)progiangbk said:
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progiangbk said:
Cartesian tensors are mathematical objects that describe the relationship between different coordinate systems in a multi-dimensional space. They are used in physics and engineering to represent physical quantities such as stress, strain, and electric fields.
The purpose of an introduction to cartesian tensors is to provide a basic understanding of these mathematical objects and their applications in various fields of science and engineering. It covers the fundamental concepts and properties of cartesian tensors, as well as their notation and operations.
Cartesian tensors are a specific type of tensor that is defined in a rectangular cartesian coordinate system. They differ from other types of tensors, such as covariant and contravariant tensors, which are defined in more general coordinate systems.
Cartesian tensors have numerous applications in different fields of science and engineering. Some examples include their use in mechanics to describe stress and strain in materials, in electromagnetism to represent electric and magnetic fields, and in fluid dynamics to describe fluid flow.
While prior knowledge of tensor algebra can be helpful, it is not necessary for understanding cartesian tensors. An introduction to cartesian tensors typically covers the basics of tensor notation and operations, making it accessible to those with a background in mathematics and physics.