Differential Sheaves And Connections: A Natural Approach To Physical Geometry

Released on by Anastasios Mallios
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  • Differential Sheaves And Connections: A Natural Approach To Physical Geometry Book Detail

  • Author : Anastasios Mallios
  • Release Date : 2015-09-17
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 302
  • ISBN 13 : 981471948X
  • File Size : 91,91 MB
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Differential Sheaves And Connections: A Natural Approach To Physical Geometry by Anastasios Mallios PDF Summary

Book 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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