👉 Physics is fundamentally rooted in mathematical principles, using equations to describe and predict the behavior of physical systems. Newton's laws of motion, for instance, are expressed as differential equations that relate forces to accelerations and velocities. The laws of thermodynamics are formulated using statistical mechanics, involving integrals over microstates to derive macroscopic properties like temperature and entropy. Electromagnetism is described by Maxwell's equations, a set of four coupled partial differential equations that unify electric and magnetic fields. Quantum mechanics relies heavily on wave functions, represented by complex-valued probability amplitudes, governed by the Schrödinger equation. These mathematical formulations allow physicists to model and analyze everything from subatomic particles to cosmic phenomena, illustrating the deep connection between mathematical rigor and physical reality.
