This mathematical monograph explores the arithmetical properties of complete discrete valuation fields with perfect residue fields. The authors cover elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairings, and Milnor K -groups of local fields. The material requires basic understanding of Galois theory and number theory. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Da: Studibuch, Stuttgart, Germania
hardcover. Condizione: Sehr gut. 345 Seiten; 9780821832592.2 Gewicht in Gramm: 1. Codice articolo 1111770
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Da: Better World Books, Mishawaka, IN, U.S.A.
Condizione: Good. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo 57877030-6
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Da: Revaluation Books, Exeter, Regno Unito
Hardcover. Condizione: Brand New. 2nd edition. 345 pages. 10.00x7.00x1.00 inches. In Stock. Codice articolo __082183259X
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Da: Rarewaves.com USA, London, LONDO, Regno Unito
Hardback. Condizione: New. This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years since the publication of the first edition, and, according to ""Mathematical Reviews"", 1,000 papers on local fields have been published during that period. This edition incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor $K$-groups of fields and of local fields.The first three parts essentially simplify, revise, and update the first edition. The book includes the following recent topics: Fontaine-Wintenberger theory of arithmetically profinite extensions and fields of norms, explicit noncohomological approach to the reciprocity map with a review of all other approaches to local class field theory, Fesenko's $p$-class field theory for local fields with perfect residue field, simplified updated presentation of Vostokov's explicit formulas for the Hilbert norm residue symbol, and Milnor $K$-groups of local fields. Numerous exercises introduce the reader to other important recent results in local number theory, and an extensive bibliography provides a guide to related areas. The book is designed for graduate students and research mathematicians interested in local number theory and its applications in arithmetic algebraic geometry. Codice articolo LU-9780821832592
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Da: Ria Christie Collections, Uxbridge, Regno Unito
Condizione: New. In English. Codice articolo ria9780821832592_new
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Da: Rarewaves.com UK, London, Regno Unito
Hardback. Condizione: New. This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years since the publication of the first edition, and, according to ""Mathematical Reviews"", 1,000 papers on local fields have been published during that period. This edition incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor $K$-groups of fields and of local fields.The first three parts essentially simplify, revise, and update the first edition. The book includes the following recent topics: Fontaine-Wintenberger theory of arithmetically profinite extensions and fields of norms, explicit noncohomological approach to the reciprocity map with a review of all other approaches to local class field theory, Fesenko's $p$-class field theory for local fields with perfect residue field, simplified updated presentation of Vostokov's explicit formulas for the Hilbert norm residue symbol, and Milnor $K$-groups of local fields. Numerous exercises introduce the reader to other important recent results in local number theory, and an extensive bibliography provides a guide to related areas. The book is designed for graduate students and research mathematicians interested in local number theory and its applications in arithmetic algebraic geometry. Codice articolo LU-9780821832592
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Da: Kennys Bookstore, Olney, MD, U.S.A.
Condizione: New. Offers an exposition of the arithmetical properties of local fields using constructive tools and methods. This book consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor $K$-groups of fields and of local fields. Series: Translations of Mathematical Monographs Reprint. Num Pages: 345 pages, Illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 833. . 2002. 2nd Edition. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821832592
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Da: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, Germania
Condizione: gut. 2002. Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs) In englischer Sprache. pages. Codice articolo BN337527
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Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Condizione: New. Offers an exposition of the arithmetical properties of local fields using constructive tools and methods. This book consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor $K$-groups of fields and of local fields. Series: Translations of Mathematical Monographs Reprint. Num Pages: 345 pages, Illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 833. . 2002. 2nd Edition. Hardcover. . . . . Codice articolo V9780821832592
Quantità: 1 disponibili