Algebraic Number Fields

Gerald J. Janusz

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Language: English

Published by American Mathematical Society, US, 1995

0821804294 / 9780821804292

Series: Book 57 of 190 - Graduate Studies in Mathematics

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Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK

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The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in number fields, such the arithmetic of fields, Dedekind domains, and valuations. The next two chapters discuss class field theory for number fields. The concluding chapter serves as an illustration of the concepts introduced in previous chapters.In particular, some interesting calculations with quadratic fields show the use of the norm residue symbol. For the second edition the author added some new material, expanded many proofs, and corrected errors found in the first edition. The main objective, however, remains the same as it was for the first edition: to give an exposition of the introductory material and the main theorems about class fields of algebraic number fields that would require as little background preparation as possible. Janusz's book can be an excellent textbook for a year-long course in algebraic number theory; the first three chapters would be suitable for a one-semester course. It is also very suitable for independent study. …

Seller Inventory # LU-9780821804292

Title
Algebraic Number Fields
Author
Gerald J. Janusz
Publisher
American Mathematical Society, US
Publication year
1995
Condition
New
Binding
Hardback
Language
English
ISBN 10
0821804294
ISBN 13
9780821804292
Edition
Second Edition.
Item weight
660 grams
Dimensions
18.42 x 1.91 x 26.67 cm
Series
Book 57 of 190: Graduate Studies in Mathematics

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