Explore the fascinating world of millisecond pulsars in this comprehensive 2-hour 15-minute lecture by Professor G Srinivasan. Delve into the discovery and evolution of these rapidly rotating neutron stars, their role in binary systems, and their importance in astrophysics. Learn about recycled pulsars, the Hulse-Taylor binary pulsar, and the concept of spin-up in neutron stars. Examine the Eddington luminosity limit, equilibrium periods, and the population of millisecond pulsars. Investigate the evolution of magnetic fields in neutron stars, including superfluid cores and type II superconductivity. Discover the connection between millisecond pulsars and gamma-ray sources, and their potential as gravitational wave detectors. Gain insights into pulsar timing arrays and their significance in modern astrophysics. This lecture, part of a summer course on astrophysics, offers a deep dive into the physics and astronomy of these remarkable cosmic objects.