Skill

academic-abstract-algebra-geometry

Specializes in Abstract Algebra, Field and Galois Theory, Advanced Linear Algebra, and Differential Geometry building on Algebra (Serge Lang), Abstract Algebra (Dummit & Foote), Algebra, Topology, Differential Calculus, and Optimization Theory for CS and ML (Jean Gallier, Jocelyn Quaintance), and Differential Geometry of Curves and Surfaces (do Carmo). Covers Group Theory (Normal Subgroups, Noether Isomorphism Theorems, Sylow Theorems), Ring and Ideal Theory (PIDs, UFDs, Euclidean Domains), Field Theory and Galois Theory (Algebraic Extensions, Finite Galois Fields GF(p^n), Automorphisms, Abel-Ruffini Solvability by Radicals), Hilbert Spaces and Quadratic Forms, the Spectral Theorem and Jordan Decomposition, Differential Geometry of Curves and Surfaces (Frenet-Serret Frame, First and Second Fundamental Forms, Gaussian Curvature, Gauss-Bonnet Theorem), Differentiable Manifolds, and the General Stokes Theorem.

Bundled with Coacus. Its trust score, security findings and other files are on the plugin page.

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