Differential Sheaves and Connections: A Natural Approach to Physical Geometry (Series on Concrete and Applicable Mathematics): 18 - Hardcover

Anastasios Mallios; Elias Zafiris

 
9789814719469: Differential Sheaves and Connections: A Natural Approach to Physical Geometry (Series on Concrete and Applicable Mathematics): 18
Hardcover
ISBN 10: 9814719463 ISBN 13: 9789814719469
Publisher: World Scientific Publishing Company, 2015

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2015
Language
English
ISBN 10 
9814719463
ISBN 13 
9789814719469
Binding
Hardcover
Number of pages
304