Local Fields (Graduate Texts in Mathematics, 67)
Local Fields by Jean-Pierre Serre is a graduate text in mathematics focusing on the theory of local fields. It explores valuations, completions, and field extensions in algebraic number theory, offering rigorous treatment for advanced students and researchers in the field.
About This Book
Local Fields is part of the Graduate Texts in Mathematics series, volume 67, written by Jean-Pierre Serre. This book delves into the theory of local fields, a key area in algebraic number theory.
It covers essential concepts such as valuations, completions, and extensions of local fields, presented with mathematical precision suitable for graduate-level study.
The text serves as a standard reference for mathematicians exploring p-adic numbers and their applications in broader number theory contexts.
Serre's approach emphasizes clarity and depth, making complex topics accessible to those with a solid background in algebra.
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