ENGLISH

Differential Sheaves and Connections: A Natural Approach to Physical Geometry

By Anastasios Mallios , Elias Zafiris

Book information

Publisher
World Scientific
Year
2015
ISBN
9814719463, 9789814719469
Language
english
Format
PDF
Filesize
21 MB (21793032 bytes)
Series
Series on Concrete and Applicable Mathematics 18
Pages
304\301
Time added
2018-01-28 23:31:31

Description

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.

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