Lecture Notes on Diophantine Analysis

Umberto Zannier

ISBN 10: 8876423419 / ISBN 13: 9788876423413

Published by Scuola Normale Superiore, 2009

About this Item

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

Bibliographic Details

• Title: Lecture Notes on Diophantine Analysis
• Publisher: Scuola Normale Superiore
• Publication Date: 2009
• Language: English
• ISBN 10: 8876423419
• ISBN 13: 9788876423413
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 150H x 15D millimeters 240 millimeters width by 150 millimeters height by 15 millimeters depth
• Weight: 389 grams

About this title

Synopsis

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.

From the Back Cover

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.