- #1
pivoxa15
- 2,255
- 1
What is a good book that introduces tensor notion clearly?
pivoxa15 said:I am looking for one descriving the absolute basics. Not really wanting to become a tensor expert though.
Tensors are mathematical objects that represent relationships between different sets of variables. They are important in science because they provide a way to describe and analyze complex systems and interactions, particularly in fields such as physics, engineering, and data science.
Tensors are more general than vectors and matrices, as they can have an arbitrary number of dimensions. Vectors are one-dimensional tensors, and matrices are two-dimensional tensors. Tensors also have specific transformation properties that make them useful for describing physical phenomena.
The most common notation for tensors is the index notation, also known as Einstein notation. This involves using superscripts and subscripts to represent the different components of a tensor in relation to its dimensions.
Tensors play a crucial role in machine learning and artificial intelligence, particularly in deep learning algorithms. They are used to represent and process large datasets, and their multi-dimensional nature allows for more complex and sophisticated analyses.
Tensors have a wide range of applications in science and technology. They are used in physics to describe the behavior of objects under different forces, in engineering to model stress and strain in materials, and in computer graphics to create 3D images. They are also used in fields such as finance, medicine, and meteorology for data analysis and prediction.