The Resource Differential Geometry of Curves and Surfaces : A Concise Guide, by Victor Andreevich Toponogov, (electronic resource)

Differential Geometry of Curves and Surfaces : A Concise Guide, by Victor Andreevich Toponogov, (electronic resource)

Label
Differential Geometry of Curves and Surfaces : A Concise Guide
Title
Differential Geometry of Curves and Surfaces
Title remainder
A Concise Guide
Statement of responsibility
by Victor Andreevich Toponogov
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The study of curves and surfaces forms an important part of classical differential geometry. Differential Geometry of Curves and Surfaces: A Concise Guide presents traditional material in this field along with important ideas of Riemannian geometry. The reader is introduced to curves, then to surfaces, and finally to more complex topics. Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels. Key topics and features: * Covers central concepts including curves, surfaces, geodesics, and intrinsic geometry * Substantive material on the Aleksandrov global angle comparison theorem, which the author generalized for Riemannian manifolds (a result now known as the celebrated Toponogov Comparison Theorem, one of the cornerstones of modern Riemannian geometry) * Contains many nontrivial and original problems, some with hints and solutions This rigorous exposition, with well-motivated topics, is ideal for advanced undergraduate and first-year graduate students seeking to enter the fascinating world of geometry
http://library.link/vocab/creatorName
Toponogov, Victor Andreevich
Dewey number
516.3/6
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
uLeKAANk1ME
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Global differential geometry
  • Differential Geometry
Label
Differential Geometry of Curves and Surfaces : A Concise Guide, by Victor Andreevich Toponogov, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [199]-202) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Theory of Curves in Three-dimensional Euclidean Space and in the Plane -- Extrinsic Geometry of Surfaces in Three-dimensional Euclidean Space -- Intrinsic Geometry of Surfaces
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (214 p.)
Form of item
online
Isbn
9780817644024
Media category
computer
Media type code
  • c
Other control number
10.1007/b137116
Specific material designation
remote
System control number
  • (CKB)1000000000282773
  • (EBL)3062259
  • (SSID)ssj0000317202
  • (PQKBManifestationID)11247717
  • (PQKBTitleCode)TC0000317202
  • (PQKBWorkID)10292648
  • (PQKB)10815894
  • (DE-He213)978-0-8176-4402-4
  • (MiAaPQ)EBC3062259
  • (EXLCZ)991000000000282773
Label
Differential Geometry of Curves and Surfaces : A Concise Guide, by Victor Andreevich Toponogov, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [199]-202) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Theory of Curves in Three-dimensional Euclidean Space and in the Plane -- Extrinsic Geometry of Surfaces in Three-dimensional Euclidean Space -- Intrinsic Geometry of Surfaces
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (214 p.)
Form of item
online
Isbn
9780817644024
Media category
computer
Media type code
  • c
Other control number
10.1007/b137116
Specific material designation
remote
System control number
  • (CKB)1000000000282773
  • (EBL)3062259
  • (SSID)ssj0000317202
  • (PQKBManifestationID)11247717
  • (PQKBTitleCode)TC0000317202
  • (PQKBWorkID)10292648
  • (PQKB)10815894
  • (DE-He213)978-0-8176-4402-4
  • (MiAaPQ)EBC3062259
  • (EXLCZ)991000000000282773

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