This text presents the basic information about finite dimensional extension fields of the rational numbers, algebraic number fields, and the rings of algebraic integers in them. The important theorems regarding the units of the ring of integers and the class group are proved and illustrated with many examples given in detail. The completion of an algebraic number field at a valuation is discussed in detail and then used to provide economical proofs of global results. The book contains many concrete examples illustrating the ...
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This text presents the basic information about finite dimensional extension fields of the rational numbers, algebraic number fields, and the rings of algebraic integers in them. The important theorems regarding the units of the ring of integers and the class group are proved and illustrated with many examples given in detail. The completion of an algebraic number field at a valuation is discussed in detail and then used to provide economical proofs of global results. The book contains many concrete examples illustrating the computation of class groups, class numbers, and Hilbert class fields. Exercises are provided to indicate applications of the general theory.
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Add this copy of Algebraic Number Fields to cart. $96.37, new condition, Sold by Media Smart rated 3.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 1996 by American Mathematical Society.
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New. Sewn binding. Cloth over boards. 276 p. Advances in the Mathematical Sciences, 7. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Algebraic Number Fields (Graduate Studies in to cart. $115.15, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 2005 by American Mathematical Society.
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New. 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. 2005. 2nd. Hardcover.....We ship daily from our Bookshop.
Add this copy of Algebraic Number Fields (Graduate Studies in to cart. $119.74, new condition, Sold by Just one more Chapter rated 4.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2005 by American Mathematical Society.
Add this copy of Algebraic Number Fields (Graduate Studies in to cart. $122.25, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2005 by American Mathematical Society.
