Tensor calculus คืออะไรหรอคับ

[khlongez]

อยากรู้ว่ามันคืออะไรได้ยินมาว่าไอสไตน์เอาไปใช้

[nooonuii]

ถ้าจะพูดแบบคร่าวๆก็คือเป็นการดำเนินการทางพีชคณิตแบบหนึ่ง

ส่วนใหญ่เอาไปใช้ในแคลคูลัสหลายตัวแปร

ส่วนที่บอกว่า Einstein เอาไปใช้นั้น เขาเอาไปใช้อธิบาย

General Relativity Theory ของเขาครับ

[share]

In mathematics, a tensor is an algebraic object that describes a (multilinear) relationship
between sets of algebraic objects related to a vector space.

Objects that tensors may map between include vectors and scalars, and even other tensors.

Tensors can take several different forms – for example: scalars and vectors (which are the simplest tensors),
dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product.

Tensors are defined independent of any basis, although they are often referred to
by their components in a basis related to a particular coordinate system.

Wiki

[share]

In mathematics, tensor calculus, tensor analysis, or Ricci calculus is
an extension of vector calculus to tensor fields
(tensors that may vary over a manifold, e.g. in spacetime).

Developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita,[1]
it was used by Albert Einstein to develop his general theory of relativity.

Unlike the infinitesimal calculus, tensor calculus allows presentation
of physics equations in a form that is independent of the choice of
coordinates on the manifold.