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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.
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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
Conservation Laws and Symmetries
The Rigid Body
Approximating Non-Integrable Systems
Readership: Advanced undergraduates, academics, and lecturers who may have used the first edition and would recommend their teaching assistants and students to use an updated edition in their own graduate study.
As compared to other books, integrability and chaotic behavior are considered right from the beginning and are thus naturally incorporated in the text. A short historical background is presented throughout the book either in the form of notes or of references