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Lectures on the geometry of numbers

By: Contributor(s): Material type: TextTextLanguage: English Publication details: New York Springer-Verlag 1989Description: x, 160p. illISBN:
  • 0387506292 (HB)
Subject(s):
Contents:
Chapter I. Minkowski's Two Theorems Chapter II. Linear Inequalities Chapter III. Theory of Reduction
Summary: 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.
Item type: BOOKS
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IMSc Library 512.7 SIE (Browse shelf(Opens below)) Available 26858

Notes by B. Friedman

Includes index.

Includes bibliography (p. 155-156) and references.

Chapter I. Minkowski's Two Theorems
Chapter II. Linear Inequalities
Chapter III. Theory of Reduction

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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