The Resource An Introduction to Differential Manifolds, by Jacques Lafontaine, (electronic resource)

An Introduction to Differential Manifolds, by Jacques Lafontaine, (electronic resource)

Label
An Introduction to Differential Manifolds
Title
An Introduction to Differential Manifolds
Statement of responsibility
by Jacques Lafontaine
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. In particular, the introduction of “abstract” notions such as manifolds or differential forms is motivated via questions and examples from mathematics or theoretical physics. More than 150 exercises, some of them easy and classical, some others more sophisticated, will help the beginner as well as the more expert reader. Solutions are provided for most of them. The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory. The original French text Introduction aux variétés différentielles has been a best-seller in its category in France for many years. Jacques Lafontaine was successively assistant Professor at Paris Diderot University and Professor at the University of Montpellier, where he is presently emeritus. His main research interests are Riemannian and pseudo-Riemannian geometry, including some aspects of mathematical relativity. Besides his personal research articles, he was involved in several textbooks and research monographs
http://library.link/vocab/creatorName
Lafontaine, Jacques
Dewey number
516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
20t4jyfuptY
Image bit depth
0
Language note
English
LC call number
QA641-670
Literary form
non fiction
http://library.link/vocab/subjectName
  • Global differential geometry
  • Differential Geometry
Label
An Introduction to Differential Manifolds, by Jacques Lafontaine, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Differential Calculus -- Manifolds: The Basics -- From Local to Global -- Lie Groups -- Differential Forms -- Integration and Applications -- Cohomology and Degree Theory -- Euler-Poincaré and Gauss-Bonnet
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (XIX, 395 p. 49 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783319207353
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-20735-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000454155
  • (SSID)ssj0001558569
  • (PQKBManifestationID)16184054
  • (PQKBTitleCode)TC0001558569
  • (PQKBWorkID)14819507
  • (PQKB)11299705
  • (DE-He213)978-3-319-20735-3
  • (EXLCZ)993710000000454155
Label
An Introduction to Differential Manifolds, by Jacques Lafontaine, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Differential Calculus -- Manifolds: The Basics -- From Local to Global -- Lie Groups -- Differential Forms -- Integration and Applications -- Cohomology and Degree Theory -- Euler-Poincaré and Gauss-Bonnet
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (XIX, 395 p. 49 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783319207353
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-20735-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000454155
  • (SSID)ssj0001558569
  • (PQKBManifestationID)16184054
  • (PQKBTitleCode)TC0001558569
  • (PQKBWorkID)14819507
  • (PQKB)11299705
  • (DE-He213)978-3-319-20735-3
  • (EXLCZ)993710000000454155

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