Algebra and Geometry

As long as Algebra and Geometry were separate subjects.

Their progress was slow and their uses limited, but when the two sciences are united, they have lent each other their forces, and have since marched together toward perfection:   TENSOR was born.

Joseph Louis Lagrange (1736 - 1813 )

 

Why you need to know Tensor Calculus by prof Grinfeld

Tensor for beginners 0 : Tension definition

Tensor explained intuitively : Covariant, contravariant (leuk filmpje)

Riemann geometry , covariant derivative

https://liavas.net/courses/math430/

Syllabus van Tensor Calculus Lectures van prof Grinfeld 

Syllabus van Tensor Calculus Lectures van Prof Grinfeld  op You Tube

TensorCalculusPart1  Lectures 1 t/m 5

Tensor CalculusPart2 Lectures 6 t/m10

Collegedictaat Tensor Analysis van de Universiteit Eindhoven

Tensorrekening en differentiaalmeetkunde : Eindhovense Universiteit

 

Free Reports from www.digital-university.org

Topics in Tensor Analysis Part 1 Covariant and contracovariant components

Topics in Tensors Analysis  Part 2:  Covariant and contracovariant components

Topics in Tensor Analysis  Part 3

Topics in Tensor Analysis Part 4 : Mixed Tensors

 

 

Conservation  laws   the heart of Physics

Tensor  Calculas Part 2 the heart of Physics

 

Collegedictaat van Udit Gupta

Gravity Lecture 1 - Manifolds and Tensors 

Gravity Lecture 2 - Differential Forms, Exterior and Lie Derivatives

Gravity Lecture 3 - Lie Derivatives, Killing vectors, Connections

Gravity Lecture 4 - Gravitational Wave Spacetime, Warped Compactification

Gravity Lecture 5 - Geodesics