Invasive blood pressure monitoring (IBP) is a technique used primarily in intensive care units and operating theatres that allows for accurate, continuous, beat-to-beat blood pressure readings, especially in critical conditions. The procedure involves the insertion of a catheter into an artery and has roots tracing back to Stephen Hales' first attempt in 1733. Advantages of IBP include real-time monitoring and the ability to obtain arterial blood samples, although the method carries risks and complexities.