MATHEMATICS

The Mathematics part of the Wolverhampton Lectures of Physics gives some introduction from scratch to the most useful Maths required to do Physics at the University level. It starts from basics of manipulations of numbers to extend the idea to abstract mathematical objects, including cats defined as vectors! (something we do in quantum mechanics). It also covers the essential of linear algebra and the theory of differential equations.

The Lectures are so far available in a preprint pdf version: Download HERE.

At the occasion of the covid pandemic, I have recorded some of these lectures given for the 2020-2021 cohort of level-4 students, which I later decided to release on YouTube where they are now publicly available as follows:

Or by titles:

The Platonic Universe Arithmetic and Algebra Logic and Sets Complex Numbers Vectors Functions Infinities Infinitesimals Composite and Inverses Taylor Expansions

Bra and Kets Integrals Basis Linear Functions Inverses and Determinants Eigensystems Fourier Series Differential Equations Wronskians Jacobians The Equations of Physics

Table of Contents Mathematics for Physicists

The Platonic and Physical Universes. Arithmetics. Algebra. Logic and Sets. Proofs. Complex Numbers. Vectors. Functions. Infinities. Infinitesimals. Composite and Inverses. Taylor Expansions. Bra and Kets. Areas. Basis. Linear Functions. Inverses and Determinants. Eigensystems. Fourier Series. Differential Equations. Wronskians. Jacobians. Surface integrals. The continuity equation. The equations of Physics.