Visit the websites of different manufacturers to obtain general information about inverters and details of their uses. Power Stream is one such site that supplies an FAQ about inverters.
Research articles produced by laboratories. Laboratories are a source for historical information about inverters and some labs produce articles about their efforts to design and improve inverters. Oak Ridge National Laboratory, for example, is a source that offers articles about the ORNL Inverter under development for electric cars.
Try a construction kit. Creative Science offers a kit with step-by-step instructions to help you build stackable power inverters from a design template.
Pursue an electrical engineering degree. Inverters are the result of engineers tackling options to improve electricity use. Working toward a degree in electrical engineering will give you an opportunity to learn about inverters and work with them in hands-on environments.