Differential sheaves and connections: a natural approach to physical geometry
Anastasios Mallios, Elias Zafiris
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.
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.
Kategoriler:
Yıl:
2016
Yayımcı:
World Scientific
Dil:
english
Sayfalar:
304
ISBN 10:
9814719471
ISBN 13:
9789814719476
Seriler:
Series on concrete and applicable mathematics 18
Dosya:
PDF, 3.99 MB
IPFS:
,
english, 2016