An accessible guide to analytical mechanics, clearly explaining the mathematical theory to help students formulate, solve and interpret problems in mechanics. Each chapter includes easily-visualised examples to provide context and reinforcement of important theory, and concludes with a set of exercises to test understanding.
An accessible guide to analytical mechanics, clearly explaining the mathematical theory to help students formulate, solve and interpret problems in mechanics. Each chapter includes easily-visualised examples to provide context and reinforcement of important theory, and concludes with a set of exercises to test understanding.
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.
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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