A Student's Guide to Analytical Mechanics
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Part of Student's Guides
- Author: John L. Bohn, University of Colorado Boulder
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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.Read more
- Includes frequent examples throughout, placing abstract mathematical concepts in a more intuitive context
- Presents exercises at the end of each chapter of varying difficulty to test understanding
- Online solutions for exercises are available to allow students to check their answers
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- Date Published: September 2018
- format: Adobe eBook Reader
- isbn: 9781108693172
- contains: 50 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
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
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