Dmitry Buzoverya introduces agile methodologies, emphasizing the limitations of traditional software development in handling evolving requirements and the need for customer collaboration. The Agile Manifesto, developed in 2001 by a group of thinkers, prioritizes individuals and interactions, working software, and responding to change over rigid processes. Various agile practices, including Extreme Programming, Scrum, Lean, and Kanban, facilitate efficient project management, emphasizing flexibility and continuous delivery of valuable software.