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These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. It examines diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables.
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These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several Supplements, hinted exercises and an Appendix on recent work on heights.
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“This set of lectures originates from an introductory course given by the author at the Scuola Normale Superiore Pisa in 2006-2007 on Diophantine analysis. ... provide a lot of further information on these topics, including recent developments and open problem. Hence this booklet starts at an elementary level ... and reaches the limit of our current knowledge on all these topics. ... a useful addition to the literature on this fashionable topic, both for the beginner and for the researcher.” (Michel Waldschmidt, Zentralblatt MATH, Vol. 1186, 2010)"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2009
- ISBN 10 8876423419
- ISBN 13 9788876423413
- BindingPaperback
- Number of pages255
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Lecture Notes on Diophantine Analysis. Lecture Notes (Scuola Normale Superiore)
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Lecture Notes on Diophantine Analysis (Publications of the Scuola Normale Superiore, 8) [Paperback] Zannier, Umberto and Amoroso, Francesco (eng)
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Lecture Notes On Diophantine Analysis
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Lecture Notes on Diophantine Analysis
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights. 256 pp. Englisch. Seller Inventory # 9788876423413
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Lecture Notes on Diophantine Analysis
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Book Description Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights. Seller Inventory # 9788876423413
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