The Resource First Steps in Differential Geometry : Riemannian, Contact, Symplectic, by Andrew McInerney, (electronic resource)

First Steps in Differential Geometry : Riemannian, Contact, Symplectic, by Andrew McInerney, (electronic resource)

Label
First Steps in Differential Geometry : Riemannian, Contact, Symplectic
Title
First Steps in Differential Geometry
Title remainder
Riemannian, Contact, Symplectic
Statement of responsibility
by Andrew McInerney
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences
Member of
http://library.link/vocab/creatorName
McInerney, Andrew
Image bit depth
0
LC call number
QA641-670
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Undergraduate Texts in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis
  • Global differential geometry
  • Cell aggregation
  • Mathematics
  • Differential Geometry
  • Global Analysis and Analysis on Manifolds
  • Manifolds and Cell Complexes (incl. Diff.Topology)
Label
First Steps in Differential Geometry : Riemannian, Contact, Symplectic, by Andrew McInerney, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Basic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index
Dimensions
unknown
Extent
XIII, 410 p. 54 illus., 25 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781461477327
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-7732-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-7732-7
Label
First Steps in Differential Geometry : Riemannian, Contact, Symplectic, by Andrew McInerney, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Basic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index
Dimensions
unknown
Extent
XIII, 410 p. 54 illus., 25 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781461477327
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-7732-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-7732-7

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