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Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs) - Hardcover
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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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Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs)
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American Mathematical Society, 2002
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ISBN 13: 9780821832592
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Local Fields and Their Extensions : A Constructive Approach
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Local Fields and Their Extensions A Constructive Approach
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Hardcover. Zustand: Brand New. 2nd edition. 345 pages. 10.00x7.00x1.00 inches. In Stock. Bestandsnummer des Verkäufers __082183259X
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Local Fields and Their Extensions
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American Mathematical Society, US, 2002
ISBN 10: 082183259X
ISBN 13: 9780821832592
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Hardback. Zustand: 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. Bestandsnummer des Verkäufers LU-9780821832592
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Local Fields and Their Extensions (Translations of Mathematical Monographs, Vol. 121)
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Local Fields and Their Extensions
Verlag:
American Mathematical Society, US, 2002
ISBN 10: 082183259X
ISBN 13: 9780821832592
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Hardback. Zustand: 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. Bestandsnummer des Verkäufers LU-9780821832592
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Local Fields and Their Extensions (Translations of Mathematical Monographs, Vol. 121)
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American Mathematical Society, 2002
ISBN 10: 082183259X
ISBN 13: 9780821832592
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Zustand: 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. Bestandsnummer des Verkäufers V9780821832592
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Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs) Vostokov S., V. und B. Fesenko I.
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American Mathematical Society, 2002
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Zustand: gut. 2002. Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs) In englischer Sprache. pages. Bestandsnummer des Verkäufers BN337527
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Local Fields and Their Extensions (Translations of Mathematical Monographs, Vol. 121)
Verlag:
American Mathematical Society, 2002
ISBN 10: 082183259X
ISBN 13: 9780821832592
Neu
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Zustand: 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. . . . . Bestandsnummer des Verkäufers V9780821832592
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