👉 Mathematics of baths, or hydrotherapy, involves understanding the physical properties of water and their interactions with the human body to optimize therapeutic benefits. The key concepts include fluid dynamics, thermodynamics, and biomechanics. Fluid dynamics helps explain how water pressure and flow affect muscle relaxation, circulation, and pain relief. Thermodynamics is crucial for managing temperature gradients to enhance therapeutic effects, such as using warm baths to soothe sore muscles or cold baths to reduce inflammation. Biomechanics studies how water resistance and buoyancy can alleviate joint pain and improve mobility. Additionally, mathematical models are used to calculate optimal water temperatures, flow rates, and durations for specific treatments, ensuring safety and efficacy. These principles collectively guide the design of hydrotherapy sessions to maximize their healing potential.