Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Resource Information
The work Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 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
 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
 Series statement
 Texts in the Mathematical Sciences,
 Series volume
 23
Context
Context of Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and TeachersWork of
 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)
 Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, by P.M. Gadea, J. Muñoz Masqué, (electronic resource)
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