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Encyclopedia of Analytical Surfaces

  • Book
  • © 2015

Overview

Authors:
  1. S.N. Krivoshapko

    1. Department of Strength of Materials and Structures, Peoples’ Friendship University of Russia, Moscow, Russia

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  2. V.N. Ivanov

    1. Department of Strength of Materials and Structures, Peoples’ Friendship University of Russia, Moscow, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Presents an all-embracing collection of analytical surface classes

  • Comprises over 500 surfaces incorporating 38 classes of analytical surfaces

  • Offers a valuable reference for structural and civil engineers and mathematicians

  • Includes cross references to the original literature in an excellent bibliography

  • Includes supplementary material: sn.pub/extras

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Table of contents (38 chapters)

  1. Front Matter

    Pages i-xxix
    Download chapter PDF

  2. Ruled Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 1-98

  3. Surfaces of Revolution

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 99-158

  4. Translation Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 159-183

  5. Carved Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 185-206

  6. Surfaces of Congruent Sections

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 207-212

  7. Continuous Topographic and Topographic Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 213-223

  8. Helical Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 225-258

  9. Spiral Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 259-273

  10. Spiral-Shaped Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 275-291

  11. Helix-Shaped Surface

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 293-314

  12. Blutel Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 315-315

  13. Veronese Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 317-317

  14. Tzitzéica Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 319-323

  15. Peterson Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 325-326

  16. Surfaces of Bézier

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 327-329

  17. Quasi-ellipsoidal Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 331-337

  18. Cyclic Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 339-415

  19. One-Sided Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 417-426

  20. Minimal Surfaces

    • S. N. Krivoshapko, V. N. Ivanov
    Pages 427-457
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Keywords

About this book

This encyclopedia presents an all-embracing collection of analytical surface classes. It provides concise definitions and description for more than 500 surfaces and categorizes them in 38 classes of analytical surfaces. All classes are cross references to the original literature in an excellent bibliography.
The encyclopedia is of particular interest to structural and civil engineers and serves as valuable reference for mathematicians.

Reviews

“The book under review is an encyclopedic publication about analytical and differential geometry of regular analytic surfaces, which found application in various branches of mathematics, engineering and construction. … The book is intended for geometers, architects, builders and professionals dealing not only with geometry, but also people interested in fluid mechanics, optics and others. It will be useful to university teachers, school teachers, graduate students and students.” (Ivailo Mladenov, zbMATH 1321.53001, 2015)

Authors and Affiliations

  • Department of Strength of Materials and Structures, Peoples’ Friendship University of Russia, Moscow, Russia

    S.N. Krivoshapko, V.N. Ivanov

About the authors

Vyacheslav Ivanov and Sergey Krivoshapko are both Doctor of Technical Sciences, and Professor at Peoples’ Friendship University of Russia, Moscow.

Bibliographic Information

  • Book Title: Encyclopedia of Analytical Surfaces

  • Authors: S.N. Krivoshapko, V.N. Ivanov

  • DOI: https://doi.org/10.1007/978-3-319-11773-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-11772-0Published: 09 March 2015

  • Softcover ISBN: 978-3-319-35657-0Published: 06 October 2016

  • eBook ISBN: 978-3-319-11773-7Published: 25 February 2015

  • Edition Number: 1

  • Number of Pages: XXIX, 752

  • Number of Illustrations: 1321 b/w illustrations

  • Additional Information: Original Russian edition published by URSS/Librokom, 2010

  • Topics: Solid Mechanics, Algebraic Geometry, Building Construction and Design

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