If set of relations always predict real experiments correctly, then the set of relations is called a theory of a physics field.

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Kinematics: vector calculus in Euclidian space
Mechanics: Vector fields; differential equations,
Thermodynamics: exterior (Cartan's) differentials.
General Relativity: Tensor calculus, Connections; variably curved 4-space.
Quantum Theory: Hilbert Space; (not the Banach Space!) ; Path Integrals; distributions;

Clearly, Thermodynamics is easiest for you as a nutshell.

We need from you the content-MathML for these fields in the physics used to notation.