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  • © 1989

General Theory of Irregular Curves

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

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 217-267
  10. Frenet Formulas and Theorems on Natural Parametrization

    • A. D. Alexandrov, Yu. G. Reshetnyak
    Pages 268-280
  11. Some Additional Remarks

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

    Pages 285-288

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

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access