TY - BOOK AU - Bohn,John L. TI - A student's guide to analytical mechanics T2 - Student guide series SN - 9781316509074 AV - QA807 .B646 2018 PY - 2018/// CY - Cambridge, United Kingdom PB - Cambridge University Press KW - Mechanics, Analytic KW - Textbooks N1 - Includes bibliographical references (pages 201-202) and index; Part I. Overview. Why analytical mechanics? ; Ways of looking at a pendulum -- Part II. Equations of motion. Constraints and d'Alembert's principle ; Lagrangian mechanics ; Samples from Lagrangian mechanics ; Hamiltonian mechanics -- Part III. Methods of solution. Hamilton -- Jacobi theory ; Action-angle variables ; More applications of analytical mechanics N2 - "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 ER -