Differential Sheaves and Connections: A Natural Approach to Physical Geometry - Couverture rigide

Mallios, Anastasios; Zafiris, Elias

Couverture rigide

ISBN 10 : 9814719463 ISBN 13 : 9789814719469

Editeur : World Scientific Publishing Co Pte Ltd, 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.

A propos du livre

Présentation de l'éditeur

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.

Revue de presse

The book is manifestly dense, idiosyncratic, and ambitious in its aims. It is an interesting approach indeed to a very deep set of questions at the intersection of physics and mathematics, employing novel and even avant-garde techniques and perspectives. --Mathematical Reviews Clippings

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 9814719463
• ISBN 13: 9789814719469
• Reliure: Relié
• Nombre de pages: 302
• Coordonnées du fabricant: non disponible
• Personne responsable: gpsr@libri.de; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Allemagne