TY - BOOK AU - Greiner, Walter TI - Classical mechanics: point particles and relativity SN - 9780387955865 U1 - 531 PY - 2004/// CY - New York PB - Springer KW - Mechanics KW - Relativity N1 - I. Vector Calculus -- 1. Introduction and Basic Definitions -- 2. Scalar Product -- 3. Component Representation of a Vector -- 4. Vector Product (Axial Vector) -- 5. Tripe Scalar Product -- 6. Application of Vector Calculus -- 7. Differentiation and Integration of Vectors -- 8. Moving Trihedral (Accompanying Dreibein) -- the Frenet Formulas -- 9. Surfaces in Space -- 10. Coordinate Frames -- 11. Vector Differential Operations -- 12. Determination of Line Integrals -- 13. Integral Laws of Gauss and Stokes -- 14. Calculation of Surface Integrals -- 15. Volume (Space) Integrals -- II. Newtonian Mechanics -- 16. Newton's Axioms -- 17. Basic Concepts of Mechanics -- 18. General Linear Motion -- 19. Free Fall -- 20. Friction -- 21. Harmonic Oscillator -- 22. Mathematical Interlude -- Series Expansion, Euler's Formulas -- 23. Damped Harmonic Oscillator -- 24. Pendulum -- 25. Mathematical Interlude: Differential Equations -- 26. Planetary Motions -- 27. Special Problems in Central Fields -- 28. Earth and our Solar System -- III. Theory and Relativity -- 29. Relativity and Principle and Michelson-Morley Experiment -- 30. Lorentz Transformation -- 31. Properties of the Lorentz transformation -- 32. Addition Theorem of the Velocities -- 33. Basic Quantities of Mechanics in Minkowski Space -- 34. Applications of the Special Theory of Relativity ER -