An Overview of Ring Theory and Field Theory

Rings! Commutative and unital; definition of; integral domains and fields; polynomial rings; irreducibility of polynomials; cyclotonic polynomials, Eisenstein irreducibility criterion;…

Mathematical Problem Solving: 1/???

Strategies, per Zeitz (general guidelines for making solutions; applies beyond mathematics): Psychological: Toughen up (confidence and concentration), loosen up (deliberately…