
- 300 pages
- English
- PDF
- Available on iOS & Android
Classical Mechanics for Physics Graduate Students
About this book
This book is intended for first year physics graduate students who wish to learn about analytical mechanics. Lagrangians and Hamiltonians are extensively treated following chapters where particle motion, oscillations, coordinate systems, and rigid bodies are dealt with in far greater detail than in most undergraduate textbooks. Perturbation theory, relativistic mechanics, and two case studies of continuous systems are presented.
Each subject is approached at progressively higher levels of abstraction. Lagrangians and Hamiltonians are first presented in an inductive way, leading up to general proofs. Hamiltonian mechanics is expressed in Cartan's notation not too early; there is a self-contained account of the traditional formulation.
Numerous problems with detailed solutions are provided. Graduate students studying for the qualifying examination will find them very useful.
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Information
Table of contents
- Contents
- Preface
- Acknowledgements
- List of Figures
- Chapter 1 INTRODUCTION
- Chapter 2 EXAMPLES OFPARTICLE MOTION
- Chapter 3 FIXED POINTS,OSCILLATIONS, CHAOS
- Chapter 4 COORDINATESYSTEMS
- Chapter 5 RIGID BODIES
- Chapter 6 LAGRANGIANS
- Chapter 7 HAMILTONIANS
- Chapter 8 ACTION-ANGLEVARIABLES
- Chapter 9 PERTURBATIONTHEORY
- Chapter 10 RELATIVISTICDYNAMICS
- Chapter 11 CONTINUOUSSYSTEMS
- Index
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