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Encyclopaedia of Mathematical Sciences Geometry

Geometry III

Theory of Surfaces

Editors: Burago, Yu.D., Zalgaller, V.A. (Eds.)

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About this book

The original version of this article was written more than fiveyears ago with S. Z. Shefel',a profound and original mathematician who died in 1984. Sincethen the geometry of surfaces has continued to be enriched with ideas and results. This has required changes and additions, but has not influenced the character of the article, the design ofwhich originated with Shefel'. Without knowing to what extent Shefel' would have approved the changes, I should nevertheless like to dedicate this article to his memory. (Yu. D. Burago) We are trying to state the qualitative questions of the theory of surfaces in Euclidean spaces in the form in which they appear to the authors at present. This description does not entirely correspond to the historical development of the subject. The theory of surfaces was developed in the first place mainly as the 3 theory of surfaces in three-dimensional Euclidean space E ; however, it makes sense to begin by considering surfaces F in Euclidean spaces of any dimension n~ 3. This approach enables us, in particular, to put in a new light some 3 unsolved problems of this developed (and in the case of surfaces in E fairly complete) theory, and in many cases to refer to the connections with the present stage ofdevelopment of the theory of multidimensional submanifolds. The leading question of the article is the problem of the connection between classes of metrics and classes of surfaces in En.

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-662-02751-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-540-53377-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $149.99
price for USA in USD
  • ISBN 978-3-642-08102-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Geometry III
Book Subtitle
Theory of Surfaces
Editors
  • Yu.D. Burago
  • V.A. Zalgaller
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
48
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-02751-6
DOI
10.1007/978-3-662-02751-6
Hardcover ISBN
978-3-540-53377-1
Softcover ISBN
978-3-642-08102-6
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VIII, 258
Additional Information
Original Russian edition published by Publisher VINITI, Moscow, 1989
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