Lectures on the Algebraic Theory of Fields
by K.G. Ramanathan
Publisher: Tata Institute of Fundamental Research 1956
Number of pages: 228
These lecture notes on Field theory are aimed at providing the beginner with an introduction to algebraic extensions, algebraic function fields, formally real fields and valuated fields. We assume a familiarity with group theory, vector spaces and ideal theory of rings.
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by M. Kneser - Tata Institute of Fundamental Research
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A clearly written book, which uses exclusively algebraic language (and no cohomology), and which will be useful for every algebraist or number theorist. It is easily accessible and suitable also for first-year graduate students.
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