tailieunhanh - Lectures On The Algebraic Theory Of Fields

There are notes of course of lectures on Field theory aimed at providing the beginner with an introduction to algebraic extensions, algebraic function fields, formally real fields and valuated fields. These lectures were preceded by an elementary course on group theory, vector spaces and ideal theory of rings—especially of Noetherian rings. A knowledge of these is presupposed in these notes. | Lectures on the Algebraic Theory of Fields By . Ramanathan Tata Institute of Fundamental Research Bombay 1956 Lectures on the Algebraic Theory of Fields By . Ramanathan Tata Institute of Fundamental Research Bombay 1954 Introduction There are notes of course of lectures on Field theory aimed at providing the beginner with an introduction to algebraic extensions algebraic function fields formally real fields and valuated fields. These lectures were preceded by an elementary course on group theory vector spaces and ideal theory of rings especially of Noetherian rings. A knowledge of these is presupposed in these notes. In addition we assume a familiarity with the elementary topology of topological groups and of the real and complex number fields. Most of the material of these notes is to be found in the notes of Artin and the books of Artin Bourbaki Pickert and Van-der-Waerden. My thanks are due to Mr. S. Raghavan for his help in the writing of these notes. . .