Lecture Notes on Diophantine Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Zannier, Umberto 作者

Scuola Normale Superiore

译者

2009-3 出版日期

253 页数

$ 39.49 价格

丛书系列

9788876423413 图书编码

Lecture Notes on Diophantine Analysis 在线电子书图书标签: 数论丢番图分析

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Lecture Notes on Diophantine Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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This work contains lecture notes that originated 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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