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The Mathematical Structure of Classical and Relativistic Physics (Modeling and Simulation in Science, Engineering and Technology) Sep 07, by Enzo. Enzo Tonti is on Facebook. Join Facebook to connect with Enzo Tonti and others you may know. Facebook gives people the power to share and makes the. The Mathematical Structure of Classical and Relativistic Physics: A General Classification Diagram. Enzo Tonti. from: $ Top of Page. My Account ยท Billing.

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Let us consider, as an example, the classification diagram of electrostatics, shown in Fig.

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

This is called outer orientation of the dual time intervals. Finite formulation of the electromagnetic field E Tonti Progress in electromagnetics research 32, Are you an author?

The very fact that we create volume, surface or line densities highlights that the corresponding global variables are associated with volumes, surfaces and lines. Amazon Inspire Digital Educational Resources. On the variational formulation for linear initial value problems E Tonti Annali di Matematica pura ed applicata 95 1, Tensor Calculus for Physicists.

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My profile My library Metrics Alerts. Learn how and when to remove these template messages. Primal complex, inner orientation: Pressure is the ratio of the normal force on an element of plane surface to the surface area, therefore the normal force is the global variable and the pressure is its surface density.


Lastly all potentials e. A General Classification Diagram. There are two kinds of orientation: Other books in this series. Shopbop Designer Tojti Brands. Please try your request ezno later. Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.

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Physical quantities Mathematical modeling Applied mathematics Diagrams Classification systems. The mathematical treatment of physics also customarily considers the limit of this ratio to obtain a pointwise density, i. When enxo four space elements PLS and V are coupled with the two time elements I and T we obtain eight possible combinations.

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Enzo Tonti – Google Scholar Citations

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 enzoo formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation.

By the term “space elements” we intend pointslinessurfaces and volumeswhich are denoted PLS and V respectively. By using our website you agree to our use of cookies.



The term time-global variables is used to indicate variables that are not rates of ezo variables. The densities and the rates are said to inherit the association from their corresponding global variables. Referring here to particle dynamics, we see that configuration variables are geometrical and kinematic variables, while source variables are static and dynamic variables.

Displacement, impulse, momentum and position vector are therefore global variables.

The fundamental problem of a field is finding the configuration of the field at every time instant, given the spatial distribution and the intensity of its sources which is to say: The starting point of this classification stems from a remark by Maxwell. The diagram shows three phenomenological equations: This is evident if we think that we can perform the rates of the first two variables obtaining velocity and force respectively, while we cannot perform the rates of the last two variables.

This distinction leads to a classification of physical variables based on their association with space elements.