eigenchris

eigenchris is an independent channel that teaches advanced mathematics and physics through long lecture series. The creator builds each topic from first principles, with clear diagrams and step-by-step working, and links to further reading for each series.

The main series cover tensor algebra, tensor calculus, general relativity and spinors. Later videos reach the equations of quantum field theory, such as the Dirac and Klein-Gordon equations. The pace is patient and the explanations are visual, but the material is genuinely university level. A few short joke videos poke fun at overcomplicated explanations of simple ideas like momentum and voltage. Each series has its own playlist, so it is easy to start at the beginning and work through in order.

Some highlights include:

The opening lecture of the tensor calculus series, explaining what tensors are and why physicists and engineers need them.

An introduction to the Spinors for Beginners series, setting out what spinors are and mapping the route through the topic.

A ground-up introduction to quantum field theory, linking special relativity and quantum mechanics.

The channel has over 160,000 subscribers.

This is not a starting point. It is a channel for students who have finished A level maths or Further Maths and want a taste of what comes next. Tensors appear in structural and materials engineering as well as physics, so it suits anyone heading towards theoretical physics, aerospace or mechanical engineering degrees.