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
Author
Author
Subject
Language
  • eng
  • 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
Dewey number
516.3/6
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
FQT5tnq7HVg
Image bit depth
0
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Undergraduate Texts in Mathematics,
http://library.link/vocab/subjectName
  • Global differential geometry
  • Global analysis
  • Cell aggregation
  • 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
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (pages 405-406) and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Basic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (XIII, 410 p. 54 illus., 25 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9781461477327
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-7732-7
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000002543
  • (SSID)ssj0000962735
  • (PQKBManifestationID)11974953
  • (PQKBTitleCode)TC0000962735
  • (PQKBWorkID)10979059
  • (PQKB)11445986
  • (DE-He213)978-1-4614-7732-7
  • (MiAaPQ)EBC3096881
  • (EXLCZ)993710000000002543
Label
First Steps in Differential Geometry : Riemannian, Contact, Symplectic, by Andrew McInerney, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (pages 405-406) and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Basic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (XIII, 410 p. 54 illus., 25 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9781461477327
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-7732-7
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000002543
  • (SSID)ssj0000962735
  • (PQKBManifestationID)11974953
  • (PQKBTitleCode)TC0000962735
  • (PQKBWorkID)10979059
  • (PQKB)11445986
  • (DE-He213)978-1-4614-7732-7
  • (MiAaPQ)EBC3096881
  • (EXLCZ)993710000000002543

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