Vinyasa is a style of yoga characterized by a variable sequence of postures with a flow from one posture to another, seamlessly, syncronising with breath. There is a repetition of postures sequenced in the pratice for builiding strength as well as flexibilty.
As a philosophy, Vinyasa recognizes the temporary nature of things. We enter into a posture, are there for a while and then leave.
While Vinyasa, or Vinyasa-Krama, dates back to the Vedic age—the earliest period of yoga thousands of years ago—it referred to a series, or sequence of steps, to make something sacred.
The movement practice of Vinyasa is said to begin with T Krishnamacharya who has had the largest influence on how yoga, in general, is practiced today.
Vinyasa is a breath initiated practice, that connects every action of our life with the intention of moving towards what is sacred, or most important to us.