Math 563: Model Theory
نویسنده
چکیده
Course Description: An important branch of mathematical logic is model theory, the study of first-order theories and the classes of models defined by such theories. This course will include numerous applications of model theory to algebra, especially ordered fields and differential fields. All of the necessary background in mathematical logic and algebra will be presented in detail. Among the high points of the course will be (1) the solution of Hilbert’s 17th problem on positive definite forms, (2) the proof that every differential field of characteristic 0 has a unique differential closure.
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