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Synopsis
As an interesting object of arithmetic, algebraic and analytic geometry the complex ball was born in a paper of the French Mathematician E. PICARD in 1883. In recent developments the ball finds great interest again in the framework of SHIMURA varieties but also in the theory of diophantine equations (asymptotic FERMAT Problem, see ch. VI). At first glance the original ideas and the advanced theories seem to be rather disconnected. With these lectures I try to build a bridge from the analytic origins to the actual research on effective problems of arithmetic algebraic geometry. The best motivation is HILBERT'S far-reaching program consisting of 23 prob- lems (Paris 1900) " . . . one should succeed in finding and discussing those functions which play the part for any algebraic number field corresponding to that of the exponential function in the field of rational numbers and of the elliptic modular functions in the imaginary quadratic number field". This message can be found in the 12-th problem "Extension of KRONECKER'S Theorem on Abelian Fields to Any Algebraic Realm of Rationality" standing in the middle of HILBERTS'S pro- gram. It is dedicated to the construction of number fields by means of special value of transcendental functions of several variables. The close connection with three other HILBERT problems will be explained together with corresponding advanced theories, which are necessary to find special effective solutions, namely: 7. Irrationality and Transcendence of Certain Numbers; 21.
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The ball and some Hilbert problems.
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Basel, Birkhäuser Verlag, 1995
ISBN 10 : 3764328355
ISBN 13 : 9783764328351
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Softcover. VI-160 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16794 9783764328351 Sprache: Englisch Gewicht in Gramm: 550. N° de réf. du vendeur 2480145
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Lectures in Mathematics: The Ball and some Hilbert Problems.
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Basel. Birkhäuser Verlag., 1995
ISBN 10 : 3764328355
ISBN 13 : 9783764328351
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kartoniert. Etat : Sehr gut. Zust: Gutes Exemplar. 160 Seiten, mit Abbildungen, Englisch 322g. N° de réf. du vendeur 494382
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The Ball and Some Hilbert Problems.
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Basel : Birkhäuser (Lectures in Mathematics ETH Zürich), 1995
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Etat : Gut. Formateinband: Broschierte Ausgabe VI, 160 S. (24 cm) 1. Aufl.; Gut und sauber erhalten. Sprache: Englisch Gewicht in Gramm: 450 [Stichwörter: David Hilbert, Algebraic Geometry, ; Global analysis; Number theory]. N° de réf. du vendeur 60008
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The Ball and Some Hilbert Problems
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Birkhäuser Basel, 1994
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THE BALL AND SOME HILBERT PROBLEMS (LECTURES IN MATHEMATICS, ETH ZÜRICH)
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Birkhäuser Verlag, Basel, 1995
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ISBN 13 : 9783764328351
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The Ball and Some Hilbert Problems
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Birkhäuser Basel, 1994
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ISBN 13 : 9783764328351
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. As an interesting object of arithmetic, algebraic and analytic geometry the complex ball was born in a paper of the French Mathematician E. PICARD in 1883. In recent developments the ball finds great interest again in the framework of SHIMURA varieties but . N° de réf. du vendeur 5279004
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The Ball and Some Hilbert Problems (Lectures in Mathematics. ETH Zürich)
Edité par
Birkhauser Verlag, 1995
ISBN 10 : 3764328355
ISBN 13 : 9783764328351
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The Ball and Some Hilbert Problems
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - As an interesting object of arithmetic, algebraic and analytic geometry the complex ball was born in a paper of the French Mathematician E. PICARD in 1883. In recent developments the ball finds great interest again in the framework of SHIMURA varieties but also in the theory of diophantine equations (asymptotic FERMAT Problem, see ch. VI). At first glance the original ideas and the advanced theories seem to be rather disconnected. With these lectures I try to build a bridge from the analytic origins to the actual research on effective problems of arithmetic algebraic geometry. The best motivation is HILBERT'S far-reaching program consisting of 23 prob lems (Paris 1900) ' . . . one should succeed in finding and discussing those functions which play the part for any algebraic number field corresponding to that of the exponential function in the field of rational numbers and of the elliptic modular functions in the imaginary quadratic number field'. This message can be found in the 12-th problem 'Extension of KRONECKER'S Theorem on Abelian Fields to Any Algebraic Realm of Rationality' standing in the middle of HILBERTS'S pro gram. It is dedicated to the construction of number fields by means of special value of transcendental functions of several variables. The close connection with three other HILBERT problems will be explained together with corresponding advanced theories, which are necessary to find special effective solutions, namely: 7. Irrationality and Transcendence of Certain Numbers; 21. N° de réf. du vendeur 9783764328351
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The Ball and Some Hilbert Problems (Lectures in Mathematics. ETH Zürich)
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The Ball and Some Hilbert Problems
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Birkhäuser Basel, Birkhäuser Basel Dez 1994, 1994
ISBN 10 : 3764328355
ISBN 13 : 9783764328351
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -As an interesting object of arithmetic, algebraic and analytic geometry the complex ball was born in a paper of the French Mathematician E. PICARD in 1883. In recent developments the ball finds great interest again in the framework of SHIMURA varieties but also in the theory of diophantine equations (asymptotic FERMAT Problem, see ch. VI). At first glance the original ideas and the advanced theories seem to be rather disconnected. With these lectures I try to build a bridge from the analytic origins to the actual research on effective problems of arithmetic algebraic geometry. The best motivation is HILBERT'S far-reaching program consisting of 23 prob lems (Paris 1900) ' . . . one should succeed in finding and discussing those functions which play the part for any algebraic number field corresponding to that of the exponential function in the field of rational numbers and of the elliptic modular functions in the imaginary quadratic number field'. This message can be found in the 12-th problem 'Extension of KRONECKER'S Theorem on Abelian Fields to Any Algebraic Realm of Rationality' standing in the middle of HILBERTS'S pro gram. It is dedicated to the construction of number fields by means of special value of transcendental functions of several variables. The close connection with three other HILBERT problems will be explained together with corresponding advanced theories, which are necessary to find special effective solutions, namely: 7. Irrationality and Transcendence of Certain Numbers; 21.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 172 pp. Englisch. N° de réf. du vendeur 9783764328351
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