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Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften, 231) - Hardcover
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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.
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Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften, 231)
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Elliptic Curves. Diophantine Analysis. (= Grundlehren der mathematischen Wissenschaften, Band 231).
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Springer, Berlin, 1978
ISBN 10: 3540084894
ISBN 13: 9783540084891
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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. Seller Inventory # 154312
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Elliptic Curves. Diophantine Analysis. (= Grundlehren der mathematischen Wissenschaften - Band 231).
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Springer, Berlin, Heidelberg, New York, 1978
ISBN 10: 3540084894
ISBN 13: 9783540084891
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XI, 261 pp. with some Figures, 3540084894 Sprache: Englisch Gewicht in Gramm: 560 Groß 8°, Original-Pappband (Hardcover), Bibliotheks-Exemplar (ordnungsgemäß entwidmet) mit Rückenschild, Stempel auf Titel und Schnitt, insgesamt gutes und innen sauberes Exemplar, (library copy in good condition), Seller Inventory # 126005
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Elliptic Curves: Diophantine Analysis: 231 (Grundlehren der mathematischen Wissenschaften)
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Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften)
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Elliptic Curves : Diophantine Analysis
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Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften, 231)
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Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften, 231)
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Elliptic Curves (Hardcover)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1978
ISBN 10: 3540084894
ISBN 13: 9783540084891
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540084891
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