Author:
Bohn, John L., 1965- author.
ImprintCambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
Descriptionxii, 205 pages : illustrations ; 23 cm.
Note:Why analytical mechanics? -- Ways of looking at a pendulum -- Constraints and d'Alembert's principle -- Lagrangian mechanics -- Samples from Lagrangian mechanics -- Hamiltonian mechanics -- Hamilton-Jacobi theory -- Action-angle variables -- More applications of analytical mechanics.
Bibliography Note:Includes bibliographical references (pages 201-202) and index.
Note:"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." --Publisher's description.
