Articles liés à Number Theory Volume II : Analytic and Modern Tools
Synopsis
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 first is the local aspect, the second is the 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, and embodies in a beautiful way the local and global aspects of Diophantine problems. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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-Verlag New York Inc.
- Date d'édition2007
- ISBN 10 0387498931
- ISBN 13 9780387498935
- ReliureRelié
- Langueanglais
- Nombre de pages596
- Coordonnées du fabricantnon disponible
Acheter neuf
Afficher cet article
EUR 53,45
EUR 11 expédition depuis Allemagne vers France
Destinations, frais et délais
Résultats de recherche pour Number Theory Volume II : Analytic and Modern Tools
Image fournie par le vendeur
Number Theory, Volume II : Analytic and Modern Tools (Graduate Texts in Mathematics) Volume II: Analytic and Modern Tools
Edité par
Springer 05.2007., 2007
ISBN 10 : 0387498931
ISBN 13 : 9780387498935
Ancien ou d'occasion
Couverture rigide
Vendeur : Antiquariat Jochen Mohr -Books and Mohr-, Oberthal, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
hardcover. Etat : Sehr gut. Auflage: 2007. 619 Seiten 9780387498935 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 1163. N° de réf. du vendeur 87929
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Number Theory, Volume 2
impression à la demandeVendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 596 pp. Englisch. N° de réf. du vendeur 9780387498935
Quantité disponible : 2 disponible(s)
Image d'archives
Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
Edité par
Springer (edition 2007), 2007
ISBN 10 : 0387498931
ISBN 13 : 9780387498935
Ancien ou d'occasion
Couverture rigide
Vendeur : BooksRun, Philadelphia, PA, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : Good. 2007. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported. N° de réf. du vendeur 0387498931-11-1
Quantité disponible : 1 disponible(s)
Image d'archives
Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. In English. N° de réf. du vendeur ria9780387498935_new
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Number Theory, Volume 2 : Analytic and Modern Tools
Edité par
Springer New York, 2007
ISBN 10 : 0387498931
ISBN 13 : 9780387498935
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 - 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 9780387498935
Quantité disponible : 2 disponible(s)
Image d'archives
Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
Vendeur : California Books, Miami, FL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur I-9780387498935
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Number Theory : Analytic and Modern Tools
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 5028297-n
Quantité disponible : Plus de 20 disponibles
Image d'archives
Number Theory: Volume II: Analytic and Modern Tools
Edité par
Springer-Verlag New York Inc., 2007
ISBN 10 : 0387498931
ISBN 13 : 9780387498935
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 1074. N° de réf. du vendeur C9780387498935
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Number Theory : Analytic and Modern Tools
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 5028297-n
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Number Theory, Volume 2: Analytic and Modern Tools
Edité par
Springer New York, 2007
ISBN 10 : 0387498931
ISBN 13 : 9780387498935
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. 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 so. N° de réf. du vendeur 458429806
Quantité disponible : Plus de 20 disponibles