A Student's Guide to Analytical Mechanics

John L. Bohn

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English

Cambridge University Press
30 August 2018

Mathematics & Sciences; Physics; Classical mechanics; Engineering: general

Series: 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.

By: John L. Bohn
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 227mm, Width: 152mm, Spine: 11mm
Weight: 370g
ISBN: 9781316509074
ISBN 10: 1316509079
Series: Student's Guides
Pages: 226
Publication Date: 30 August 2018
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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.

Reviews for A Student's Guide to Analytical Mechanics

'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 '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