BookAuthors: Fried, Michael D.; Jarden, Moshe (2008)
Infinite Galois Theory and profinite groups -- Valuations and linear disjointness -- Algebraic function fields of one variable -- The Riemann hypothesis for function fields -- Plane curves -- The Chebotarev density theorem -- Ultraproducts -- Decision procedures -- Algebraically closed fields -- Elements of algebraic geometry -- Pseudo algebraically closed fields -- Hilbertian fields -- The classical Hilbertian fields -- Nonstandard structures -- Nonstandard approach to Hilbert's irreducibility theorm -- Galois groups over Hilbertian fields -- Free profinite groups -- The Haar measure -- Effective field theory and algebraic geometry -- The elementary theory of e-Free PAC fields -- Pro...