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Algebraic Number Fields (Graduate Studies in Mathematics, V. 7) (2nd ed) GSM/7
Gerald J. Janusz
€ 148.12
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Description for Algebraic Number Fields (Graduate Studies in Mathematics, V. 7) (2nd ed) GSM/7
Hardcover. Presents main theorems about class fields of algebraic number fields. This book features calculations with quadratic fields that show the use of the norm residue symbol. Series: Graduate Studies in Mathematics. Num Pages: 276 pages. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 230. Weight in Grams: 704.
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.
Product Details
Format
Hardback
Publication date
2005
Publisher
American Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
276
Place of Publication
Providence, United States
ISBN
9780821804292
SKU
V9780821804292
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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