Discuss the many roles of Prospero in Shakespeares "The Tempest"

In the play "The Tempest" written by Shakespeare, there are many different roles that Prospero plays. He has four major roles that I shall discuss as Duke of Milan, father to Miranda, master to Ariel and Caliban, and as a powerful magician.
<Tab/>Prospero was the Duke of Milan as he was usurped by his brother Antonio and exiled to an isolated island. He is quite a reluctant leader, "I thus neglecting worldly ends," and he is perhaps regretful of the way he approached past duties. His study of liberal arts began to get in the way of his duties as leader and Duke, "And Prospero…