By Enzo Tonti

The theories describing possible unrelated components of physics have marvelous analogies that experience aroused the interest of scientists and motivated efforts to identify purposes for his or her existence. Comparative examine of actual theories has printed the presence of a standard topological and geometric constitution. The Mathematical constitution of Classical and Relativistic Physics is the 1st booklet to analyze this constitution extensive, thereby exposing the connection among (a) international actual variables and (b) house and time components reminiscent of issues, strains, surfaces, instants, and durations. Combining this courting with the interior and outer orientation of house and time permits one to build a category diagram for variables, equations, and different theoretical characteristics.The book is divided into 3 components. the 1st introduces the framework for the above-mentioned category, methodically developing a geometric and topological formulation applicable to all physical legislation and houses; the second one applies this formula to an in depth examine of particle dynamics, electromagnetism, deformable solids, fluid dynamics, warmth conduction, and gravitation. The 3rd half extra analyses the overall constitution of the type diagram for variables and equations of actual theories.Suitable for a various viewers of physicists, engineers, and mathematicians, The Mathematical constitution of Classical and Relativistic Physics deals a precious source for learning the actual global. Written at a level obtainable to graduate and complicated undergraduate students in mathematical physics, the ebook can be utilized as a examine monograph throughout quite a few components of physics, engineering and arithmetic, and as a supplemental textual content for a vast diversity of upper-level clinical coursework.

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