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Lectures on the Geometry of Numbers

  • Book
  • © 1989

Overview

Authors:
  1. Carl Ludwig Siegel
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  2. Komaravolu Chandrasekharan

    1. Mathematik, ETH Zürich, Zürich, Switzerland

    View author publications

    You can also search for this author in PubMed   Google Scholar

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-X
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  2. Minkowski’s Two Theorems

    1. Front Matter

      Pages 1-1
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    2. Lecture I

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 3-11

    3. Lecture II

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 12-24

    4. Lecture III

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 25-32

    5. Lecture IV

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 33-40

  3. Linear Inequalities

    1. Front Matter

      Pages 41-41
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    2. Lecture V

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 43-52

    3. Lecture VI

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 53-63

    4. Lecture VII

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 64-71

    5. Lecture VIII

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 72-80

    6. Lecture IX

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 81-92

  4. Theory of Reduction

    1. Front Matter

      Pages 93-93
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    2. Lecture X

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 95-105

    3. Lecture XI

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 106-117

    4. Lecture XII

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 118-126

    5. Lecture XIII

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 127-137

    6. Lecture XIV

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 138-144

    7. Lecture XV

      • Carl Ludwig Siegel, Komaravolu Chandrasekharan
      Pages 145-154

  5. Back Matter

    Pages 155-162
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Keywords

About this book

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.

Authors and Affiliations

  • Mathematik, ETH Zürich, Zürich, Switzerland

    Komaravolu Chandrasekharan

Bibliographic Information

  • Book Title: Lectures on the Geometry of Numbers

  • Authors: Carl Ludwig Siegel, Komaravolu Chandrasekharan

  • DOI: https://doi.org/10.1007/978-3-662-08287-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Hardcover ISBN: 978-3-540-50629-4Published: 16 November 1989

  • Softcover ISBN: 978-3-642-08076-0Published: 01 December 2010

  • eBook ISBN: 978-3-662-08287-4Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: X, 162

  • Topics: Number Theory

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