The Mathematical Structure of Classical and Relativistic Physics : A General Classification Diagram

種類:

電子ブック

責任表示:

by Enzo Tonti

出版情報:

New York, NY : Springer New York : Imprint: Birkhäuser, 2013

著者名:

• Tonti, Enzo
• SpringerLink (Online service)

シリーズ名:

Modeling and Simulation in Science, Engineering and Technology ;

ISBN:

9781461474227 [1461474221]    

注記:

The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theories has revealed the presence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physics is the first book to analyze this structure in depth, thereby exposing the relationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows one to construct a classification diagram for variables, equations, and other theoretical characteristics. The book is divided into three parts. The first introduces the framework for the above-mentioned classification, methodically developing a geometric and topological formulation applicable to all physical laws and properties; the second

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