Articles liés à Number Theory: Volume II: Analytic and Modern Tools
Présentation de l'éditeur
This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer
- Date d'édition2010
- ISBN 10 1441923888
- ISBN 13 9781441923882
- ReliureBroché
- Langueanglais
- Nombre de pages628
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Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
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Number Theory : Analytic and Modern Tools
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Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
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Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
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Number Theory
Edité par
Springer New York Nov 2010, 2010
ISBN 10 : 1441923888
ISBN 13 : 9781441923882
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book deals with several aspects of what is now called 'explicit number theory.' The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject. 628 pp. Englisch. N° de réf. du vendeur 9781441923882
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Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Number Theory : Analytic and Modern Tools
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Number Theory: Volume II: Analytic and Modern Tools
Edité par
Springer-Verlag New York Inc., 2010
ISBN 10 : 1441923888
ISBN 13 : 9781441923882
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 898. N° de réf. du vendeur C9781441923882
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Number Theory : Volume II: Analytic and Modern Tools
Edité par
Springer New York, Springer US, 2010
ISBN 10 : 1441923888
ISBN 13 : 9781441923882
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three aspects. The first is the local aspect: one can do analysis in p-adic fields, and here the author starts by looking at solutions in finite fields, then proceeds to lift these solutions to local solutions using Hensel lifting. The second is the global aspect: the use of number fields, and in particular of class groups and unit groups. This classical subject is here illustrated through a wide range of examples. The third aspect deals with specific classes of equations, and in particular the general and Diophantine study of elliptic curves, including 2 and 3-descent and the Heegner point method. These subjects form the first two parts, forming Volume I. The study of Bernoulli numbers, the gamma function, and zeta and L-functions, and of p-adic analogues is treated at length in the third part of the book, including many interesting and original applications. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five chapters on these techniques forming the fourth part, which together with the third part forms Volume II. These chapters were written by Yann Bugeaud, Guillaume Hanrot, Maurice Mignotte, Sylvain Duquesne, Samir Siksek, and the author, and contain material on the use of Galois representations, points on higher-genus curves, the superfermat equation, Mihailescu's proof of Catalan's Conjecture, and applications of linear forms in logarithms. The book contains 530 exercises of varying difficulty from immediate consequences of the main text to research problems, and contain many important additional results. N° de réf. du vendeur 9781441923882
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Number Theory
Edité par
Springer New York, 2010
ISBN 10 : 1441923888
ISBN 13 : 9781441923882
Neuf
Kartoniert / Broschiert
Vendeur : moluna, Greven, Allemagne
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique collection of topics centered around a unifying topicMore than 350 exercisesText is largely self-containedThis book deals with several aspects of what is now called explicit number theory. The central theme is the soluti. N° de réf. du vendeur 4172904
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