The Resource Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource)

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource)

Label
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Title
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Statement of responsibility
by P.M. Gadea, J. Muñoz Masqué
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task
Member of
http://library.link/vocab/creatorName
Gadea, P.M
Dewey number
516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • J5Fe0L9xE_8
  • QEcKBNnfW4E
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Muñoz Masqué, J.
Series statement
Texts in the Mathematical Sciences,
Series volume
23
http://library.link/vocab/subjectName
  • Global differential geometry
  • Global analysis
  • Topological Groups
  • Mathematics
  • Differential Geometry
  • Global Analysis and Analysis on Manifolds
  • Topological Groups, Lie Groups
  • Applications of Mathematics
Label
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Differentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Definitions and Theorems -- Some Formulas and Tables -- Erratum to: Foreword
Dimensions
unknown
Edition
Rev. ed.
Extent
1 online resource (444 p.)
Form of item
online
Isbn
9786613251442
Media category
computer
Media type code
  • c
Other control number
10.1007/978-90-481-3564-6
Specific material designation
remote
System control number
  • (CKB)2480000000000180
  • (EBL)3064933
  • (SSID)ssj0000372620
  • (PQKBManifestationID)11261936
  • (PQKBTitleCode)TC0000372620
  • (PQKBWorkID)10422740
  • (PQKB)11616992
  • (DE-He213)978-90-481-3564-6
  • (MiAaPQ)EBC3064933
  • (EXLCZ)992480000000000180
Label
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Differentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Definitions and Theorems -- Some Formulas and Tables -- Erratum to: Foreword
Dimensions
unknown
Edition
Rev. ed.
Extent
1 online resource (444 p.)
Form of item
online
Isbn
9786613251442
Media category
computer
Media type code
  • c
Other control number
10.1007/978-90-481-3564-6
Specific material designation
remote
System control number
  • (CKB)2480000000000180
  • (EBL)3064933
  • (SSID)ssj0000372620
  • (PQKBManifestationID)11261936
  • (PQKBTitleCode)TC0000372620
  • (PQKBWorkID)10422740
  • (PQKB)11616992
  • (DE-He213)978-90-481-3564-6
  • (MiAaPQ)EBC3064933
  • (EXLCZ)992480000000000180

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