What is tensor in simple words?
A tensor is a mathematical object. Tensors provide a mathematical framework for solving physics problems in areas such as elasticity, fluid mechanics and general relativity. The word tensor comes from the Latin word tendere meaning “to stretch”. A tensor of order zero (zeroth-order tensor) is a scalar (simple number).
What is the meaning of tensor analysis?
tensor analysis, branch of mathematics concerned with relations or laws that remain valid regardless of the system of coordinates used to specify the quantities. Such relations are called covariant.
What is a tensor in relativity?
The metric tensor is a central object in general relativity that describes the local geometry of spacetime (as a result of solving the Einstein field equations). Using the weak-field approximation, the metric tensor can also be thought of as representing the ‘gravitational potential’.
How many types of tensor are there?
There are four main tensor type you can create: tf.
Why do we use tensors?
Tensors are a type of data structure used in linear algebra, and like vectors and matrices, you can calculate arithmetic operations with tensors. After completing this tutorial, you will know: That tensors are a generalization of matrices and are represented using n-dimensional arrays.
Did Einstein invent tensors?
Born on 12 January 1853 in Lugo in what is now Italy, Gregorio Ricci-Curbastro was a mathematician best known as the inventor of tensor calculus.
Who developed tensor analysis?
Ricci created the systematic theory of tensor analysis in 1887–96, with significant extensions later contributed by his pupil Tullio Levi-Civita.
What is a tensor in physics?
Tensors are simply mathematical objects that can be used to describe physical properties, just like scalars and vectors. In fact tensors are merely a generalisation of scalars and vectors; a scalar is a zero rank tensor, and a vector is a first rank tensor.
Who is Eigenchris?
For all the self learners out there, there is a really good YouTube channel called eigenchris. He teachers Tensor Analysis (from the beginner level up to complex level) and is starting a series on special and general relativity. He’s doing these videos for free, so please support him!
Who invented tensors?
Gregorio Ricci-Curbastro
0. Born on 12 January 1853 in Lugo in what is now Italy, Gregorio Ricci-Curbastro was a mathematician best known as the inventor of tensor calculus.
What is a tensor in engineering?
To put it succinctly, tensors are geometrical objects over vector spaces, whose coordinates obey certain laws of transformation under change of basis. Vectors are simple and well-known examples of tensors, but there is much more to tensor theory than vectors.