# Resource recommendation for Vector/Tensor/Operator and Spinor geometric understanding

I am a Bachelor's Physics student,currently on my 5th Semester (3rd Year 1st semester). We are at a point in Physics where the mathematics is getting seriously hard. Our Bachelor program in itself is badly constructed. We had math only for 3 semesters and most of the things that were taught during this time were stuff we already knew from High school but in the university they were explained more in details. In this semester we are dealing the Tensors, even though up until this point nothing was explained regarding what a tensor is, its geometrical interpretations etc.

What I want is for a book suggestion that has a detailed (maybe even illustrated to a certain extend) geometrical interpretation of the above concepts (i know what a vector is,but how it's different from a spinor etc i don't know). Or a book that explains the mathematics that one ought to know in order to understand QFT.

Today for example the concept of a spinor was explained, in the following way :

Equations which:

transform $$Ψ(x^μ)= (S(Λ))^{-1} Ψ'(x'^μ)$$ (we are trying to show the lorentz covariance of the Dirac Eq.)

and

$$Λ^ν_μ γ^μ=(S(Λ))^{-1}γ^νS(Λ)$$ (this equation was derived by comparing the Dirac eq.in two inertial systems).

Are called 4 component Lorentz-Spinor.

And that was it about the spinor. But this type explanation tells me literally nothing (since my mathematical knowledge are not sufficient).

So is there a book one can recommend?