Lecture Notes on Diophantine Analysis

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

出版者:Scuola Normale Superiore
作者:Zannier, Umberto
出品人:
页数:253
译者:
出版时间:2009-3
价格:$ 39.49
装帧:
isbn号码:9788876423413
丛书系列:
图书标签:
  • 数论 
  • 丢番图分析 
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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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