# In what math class do you learn about tensors?

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## In what math class do you learn about tensors?

Tensors are a type of data structure used in linear algebra, and like vectors and matrices, you can calculate arithmetic operations with tensors.

**Are tensors and matrices the same?**

In a defined system, a matrix is just a container for entries and it doesn’t change if any change occurs in the system, whereas a tensor is an entity in the system that interacts with other entities in a system and changes its values when other values change.

### What branch of math is Matrix?

linear algebra

Therefore, the study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices.

**What are tensors in mathematics?**

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

#### Are tensors hard to understand?

It depends how much you understand calculus with matrices. Tensors are a generalization, one that generalizes all of the common operations of matrices, such as trace, transpose, and multiplication with derivations (differential operators) in higher ranks/dimensions than 2.

**Are matrices tensors?**

All matrices are not tensors, although all tensors of rank 2 are matrices.

## Is a tensor a 3d matrix?

A tensor is often thought of as a generalized matrix. That is, it could be a 1-D matrix (a vector is actually such a tensor), a 3-D matrix (something like a cube of numbers), even a 0-D matrix (a single number), or a higher dimensional structure that is harder to visualize.

**What is the best book for Learning Tensor calculus?**

Schaum’s Outline of Tensor Calculus, by David Kay. This book covers progressively and clearly many topics related to tensor calculus , from linear algebra to general tensors and the metric tensor , to the Riemann curvature tensor and applications of tensors in mechanics and physics , to tensor fields and manifolds .

### What are the best books to learn about tensors in physics?

There a many useful books that teach about tensors and tensor analysis , but whether one is studying math or physics , I think the following two books help learn about tensors gradually and effectively . The first book is : Schaum’s Vector Analysis (2nd Edition), by Murray Spiegel, Seymour Lipschutz, Dennis Spellman.

**What are the prerequisites for studying tensor analysis?**

A basic knowledge of vectors, matrices, and physics is assumed. A semi-intuitive approach to those notions underlying tensor analysis is given via scalars, vectors, dyads, triads, and similar higher-order vector products. The reader must be prepared to do some mathematics and to think.

#### When is a vector a tensor of rank 1?

Any vector that transforms according to the expression V = V* is defined to be a tensor of rank 1. We usually say that the transformation law T = T*, or V = V*, requires the quantity represented by T or V to be coordinate independent. While the vector itself is coordinate independent, its individual components are not.