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.M�ller - lila Logistik, Am Buchberg 8, 74572 Blaufelden 256 pp. Englisch.

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T�tulo: Lecture Notes on Diophantine Analysis
Editor: Scuola Normale Superiore M�r 2009
Fecha de publicaci�n: 2009
Idioma: Ingl�s
ISBN 10: 8876423419
ISBN 13: 9788876423413
Encuadernaci�n: Taschenbuch
Estado: Neu
Dimensiones: 240�mil�metros de ancho por 150 de alto por 15 de largo
Peso: 389 gramos

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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.

De la contraportada

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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