Differential sheaves and connections: a natural approach to physical geometry
"This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to "physical geometry". In thi...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte. Ltd.
c2016
|
Schriftenreihe: | Series on concrete and applicable mathermatics
vol.18 |
Schlagworte: | |
Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
Zusammenfassung: | "This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to "physical geometry". In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums."-- |
Beschreibung: | Title from PDF file title page (viewed November 13, 2015) |
Beschreibung: | 1 online resource (xvi, 285 p.) ill |
ISBN: | 9789814719476 |
Internformat
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650 | 4 | |a Sheaf theory | |
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Datensatz im Suchindex
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any_adam_object | |
author | Mallios, Anastasios |
author_facet | Mallios, Anastasios |
author_role | aut |
author_sort | Mallios, Anastasios |
author_variant | a m am |
building | Verbundindex |
bvnumber | BV044640794 |
collection | ZDB-124-WOP |
ctrlnum | (ZDB-124-WOP)00009769 (OCoLC)988732542 (DE-599)BVBBV044640794 |
dewey-full | 514/.224 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514/.224 |
dewey-search | 514/.224 |
dewey-sort | 3514 3224 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV044640794 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:57:58Z |
institution | BVB |
isbn | 9789814719476 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030038766 |
oclc_num | 988732542 |
open_access_boolean | |
owner | DE-92 |
owner_facet | DE-92 |
physical | 1 online resource (xvi, 285 p.) ill |
psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
publishDate | 2016 |
publishDateSearch | 2016 |
publishDateSort | 2016 |
publisher | World Scientific Publishing Co. Pte. Ltd. |
record_format | marc |
series2 | Series on concrete and applicable mathermatics |
spelling | Mallios, Anastasios Verfasser aut Differential sheaves and connections a natural approach to physical geometry Anastasios Mallios, Elias Zafiris Singapore World Scientific Publishing Co. Pte. Ltd. c2016 1 online resource (xvi, 285 p.) ill txt rdacontent c rdamedia cr rdacarrier Series on concrete and applicable mathermatics vol.18 Title from PDF file title page (viewed November 13, 2015) "This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to "physical geometry". In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums."-- Sheaf theory Geometry, Differential Algebraic topology Zafiris, Elias 1970- Sonstige oth http://www.worldscientific.com/worldscibooks/10.1142/9769#t=toc Verlag URL des Erstveroeffentlichers Volltext |
spellingShingle | Mallios, Anastasios Differential sheaves and connections a natural approach to physical geometry Sheaf theory Geometry, Differential Algebraic topology |
title | Differential sheaves and connections a natural approach to physical geometry |
title_auth | Differential sheaves and connections a natural approach to physical geometry |
title_exact_search | Differential sheaves and connections a natural approach to physical geometry |
title_full | Differential sheaves and connections a natural approach to physical geometry Anastasios Mallios, Elias Zafiris |
title_fullStr | Differential sheaves and connections a natural approach to physical geometry Anastasios Mallios, Elias Zafiris |
title_full_unstemmed | Differential sheaves and connections a natural approach to physical geometry Anastasios Mallios, Elias Zafiris |
title_short | Differential sheaves and connections |
title_sort | differential sheaves and connections a natural approach to physical geometry |
title_sub | a natural approach to physical geometry |
topic | Sheaf theory Geometry, Differential Algebraic topology |
topic_facet | Sheaf theory Geometry, Differential Algebraic topology |
url | http://www.worldscientific.com/worldscibooks/10.1142/9769#t=toc |
work_keys_str_mv | AT malliosanastasios differentialsheavesandconnectionsanaturalapproachtophysicalgeometry AT zafiriselias differentialsheavesandconnectionsanaturalapproachtophysicalgeometry |