Articles liés à Algebraic Number Theory
Synopsis
This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory. Part II covers class field theory, and Part III is devoted to analytic methods, including an exposition of Tate's thesis, the Brauer-Siegel
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Présentation de l'éditeur
This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory. Part II covers class field theory, and Part III is devoted to analytic methods, including an exposition of Tate's thesis, the Brauer-Siegel theorem, and Weil's explicit formulas. This new edition contains corrections, as well as several additions to the previous edition, and the last chapter on explicit formulas has been rewritten.
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Algebraic Number Theory
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Springer New York, 1994
ISBN 10 : 0387942254
ISBN 13 : 9780387942254
Ancien ou d'occasion
Couverture rigide
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Etat : Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. N° de réf. du vendeur GRP94625855
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Algebraic Number Theory (Graduate Texts in Mathematics, 110, Band 110).
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Berlin. Springer Verlag., 1994
ISBN 10 : 0387942254
ISBN 13 : 9780387942254
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Karton
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Karton. Etat : Sehr gut. Zust: Gutes Exemplar. 357 Seiten, Englisch 710g. N° de réf. du vendeur 493911
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Algebraic Number Theory (Graduate Texts in Mathematics, 110)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In English. N° de réf. du vendeur ria9780387942254_new
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Algebraic Number Theory
Edité par
Springer New York Jun 1994, 1994
ISBN 10 : 0387942254
ISBN 13 : 9780387942254
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms.'Lang's books are always of great value for the graduate student and the research mathematician. This updated edition of Algebraic number theory is no exception.'--MATHEMATICAL REVIEWS 376 pp. Englisch. N° de réf. du vendeur 9780387942254
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Algebraic Number Theory
Edité par
Springer New York, Springer US Jun 1994, 1994
ISBN 10 : 0387942254
ISBN 13 : 9780387942254
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which 1 make further comments at the appropriate place later. For different points of view, the reader is encouraged to read the collec tion of papers from the Brighton Symposium (edited by Cassels-Frohlich), the Artin-Tate notes on class field theory, Weil's book on Basic Number Theory, Borevich-Shafarevich's Number Theory, and also older books like those of W eber, Hasse, Hecke, and Hilbert's Zahlbericht. It seems that over the years, everything that has been done has proved useful, theo retically or as examples, for the further development of the theory. Old, and seemingly isolated special cases have continuously acquired renewed significance, often after half a century or more. The point of view taken here is principally global, and we deal with local fields only incidentally. For a more complete treatment of these, cf. Serre's book Corps Locaux. There is much to be said for a direct global approach to number fields. Stylistically, 1 have intermingled the ideal and idelic approaches without prejudice for either. 1 also include two proofs of the functional equation for the zeta function, to acquaint the reader with different techniques (in some sense equivalent, but in another sense, suggestive of very different moods).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 376 pp. Englisch. N° de réf. du vendeur 9780387942254
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Algebraic Number Theory
Edité par
Springer New York, Springer US, 1994
ISBN 10 : 0387942254
ISBN 13 : 9780387942254
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which 1 make further comments at the appropriate place later. For different points of view, the reader is encouraged to read the collec tion of papers from the Brighton Symposium (edited by Cassels-Frohlich), the Artin-Tate notes on class field theory, Weil's book on Basic Number Theory, Borevich-Shafarevich's Number Theory, and also older books like those of W eber, Hasse, Hecke, and Hilbert's Zahlbericht. It seems that over the years, everything that has been done has proved useful, theo retically or as examples, for the further development of the theory. Old, and seemingly isolated special cases have continuously acquired renewed significance, often after half a century or more. The point of view taken here is principally global, and we deal with local fields only incidentally. For a more complete treatment of these, cf. Serre's book Corps Locaux. There is much to be said for a direct global approach to number fields. Stylistically, 1 have intermingled the ideal and idelic approaches without prejudice for either. 1 also include two proofs of the functional equation for the zeta function, to acquaint the reader with different techniques (in some sense equivalent, but in another sense, suggestive of very different moods). N° de réf. du vendeur 9780387942254
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Algebraic Number Theory (Graduate Texts in Mathematics)
Edité par
Springer, 2000
ISBN 10 : 0387942254
ISBN 13 : 9780387942254
Ancien ou d'occasion
Couverture rigide
Vendeur : Moe's Books, Berkeley, CA, Etats-Unis
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Hard Cover. Etat : Good. No Jacket. Spine is tight. Cover is lightly worn, particularly along edges. Back cover is rubbed, but legibility is not affected. Fore and bottom edges are stained, but readability is not impacted. Inside is marked in blue and red pen. N° de réf. du vendeur 1112292
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Algebraic Number Theory
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Etat : New. N° de réf. du vendeur 1798859-n
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Algebraic Number Theory
Edité par
Springer-Verlag New York Inc., US, 1994
ISBN 10 : 0387942254
ISBN 13 : 9780387942254
Neuf
Couverture rigide
Vendeur : Rarewaves.com UK, London, Royaume-Uni
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Hardback. Etat : New. 2nd ed. 1994. The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which 1 make further comments at the appropriate place later. For different points of view, the reader is encouraged to read the collec tion of papers from the Brighton Symposium (edited by Cassels-Frohlich), the Artin-Tate notes on class field theory, Weil's book on Basic Number Theory, Borevich-Shafarevich's Number Theory, and also older books like those of W eber, Hasse, Hecke, and Hilbert's Zahlbericht. It seems that over the years, everything that has been done has proved useful, theo retically or as examples, for the further development of the theory. Old, and seemingly isolated special cases have continuously acquired renewed significance, often after half a century or more. The point of view taken here is principally global, and we deal with local fields only incidentally. For a more complete treatment of these, cf. Serre's book Corps Locaux. There is much to be said for a direct global approach to number fields. Stylistically, 1 have intermingled the ideal and idelic approaches without prejudice for either. 1 also include two proofs of the functional equation for the zeta function, to acquaint the reader with different techniques (in some sense equivalent, but in another sense, suggestive of very different moods). N° de réf. du vendeur LU-9780387942254
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Algebraic Number Theory
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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