Field Arithmetic (Paperback, 3)

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 Theorem. - 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. - Problems of Arithmetical Geometry. - Projective Groups and Frattini Covers. - PAC Fields and Projective Absolute Galois Groups. - Frobenius Fields. - Free Profinite Groups of Infinite Rank. - Random Elements in Free Profinite Groups. - Omega-Free PAC Fields. - Undecidability. - Algebraically Closed Fields with Distinguished Automorphisms. - Galois Stratification. - Galois Stratification over Finite Fields. - Problems of Finite Arithmetic.