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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)
Resource Information
The item Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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 1dimensional 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 wellknown 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
 Language

 eng
 eng
 Edition
 Rev. ed.
 Extent
 1 online resource (444 p.)
 Note
 Description based upon print version of record
 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
 Isbn
 9786613251442
 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
 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 1dimensional 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 wellknown 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
 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
 QA641670
 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)
 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
 10.1007/9789048135646
 Specific material designation
 remote
 System control number

 (CKB)2480000000000180
 (EBL)3064933
 (SSID)ssj0000372620
 (PQKBManifestationID)11261936
 (PQKBTitleCode)TC0000372620
 (PQKBWorkID)10422740
 (PQKB)11616992
 (DEHe213)9789048135646
 (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)
 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
 10.1007/9789048135646
 Specific material designation
 remote
 System control number

 (CKB)2480000000000180
 (EBL)3064933
 (SSID)ssj0000372620
 (PQKBManifestationID)11261936
 (PQKBTitleCode)TC0000372620
 (PQKBWorkID)10422740
 (PQKB)11616992
 (DEHe213)9789048135646
 (MiAaPQ)EBC3064933
 (EXLCZ)992480000000000180
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History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AnalysisandAlgebraonDifferentiableManifolds/u2mtMc9585M/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AnalysisandAlgebraonDifferentiableManifolds/u2mtMc9585M/">Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>