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The Mathematical Structure of Classical and Relativistic
Physics
: A General Classification Diagram
Tonti, Enzo
New York, NY: Springer Nature 2013
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Título:
The Mathematical Structure of Classical and Relativistic
Physics
: A General Classification Diagram
Autor:
Tonti, Enzo
Assuntos:
Algebraic Topology
;
Applications of Mathematics
;
Mathematical Methods in
Physics
;
Mathematical
Physics
;
Mathematics
;
Mathematics and Statistics
;
Partial Differential Equations
;
Physics
;
Theoretical, Mathematical and Computational
Physics
Descrição:
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 applies this formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories.Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at a level accessible to graduate and advanced undergraduate students in mathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursework.
Títulos relacionados:
Modeling and Simulation in Science, Engineering and Technology
Editor:
New York, NY: Springer Nature
Data de criação/publicação:
2013
Formato:
537
Idioma:
Inglês
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