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Techniques of Classical Mechanics: From Lagrangian to Newtonian mechanics fulfils the niche that connects introductory-level physics books to graduate-level books. This book has been tested on students taking Samya Zain’s Newtonian Mechanics course at Susquehanna University and it is accompanied by her website, which features problems and exercises that will be regularly updated to match students’ needs. The text serves as an excellent stepping stone from introductory physics to graduate-level physics, it provides a level field for the various techniques used to solve problems in classical mechanics, it explains the Lagrangian and Hamiltonian methods more simply, and is a must for junior and senior physics undergraduates.
1 Foundations
2 Conservation Laws
3 Newtonian Mechanics
4 Lagrangian Mechanics
5 Hamiltonian Mechanics
6 Waves and Oscillations
7 Simple Harmonic Oscillation
8 Gravitation and Central Forces
9 Two and Three-Dimensional Dynamics
10 Circular and Projectile Motion
11 Fluid-statics
12 Fluid Resistance
13 Fluid Dynamics
14 Properties of Solids
15 Rotation - Motion of Rigid Bodies
16 System of Particles
17 Scattering Theory
Appendix A Unit Conversion
Appendix B Velocity and Acceleration in Various Coordinates
Appendix C Noether's Theorem
Appendix D Conguration Space