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In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.
In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.
Basic Considerations and Concepts
Fundamentals of Classical Mechanics
One-Dimensional Motion of a Particle
Peculiar Motion in Two Dimensions
Motion in a Central Force
Gravitational Force Between Two Bodies
Collisions of Particles. Scattering
Changing the Frame of Reference
Lagrangian Mechanics
Conservation Laws and Symmetries
The Rigid Body
Small Oscillations
Hamiltonian Mechanics
Hamilton–Jacobi Theory
Three-body Systems
Approximating Non-Integrable Systems
Description
In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.
In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.
