A Student's Guide to Analytical Mechanics
Series: Student's Guides;
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Publisher Cambridge University Press
- Date of Publication 30 August 2018
- ISBN 9781316509074
- Binding Paperback
- No. of pages214 pages
- Size 227x152x11 mm
- Weight 370 g
- Language English
- Illustrations 50 b/w illus. 100
Categories
Short description:
An accessible guide to analytical mechanics, using intuitive examples to illustrate the underlying mathematics, helping students formulate, solve and interpret problems in mechanics.
MoreLong description:
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.
'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
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.
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