A Modern Approach to Classical Mechanics

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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Contents:Basic Considerations and ConceptsFundamentals of Classical MechanicsOne-Dimensional Motion of a ParticlePeculiar Motion in Two DimensionsMotion in a Central ForceGravitational Force Between Two BodiesCollisions of Particles. ScatteringChanging the Frame of ReferenceLagrangian MechanicsConservation Laws and SymmetriesThe Rigid BodySmall OscillationsHamiltonian MechanicsHamilton–Jacobi TheoryThree-body SystemsApproximating 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.
Key Features: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