The Resource A differential approach to geometry, Francis Borceux

A differential approach to geometry, Francis Borceux

Label
A differential approach to geometry
Title
A differential approach to geometry
Statement of responsibility
Francis Borceux
Creator
Author
Subject
Genre
Language
eng
Summary
This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (the Euler-Poincare characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to intuitively introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
Borceux, Francis
Dewey number
516.3/6
Illustrations
illustrations
Index
index present
LC call number
QA641
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Geometric Trilogy
Series volume
III
http://library.link/vocab/subjectName
  • Geometry, Differential
  • Mathematics
  • MATHEMATICS
  • Geometry, Differential
Label
A differential approach to geometry, Francis Borceux
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-01736-5
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The Genesis of Differential Methods -- Plane Curves -- A Museum of Curves -- Skew Curves -- Local Theory of Surfaces -- Towards Riemannian Geometry -- Elements of Global Theory of Surfaces -- Appendices: A. Topology -- B. Differential Equations
Dimensions
unknown
Extent
1 online resource (xvi, 452 pages)
File format
unknown
Form of item
online
Isbn
9783319017365
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-01736-5
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)865554779
  • (OCoLC)ocn865554779
Label
A differential approach to geometry, Francis Borceux
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-01736-5
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The Genesis of Differential Methods -- Plane Curves -- A Museum of Curves -- Skew Curves -- Local Theory of Surfaces -- Towards Riemannian Geometry -- Elements of Global Theory of Surfaces -- Appendices: A. Topology -- B. Differential Equations
Dimensions
unknown
Extent
1 online resource (xvi, 452 pages)
File format
unknown
Form of item
online
Isbn
9783319017365
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-01736-5
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)865554779
  • (OCoLC)ocn865554779

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