Galois theory explains why some equations can be solved by radicals and others cannot. This undergraduate-friendly introduction explores Galois groups, splitting fields, fixed fields, subgroup lattices, normal subgroups, and the deep symmetry behind the quintic equation.
Woody Calculus presents a number theory paper on odd perfect numbers, modular valuations, Euler’s form, the abundancy index, and Zsigmondy’s theorem, developing a finite framework for analyzing the structure of hypothetical odd perfect numbers.
This full-length Woody Calculus web edition presents Brian M. Woody’s paper, The Golden Oscillator: Rhythmic Optimization in Natural Systems, preserving the original December 12, 2025 record date while adapting the work for clear mathematical web presentation.