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Mathematics for Electromagnetism
Rára, Michael ; Spousta, Jiří (referee) ; Doupovec, Miroslav (advisor)
The goal of this thesis is the description of elektromagnetism by means of selected parts of mathematics, in particular tensors, vector fields, integral calculus and integral theorems. Maxwell's equations will be derived by means of these notions in integral form, differential form and tensor form, we also show usefulness of tensor form of these equations.
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Tensors and their geometrical and mechanical applications
Kunz, Daniel ; Kureš, Miroslav (referee) ; Tomáš, Jiří (advisor)
In this thesis I describe construction of tensor algebra and its following usage of this magnificent structure for description of curved surfaces. This structure can be used in geometry or for example in mechanic. The thesis is focused on clear construction and if it is possible than to sustain visual aspect of current problem. Main task of this thesis was got the feel of tensor algebra and its construction and then use it on tasks in physic and mechanic.
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Tensors and their geometrical and mechanical applications
Kunz, Daniel ; Kureš, Miroslav (referee) ; Tomáš, Jiří (advisor)
In this thesis I describe construction of tensor algebra and its following usage of this magnificent structure for description of curved surfaces. This structure can be used in geometry or for example in mechanic. The thesis is focused on clear construction and if it is possible than to sustain visual aspect of current problem. Main task of this thesis was got the feel of tensor algebra and its construction and then use it on tasks in physic and mechanic.
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Mathematics for Electromagnetism
Rára, Michael ; Spousta, Jiří (referee) ; Doupovec, Miroslav (advisor)
The goal of this thesis is the description of elektromagnetism by means of selected parts of mathematics, in particular tensors, vector fields, integral calculus and integral theorems. Maxwell's equations will be derived by means of these notions in integral form, differential form and tensor form, we also show usefulness of tensor form of these equations.
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