John L. Bohn

Student's Guide to Analytical Mechanics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 30. August 2018
• Englisch
• ISBN-13: 9781108693172
• Artikelnr.: 54260428

Autorenporträt

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.

Inhaltsangabe

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.