Medical apparatus for human and veterinary use for warming [ and cooling ] a patient's body temperature, comprising an air convective device, a hose, a gown or blanket, sensors, controls, and parts and fittings therefor; [ medical apparatus for human and veterinary use for warming blood and IV fluids, and parts and fittings therefor; ] and medical devices for monitoring and recording a patient's temperature, comprising a sensor, control and display unit and cable