Verwandte Artikel zu Elliptic Curves: Diophantine Analysis: 231 (Grundlehren...
Elliptic Curves: Diophantine Analysis: 231 (Grundlehren der mathematischen Wissenschaften) - Hardcover
Inhaltsangabe
It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points.
Reseña del editor
This book takes the view that parallel to the pure arithmetic theory over number fields lies the algebraic-geometric theory of algebraic systems, where sections play the role of rational points. The author formulates analogs of classic diophantine problems.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Neu kaufen
Diesen Artikel anzeigen
EUR 92,27
Gratis für den Versand innerhalb von/der Deutschland
Versandziele, Kosten & DauerWeitere beliebte Ausgaben desselben Titels
Suchergebnisse für Elliptic Curves: Diophantine Analysis: 231 (Grundlehren...
Foto des Verkäufers
Elliptic Curves. Diophantine Analysis. (= Grundlehren der mathematischen Wissenschaften, Band 231).
Verlag:
Springer, Berlin, 1978
ISBN 10: 3540084894
ISBN 13: 9783540084891
Gebraucht
Hardcover
Erstausgabe
Anbieter: Antiquariat Deinbacher, Murstetten, Österreich
Verkäuferbewertung 4 von 5 Sternen
1.Auflage,. xi, 261 Seiten Einband etwas berieben, Bibl.Ex., innen guter und sauberer Zustand 9783540084891 Sprache: Englisch Gewicht in Gramm: 1250 8° , Leinen- Hardcover/Pappeinband. Bestandsnummer des Verkäufers 154312
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Elliptic Curves: Diophantine Analysis: 231 (Grundlehren der mathematischen Wissenschaften)
Anbieter: Fireside Bookshop, Stroud, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Good. Type: Book N.B. Heavy rubbing to bottom inch of spine. Two very small dents to bottom edge of boards. Bestandsnummer des Verkäufers 060400
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften)
Anbieter: Fireside Bookshop, Stroud, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Cloth. Zustand: Very Good. Type: Book N.B. Small plain label to ffep. (MATHEMATICS). Bestandsnummer des Verkäufers 300527
Anzahl: 1 verfügbar
Foto des Verkäufers
Elliptic Curves
Print-on-DemandAnbieter: moluna, Greven, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function. Bestandsnummer des Verkäufers 4880046
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Elliptic Curves
ISBN 10: 3540084894
ISBN 13: 9783540084891
Neu
Hardcover
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. Neuware -It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 280 pp. Englisch. Bestandsnummer des Verkäufers 9783540084891
Anzahl: 2 verfügbar
Foto des Verkäufers
Elliptic Curves : Diophantine Analysis
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points. Bestandsnummer des Verkäufers 9783540084891
Anzahl: 1 verfügbar
Foto des Verkäufers
Elliptic Curves
Verlag:
Springer Berlin Heidelberg Nov 1978, 1978
ISBN 10: 3540084894
ISBN 13: 9783540084891
Neu
Hardcover
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points. 280 pp. Englisch. Bestandsnummer des Verkäufers 9783540084891
Anzahl: 2 verfügbar
Beispielbild für diese ISBN
Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften, 231)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In. Bestandsnummer des Verkäufers ria9783540084891_new
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften, 231)
Anbieter: Best Price, Torrance, CA, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. SUPER FAST SHIPPING. Bestandsnummer des Verkäufers 9783540084891
Anzahl: 2 verfügbar
Beispielbild für diese ISBN
Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften, 231)
Anbieter: California Books, Miami, FL, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Bestandsnummer des Verkäufers I-9783540084891
Anzahl: Mehr als 20 verfügbar