Power Bi Service Vs Desktop. The whitepaper by chris webb and melissa coates also includes a comparison between power bi service and power bi report server (jun 2017 version). They're made up of three sections:
A report can have multiple pages of visualization. Power bi service is online or cloud based service. Share reports in seconds with your organization using power bi on the web.
There are tasks you can do in either power bi desktop or the service.
Power bi desktop is offline or desktop application. The whitepaper by chris webb and melissa coates also includes a comparison between power bi service and power bi report server (jun 2017 version). Power bi desktop is a tool in which you can connect data, transform and shape data, make report with your data. I always recommend to power bi authors that report creation & editing should happen in power bi desktop and to just ignore the edit capability in the power bi service.