Lectures on the Geometry of Numbers / Edition 1

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Overview

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.

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Editorial Reviews

Booknews
Makes available to the generality of mature mathematical readers the carefully checked, corrected and rewritten text of fifteen lectures presented by Carl Siegel at NYU during 1945/46. The editorial work was done with the explicit permission of Siegel (who died in 1981). Will be valued by experts as a work of art from the hands of a master. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9783540506294
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 10/24/1989
  • Edition description: 1989
  • Edition number: 1
  • Pages: 162
  • Product dimensions: 0.50 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

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.

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