Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.
Introduces equivalence classes for decomposing a set into subsets of equivalent elements, defining the quotient set X/~.
Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.
Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Introduces turbulence and symmetry in fluid dynamics, exploring the effects of Reynolds number on flow patterns.
