Project and Project Management definition

Project:

"A project is a unique series of actions designed to accomplish a unique goal within specific time and cost limitations."

"A project is a temporary organization that is created for the purpose of delivering one or more business products according to an agreed Business Case.”

Temporary refers to each project has a definite beginning and end
Organization refers to project team

(Projects that continue forever are known as business as usual or operation.)
Business Case Reasons for the project

Project Management:

Project Management is the planning, delegating, monitoring and controlling all aspects of a project, and the motivation of those involved, to achieve the project objectives within the expected performance tarets of time, cost, quality, scope, benefits and risks.