Concept

Penrose graphical notation

Related lectures (13)

Covers scaling, mathematical modeling, tensor notation, and Python exercises in Jupyter notebooks.

Covers summation notation, product notation, geometric series, and important formulas.

Covers summation notation, product notation, and geometric series formulas.

Covers matrix notation for linear equations, solutions, and geometric interpretations.

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Covers index notation basics and introduces tensors and their transformations.

Covers the interpretation of rotation in a coordinate system and the fish formula.

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Covers derivability, differentiability, rules of differentiation, and the relationship between differentiability and continuity.

Covers the solution of a 2x2 system of differential equations using matrix notation and explores stability methods and specific cases.

Covers matrix notation, linear equations, vector spaces, and applications of least squares.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Covers the basics of vectors, including properties, operations, and graphical representation.