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This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fun

A self-contained exposition of local class field theory for students in advanced algebra.

This readable introduction to local class field theory, a theory of algebraic extensions, covers such topics as abelian extensions. Almost self-contained, the b

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and grad

First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of produci