Dayne Jones provides an overview of asynchronous Python programming. He discusses how asynchronous programming works by using callbacks and event loops to avoid blocking and improve efficiency. Common use cases for asynchronous programming include real-time web applications with long-lived connections, network I/O like HTTP requests, database queries, and filesystem operations. The major asynchronous libraries for Python include Tornado, asyncio, Twisted, Gevent, and Cyclone. Asynchronous programming allows for high throughput by keeping threads busy handling I/O instead of blocking on single operations.