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Pages: 831
Authors: Jürgen Neukirch
Categories: Mathematics
Type: BOOK - Published: 2013-09-26 - Publisher: Springer Science & Business Media

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This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician,
Galois Cohomology and Class Field Theory
Language: en
Pages: 336
Authors: David Harari
Categories: Mathematics
Type: BOOK - Published: 2020-06-24 - Publisher: Springer Nature

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This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well
Local Fields
Language: en
Pages: 249
Authors: Jean-Pierre Serre
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed
Galois Theory of p-Extensions
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Pages: 196
Authors: Helmut Koch
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Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. T
Commutative Algebra
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Authors: David Eisenbud
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This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutio