Six Not-so-easy Pieces

Part 1 Vectors: symmetry in physics; translations; rotations; vectors; vector algebra; Newton's laws in vector notation; scalar product of vectors. Part 2 Symmetry in physical laws: symmetry operations; symmetry in space and time; symmetry and conservation laws; mirror reflections; polar and axial vectors; which hand is right?; parity is not conserved!; antimatter; broken symmetries. Part 3 The special theory of relativity: the principle of relativity; the Lorentz transformation; the Michelson-Morley experiment; transformation of time; the Lorentz contraction; simultaneity; four-vectors; relativistic dynamics; equivalence of mass and energy. Part 4 Relativistic energy and momentum: relativity and the philosophers; the twin paradox; transformation of velocities; relativistic mass; relativistic energy. Part 5 Space-time: the geometry of space-time; space-time intervals; past, present and future; more about four-vectors; four-vector algebra. Part 6 Curved space: curved spaces with two dimensions; curvature in 3-dimensional space; our space is curved; geometry in space-time; gravity and the principle of equivalence; the speed of clocks in a gravitational field; the curvature of space-time; motion in curved space-time; Einstein's theory of gravitation.