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)

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
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic 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 non-linear 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 ever-increasing 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
Member of
http://library.link/vocab/creatorName
Mallios, Anastasios
Dewey number
516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
k0TFZOo8l4k
Image bit depth
0
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Mathematics and Its Applications
Series volume
439
http://library.link/vocab/subjectName
  • Global differential geometry
  • Global analysis
  • Algebraic topology
  • Functional analysis
  • Harmonic analysis
  • Differential Geometry
  • Global Analysis and Analysis on Manifolds
  • Algebraic Topology
  • Functional Analysis
  • Abstract Harmonic Analysis
Label
Geometry of Vector Sheaves : An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (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
Two. Geometry -- VI. Geometry of Vector Sheaves. A-connections -- VII. A-connections. 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
Edition
1st ed. 1998.
Extent
1 online resource (XXIII, 438 p.)
File format
multiple file formats
Form of item
online
Isbn
9789401150064
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-94-011-5006-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000123344
  • (SSID)ssj0001296932
  • (PQKBManifestationID)11986961
  • (PQKBTitleCode)TC0001296932
  • (PQKBWorkID)11353250
  • (PQKB)11105314
  • (DE-He213)978-94-011-5006-4
  • (MiAaPQ)EBC3566573
  • (EXLCZ)993400000000123344
Label
Geometry of Vector Sheaves : An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications, by Anastasios Mallios, (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
Two. Geometry -- VI. Geometry of Vector Sheaves. A-connections -- VII. A-connections. 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
Edition
1st ed. 1998.
Extent
1 online resource (XXIII, 438 p.)
File format
multiple file formats
Form of item
online
Isbn
9789401150064
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-94-011-5006-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000123344
  • (SSID)ssj0001296932
  • (PQKBManifestationID)11986961
  • (PQKBTitleCode)TC0001296932
  • (PQKBWorkID)11353250
  • (PQKB)11105314
  • (DE-He213)978-94-011-5006-4
  • (MiAaPQ)EBC3566573
  • (EXLCZ)993400000000123344

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