A Student's Guide to Analytical Mechanics Student's Guides Series
Langue : Anglais
Auteur : Bohn John L.
An accessible guide to analytical mechanics, using intuitive examples to illustrate the underlying mathematics, helping students formulate, solve and interpret problems in mechanics.
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.
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.
Date de parution : 08-2018
Ouvrage de 214 p.
15.2x22.7 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 25,06 €
Ajouter au panierDate de parution : 08-2018
Ouvrage de 214 p.
15.6x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 49,67 €
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