Even and Odd Functions
Two symmetry conditions, how to test for them in one substitution, and why most functions are neither.
Every page in the KEVOS library tagged symmetry. 5 pages.
Two symmetry conditions, how to test for them in one substitution, and why most functions are neither.
Four algebraic tests that reveal a curve's symmetry before any points are plotted, and how each one halves the work of sketching.
Finite groups arise from permutations, polygon and polyhedron symmetries, lattice symmetries and reflections. Visual geometry makes abstract group operations concrete.
Problem-solving handbook synthesising the source's group exercises into reusable methods for proof, computation and structural recognition.
Handbook guide to polynomial equations, solution by radicals, the transition from degrees one to four, and the structural obstruction that appears for generic degree-five equati…