Lectures on the Geometry of Numbers

ISBN-13: 9783642080760 / Angielski / Miękka / 2010 / 162 str.

Carl Ludwig Siegel; Komaravolu Chandrasekharan

Opis

Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.

Spis treści

I Minkowski’s Two Theorems.- Lecture I.- Lecture II.- Lecture III.- Lecture IV.- II Linear Inequalities.- Lecture V.- Lecture VI.- Lecture VII.- Lecture VIII.- Lecture IX.- III Theory of Reduction.- Lecture X.- Lecture XI.- Lecture XII.- Lecture XIII.- Lecture XIV.- Lecture XV.- References.