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General Theory of Irregular Curves

  • Book
  • © 1989

Overview

Authors:
  1. A. D. Alexandrov

    1. Institute of Mathematics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk, Russia

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  2. Yu. G. Reshetnyak

    1. Institute of Mathematics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MASS, volume 29)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 1-4

  3. General Notion of a Curve

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 5-28

  4. Length of a Curve

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 29-42

  5. Tangent and the Class of One-Sidedly Smooth Curves

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 43-74

  6. Some Facts of Integral Geometry

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 75-117

  7. Turn or Integral Curvature of a Curve

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 118-174

  8. Theory of a Turn for Curves on an n-Dimensional Sphere

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 175-207

  9. Osculating Planes and Class of Curves with an Osculating Plane in the Strong Sense

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 208-216

  10. Torsion of a Curve in a Three-Dimensional Euclidean Space

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 217-267

  11. Frenet Formulas and Theorems on Natural Parametrization

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 268-280

  12. Some Additional Remarks

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 281-284

  13. Back Matter

    Pages 285-288
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Keywords

Authors and Affiliations

  • Institute of Mathematics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk, Russia

    A. D. Alexandrov, Yu. G. Reshetnyak

Bibliographic Information

  • Book Title: General Theory of Irregular Curves

  • Authors: A. D. Alexandrov, Yu. G. Reshetnyak

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-009-2591-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1989

  • Hardcover ISBN: 978-90-277-2811-1Published: 31 October 1989

  • Softcover ISBN: 978-94-010-7671-5Published: 26 September 2011

  • eBook ISBN: 978-94-009-2591-5Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: X, 288

  • Additional Information: Originally published in Russian

  • Topics: Analysis, Geometry

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