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

• Main Author: Tonti, Enzo. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhũser, 2013.
• Series: Modeling and Simulation in Science, Engineering and Technology,
• Subjects: Mathematics.; Differential equations, partial.; Algebraic topology.; Mathematical physics.; Mathematical Physics.; Mathematical Methods in Physics.; Partial Differential Equations.; Algebraic Topology.; Theoretical, Mathematical and Computational Physics.; Applications of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-7422-7

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 s...

Table of Contents:

• 1 Introduction
• Part I Analysis of variables and equations
• 2 Terminology revisited
• 3 Space and time elements and their orientation
• 4 Cell complexes
• 5 Analysis of physical variables
• 6 Analysis of physical equations
• 7 Algebraic topology
• 8 The birth of the classification diagrams
• Part II Analysis of physical theories
• 9 Particle dynamics
• 10 Electromagnetism
• 11 Mechanics of deformable solids
• 12 Mechanics of fluids
• 13 Other physical theories
• Part III Advanced analysis
• 14 General structure of the diagrams
• 15 The mathematical structure
• Part IV Appendices
• A Affine vector fields
• B Tensorial notation
• C On observable quantities
• D History of the diagram
• D.1 Historical remarks
• E List of physical variables
• F List of symbols used in this book
• G List of diagrams
• References.