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Book SerieshemCollected Volume

Nikolai I. Lobachevsky, Pangeometry

Editors

  • Athanase Papadopoulos

    IRMA, Strasbourg, France
  • Overview
  • Contents
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Nikolai I. Lobachevsky, Pangeometry cover
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  • pp. i–vii

    Frontmatter, Foreword

  • p. ix

    Contents

  • pp. x–xii

    On the present edition

  • p. 1

    I. Pangeometry

  • pp. 3–78

    English translation

  • pp. 79–143

    French original from 1856

  • pp. 145–202

    Russian original from 1855

  • p. 203

    II. Lobachevsky's biography

  • pp. 205–216

    Preface to Lobachevsky’s 1886 biography

  • pp. 217–225

    Lobachevsky’s biography (1886)

  • p. 227

    III. A commentary on Lobachevsky's Pangeometry

  • pp. 229–234

    Introduction

  • pp. 235–259

    On the content of Lobachevsky’s Pangeometry

  • pp. 260–279

    On hyperbolic geometry and its reception

  • pp. 280–284

    On models, and on model-free hyperbolic geometry

  • pp. 285–289

    A short list of references

  • pp. 290–298

    Some milestones for Lobachevsky’s works on geometry

  • pp. 299–310

    Bibliography

Dates

Published
1 December 2010

Identifiers

DOI
10.4171/087
ISBN print
978-3-03719-087-6
ISBN digital
978-3-03719-587-1

Keywords

  • Lobachevsky geometry
  • hyperbolic geometry
  • non-Euclidean geometry
  • pangeometry

Mathematics Subject Classification

  • 01-02
  • 51-02
  • 01A55
  • 51-01
  • 51-03
  • 53-02
  • 53-01
  • 53-03
  • 53A35

Print

Hardcover, 322 pages, 17cm x 24cm

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