---
title: Tensors
description: Tensors are geometric objects that describe linear relations between vectors, scalars, and other tensors. Learners will understand how to manipulate tensor fields, change coordinate systems, and apply these tools in general relativity and continuum mechanics.
category: mathematics
subcategory: differential-geometry
difficulty: beginner, intermediate, advanced
url: /subject/tensors
---

# Tensors

Tensors are geometric objects that describe linear relations between vectors, scalars, and other tensors. Learners will understand how to manipulate tensor fields, change coordinate systems, and apply these tools in general relativity and continuum mechanics.

## Available Resources

1 Books • 1 Courses • 1 Websites

## Courses

### 1. Lectures on the Geometrical Anatomy of Theoretical Physics

Learn tensor calculus and its applications in theoretical physics with Frederic Schuller's geometrical anatomy course. Explore tensors geometrically!

**Difficulty:** Advanced | **Price:** Free

**Link:** https://www.youtube.com/playlist?list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic

**Tags:** tensors, differential-geometry, topology, mathematical-physics, general-relativity

## Websites

### 1. Wolfram MathWorld

**Author:** Eric W. Weisstein

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathworld.wolfram.com

**Tags:** mathematics-reference, encyclopedia, abstract-algebra, number-theory, geometry

## Books

### 1. Tensor Analysis on Manifolds

**Author:** Richard L. Bishop, Samuel I. Goldberg

A Dover reprint of a classic advanced-undergraduate text that develops tensors on smooth manifolds from topology and linear algebra through differential forms, connections, and Riemannian geometry, with applications to classical mechanics. Readers learn to compute and reason with tensor fields coordinate-free.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0486640396?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, differential-geometry

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