This is an introduction to Galois Theory along the lines of Galois s Memoir on the Conditions for Solvability of Equations by Radicals. It puts Galois s ideas into historical perspective by tracing their antecedents in the works of Gauss, Lagrange, Newton, and even the ancient Babylonians. It also e[...]
This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation fo[...]