Articles liés à Classical Theory of Algebraic Numbers
Synopsis
After a brief introduction reviewing the concepts of principal ideal domains and commutative fields, the book discusses residue classes (for example, the integers mog=dulo some number m); quadratic residues; algebraic integers (that is, objects that behave like integers in arbitrary algebraic structures), their discriminant; decomposition, norm, and classes of ideals; the ramification index; and the fundamental theorem of Abelian extensions. The theorems and definitions are carefully motivated, and the author frequently stops to explain how things fit together and what will come next. There are a great many exercises and many useful examples at a
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Classical Theory of Algebraic Numbers
Edité par
Springer New York, 2001
ISBN 10 : 0387950702
ISBN 13 : 9780387950709
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
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Etat : Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 713310/1
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Classical Theory of Algebraic Numbers (Universitext)
Edité par
Springer, 2001
ISBN 10 : 0387950702
ISBN 13 : 9780387950709
Ancien ou d'occasion
Couverture rigide
Vendeur : WorldofBooks, Goring-By-Sea, WS, Royaume-Uni
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Hardback. Etat : Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. N° de réf. du vendeur GOR014293714
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Classical Theory of Algebraic Numbers
Edité par
Springer New York, 2001
ISBN 10 : 0387950702
ISBN 13 : 9780387950709
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning o. N° de réf. du vendeur 5912320
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Classical Theory of Algebraic Numbers
Edité par
Springer New York Mrz 2001, 2001
ISBN 10 : 0387950702
ISBN 13 : 9780387950709
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 -The exposition of the classical theory of algebraic numbers is clear and thorough, and there isa large number of exercises as well as worked out numerical examples.A careful study of this book will provide a solid background to the learning of more recent topics. 712 pp. Englisch. N° de réf. du vendeur 9780387950709
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Classical Theory of Algebraic Numbers
Edité par
Springer New York, Springer US Mär 2001, 2001
ISBN 10 : 0387950702
ISBN 13 : 9780387950709
Neuf
Buch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -Gauss created the theory of binary quadratic forms in 'Disquisitiones Arithmeticae' and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem. These were the starting points for the theory of algebraic numbers, developed in the classical papers of Dedekind, Dirichlet, Eisenstein, Hermite and many others. This theory, enriched with more recent contributions, is of basic importance in the study of diophantine equations and arithmetic algebraic geometry, including methods in cryptography. This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The Introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part One is devoted to residue classes and quadratic residues. In Part Two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. Part Three is devoted to Kummer's theory of cyclomatic fields, and includes Bernoulli numbers and the proof of Fermat's Last Theorem for regular prime exponents. Finally, in Part Four, the emphasis is on analytical methods and it includes Dinchlet's Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 712 pp. Englisch. N° de réf. du vendeur 9780387950709
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Classical Theory of Algebraic Numbers (Universitext)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9780387950709
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Classical Theory of Algebraic Numbers (Universitext)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9780387950709_new
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Classical Theory of Algebraic Numbers
Edité par
Springer New York, Springer US, 2001
ISBN 10 : 0387950702
ISBN 13 : 9780387950709
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Gauss created the theory of binary quadratic forms in 'Disquisitiones Arithmeticae' and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem. These were the starting points for the theory of algebraic numbers, developed in the classical papers of Dedekind, Dirichlet, Eisenstein, Hermite and many others. This theory, enriched with more recent contributions, is of basic importance in the study of diophantine equations and arithmetic algebraic geometry, including methods in cryptography. This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The Introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part One is devoted to residue classes and quadratic residues. In Part Two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. Part Three is devoted to Kummer's theory of cyclomatic fields, and includes Bernoulli numbers and the proof of Fermat's Last Theorem for regular prime exponents. Finally, in Part Four, the emphasis is on analytical methods and it includes Dinchlet's Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics. N° de réf. du vendeur 9780387950709
Quantité disponible : 1 disponible(s)
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Classical Theory of Algebraic Numbers
Edité par
Springer-Verlag New York Inc., 2001
ISBN 10 : 0387950702
ISBN 13 : 9780387950709
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1201. N° de réf. du vendeur C9780387950709
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Classical Theory of Algebraic Numbers
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 716 2nd Edition. N° de réf. du vendeur 26286944
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