Overview
- Presents an original mathematical analysis of the underlying analogies in diverse branches of physics
- Provides a novel classification of physical variables
- A valuable resource across many disciplines in applied mathematics, physics, and engineering
- Clear exposition includes hundreds of figures to enhance understanding
- Useful for both advanced students and professional researchers
- Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (15 chapters)
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Front Matter
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Analysis of Variables and Equations
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Front Matter
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Analysis of Physical Theories
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Front Matter
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Advanced Analysis
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Front Matter
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Back Matter
Keywords
About this book
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-levelscientific coursework.
Reviews
From the book reviews:
“The author studies the mathematical structure of classical and relativistic physics with a non-standard approach. … the books can be highly recommended for readers from mathematics, physics and engineering, in particular for readers looking for an alternative approach to classical and relativistic physics.” (Willi-Hans Steeb, zbMATH, Vol. 1298, 2014)
Authors and Affiliations
Bibliographic Information
Book Title: The Mathematical Structure of Classical and Relativistic Physics
Book Subtitle: A General Classification Diagram
Authors: Enzo Tonti
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-1-4614-7422-7
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-7421-0Published: 07 September 2013
Softcover ISBN: 978-1-4939-4232-9Published: 23 August 2016
eBook ISBN: 978-1-4614-7422-7Published: 07 September 2013
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XXXVI, 514
Number of Illustrations: 164 illustrations in colour
Topics: Mathematical Physics, Mathematical Methods in Physics, Partial Differential Equations, Algebraic Topology, Theoretical, Mathematical and Computational Physics, Applications of Mathematics
Industry Sectors: IT & Software