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 · Billing.
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Back cover copy The theories describing seemingly unrelated areas of physics have gonti analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence.
A similar association exists between time-global variables and time elements. 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.
Amazon Rapids Fun stories for kids on the go. The classification diagram arises tonto an analysis of the association of physical variables in different physical theories, whatever their mathematical nature, i. Amazon Restaurants Food delivery from local restaurants. Get fast, free shipping with Amazon Prime. Review quote From the book totni Therefore, a displacement is associated with a time interval Twhereas a position vector is associated with a time instant I.
Home Contact Us Help Free delivery worldwide. Every density is obtained by dividing a global variable by the extension of the associated space element.
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Progress in electromagnetics research 32, The equations linking the variables are contained in the rectangular boxes.
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Therefore, the temperature is said to be associated with a time interval T. Heterogeneous Media Konstantin Markov. In this classification, the orientation of the space elements has a fundamental role.
Speaking about analogies in different physical theories, Maxwell wrote in Please help improve this article by introducing citations to additional sources. Mathematical Oncology Alberto d’Onofrio. A major contributor to this article appears to have a close connection with its subject. The first complex is called primal and the second dual.
The diagram shows three phenomenological equations: New citations to this author. The Scientific Papers of J. ComiXology Thousands of Digital Comics. Micropolar Fluids Grzegorz Lukaszewicz. International Journal of Engineering Science 22, Remarks on the Mathematical Classification of Physical Quantities. Why starting from differential equations for computational physics?
Once more we can assign them the orientation induced by the primal time instants, as shown in Fig.
The Mathematical Structure of Classical and Relativistic Physics : Enzo Tonti :
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. Similarly, the measurement of a force requires a mechanical equilibrium to be reached, hence it is associated with a time interval T.
Finite formulation of the electromagnetic field E Tonti Progress in electromagnetics research 32, The specific problem is: This remark leads us to a distinction between vectors referred to lines and vectors referred to surfaces. Since every global physical variable is associated with both a time and a space element, it appears useful to have a classification diagram combining space and time elements. To be precise, the configuration variables, which are associated with space elements with inner orientation, may be associated with the elements of the primal complex, while the source variables, which are associated with the space elements with an outer orientation, can be associated with the elements of the dual complex.
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By the term “space elements” we intend pointslinessurfaces and volumeswhich are denoted PLS and V respectively. Provide feedback about this page. Check out the top books of the year on our page Best Books of Displacement and impulse are associated with time tonto, while momentum and position vector are associated with instants.
Symmetry, similarity and group theoretic methods in mechanics, ,