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Lectures on the Geometry of Numbers

  • Book
  • © 1989

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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.

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Table of contents (15 chapters)

  1. Minkowski’s Two Theorems

  2. Linear Inequalities

  3. Theory of Reduction

Authors and Affiliations

  • Mathematik, ETH Zürich, Zürich, Switzerland

    Komaravolu Chandrasekharan

Accessibility Information

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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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