaltsverzeichnis

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.

Über Autor(innen)

Bohn, John L.
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.