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The Resource Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (electronic resource)
Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (electronic resource)
Resource Information
The item Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (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 Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (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
 This twovolume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaftheoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (`differential spaces'), to nonlinear PDEs (generalised functions). Thus, more general applications, which are no longer `smooth' in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the everincreasing notion that the `world around us is far from being smooth enough'. Audience: This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis
 Language
 eng
 Extent
 1 online resource (XXIII, 438 pages).
 Contents

 Two. Geometry
 VI. Geometry of Vector Sheaves. Aconnections
 VII. Aconnections. Local Theory
 VIII. Curvature
 IX. Characteristic Classes
 Three. Examples and Applications
 X. Classical Theory
 XI. Sheaves and Presheaves with Topological Algebraic Structures
 Notational Index
 Isbn
 9789401150064
 Label
 Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications
 Title
 Geometry of Vector Sheaves
 Title remainder
 an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications
 Statement of responsibility
 by Anastasios Mallios
 Language
 eng
 Summary
 This twovolume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaftheoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (`differential spaces'), to nonlinear PDEs (generalised functions). Thus, more general applications, which are no longer `smooth' in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the everincreasing notion that the `world around us is far from being smooth enough'. Audience: This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis
 Cataloging source
 Nz
 http://library.link/vocab/creatorName
 Mallios, Anastasios
 Dewey number
 516.36
 Image bit depth
 0
 Index
 no index present
 LC call number
 QA641670
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematics and Its Applications
 Series volume
 439
 http://library.link/vocab/subjectName

 Mathematics
 Harmonic analysis
 Functional analysis
 Global analysis
 Global differential geometry
 Algebraic topology
 Label
 Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Two. Geometry  VI. Geometry of Vector Sheaves. Aconnections  VII. Aconnections. Local Theory  VIII. Curvature  IX. Characteristic Classes  Three. Examples and Applications  X. Classical Theory  XI. Sheaves and Presheaves with Topological Algebraic Structures  Notational Index
 Dimensions
 unknown
 Extent
 1 online resource (XXIII, 438 pages).
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9789401150064
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9789401150064
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (OCoLC)858949729
 (OCoLC)ocn858949729
 Label
 Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Two. Geometry  VI. Geometry of Vector Sheaves. Aconnections  VII. Aconnections. Local Theory  VIII. Curvature  IX. Characteristic Classes  Three. Examples and Applications  X. Classical Theory  XI. Sheaves and Presheaves with Topological Algebraic Structures  Notational Index
 Dimensions
 unknown
 Extent
 1 online resource (XXIII, 438 pages).
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9789401150064
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9789401150064
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (OCoLC)858949729
 (OCoLC)ocn858949729
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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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/GeometryofVectorSheavesanAxiomatic/AoivI8MxUx4/" 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/GeometryofVectorSheavesanAxiomatic/AoivI8MxUx4/">Geometry of Vector Sheaves : an Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (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>