Differential Sheaves And Connections: A Natural Approach To Physical Geometry

Differential Sheaves And Connections: A Natural Approach To Physical Geometry
Author :
Publisher : World Scientific
Total Pages : 302
Release :
ISBN-10 : 9789814719483
ISBN-13 : 981471948X
Rating : 4/5 (83 Downloads)

Book Synopsis Differential Sheaves And Connections: A Natural Approach To Physical Geometry by : Anastasios Mallios

Download or read book Differential Sheaves And Connections: A Natural Approach To Physical Geometry written by Anastasios Mallios and published by World Scientific. This book was released on 2015-09-17 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Differential Sheaves And Connections: A Natural Approach To Physical Geometry Related Books

Differential Sheaves And Connections: A Natural Approach To Physical Geometry
Language: en
Pages: 302
Authors: Anastasios Mallios
Categories: Mathematics
Type: BOOK - Published: 2015-09-17 - Publisher: World Scientific

DOWNLOAD EBOOK

This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the ex
Differential Sheaves and Connections
Language: en
Pages: 0
Authors: Anastasios Mallios
Categories: Algebraic topology
Type: BOOK - Published: 2016 - Publisher: World Scientific Publishing Company

DOWNLOAD EBOOK

This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the ex
Geometry of Vector Sheaves
Language: en
Pages: 457
Authors: Anastasios Mallios
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using different
Manifolds, Sheaves, and Cohomology
Language: en
Pages: 366
Authors: Torsten Wedhorn
Categories: Mathematics
Type: BOOK - Published: 2016-07-25 - Publisher: Springer

DOWNLOAD EBOOK

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geom
D-Modules, Perverse Sheaves, and Representation Theory
Language: en
Pages: 408
Authors: Ryoshi Hotta
Categories: Mathematics
Type: BOOK - Published: 2007-11-07 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation t