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...

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Bibliographic Details
Main Authors: Mallios, Anastasios. (Author)
Corporate Authors: World Scientific (Firm)
Group Author: Zafiris, Elias, 1970-
Published: World Scientific Publishing Co. Pte. Ltd.,
Publisher Address: Singapore :
Publication Dates: 2016.
Literature type: eBook
Language: English
Series: Series on concrete and applicable mathermatics ; vol.18
Subjects:
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/9769#t=toc
Summary: "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."--
Item Description: Title from PDF file title page (viewed November 13, 2015).
Carrier Form: 1 online resource (xvi, 285 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 265-278) and index.
ISBN: 9789814719476 (ebook)
Index Number: QA612
CLC: O189.22