Software as a Service (SaaS) Defined

Definition from Salesforce.com

Software as a service (or SaaS) is a way of delivering applications over the Internet—as a service. Instead of installing and maintaining software, you simply access it via the Internet, freeing yourself from complex software and hardware management.

SaaS applications are sometimes called Web-based software, on-demand software, or hosted software. Whatever the name, SaaS applications run on a SaaS provider’s servers. The provider manages access to the application, including security, availability, and performance.

See more on this topic by Salesforce.com
See also Paas (Platform as a Service) as defined by Salesforce.com

Software as a Service (SaaS, typically pronounced 'sass') is a model of software deployment whereby a provider licenses an application to customers for use as a service on demand. SaaS software vendors may host the application on their own web servers or download the application to the consumer device, disabling it after use or after the on-demand contract expires. The on-demand function may be handled internally to share licenses within a firm or by a third-party application service provider (ASP) sharing licenses between firms.

See more on this topic from Wikipedia
See also IaaS (Infrastructure as a Service) as defined by Wikipedia
See also PaaS (Platform as a Service) as defined by Wikipedia