A Handbook of Critical Approaches to Literature: Fourth Edition by Wilfred Guerin, Earle Labor, Lee Morgan, Jeanne C. Reesman, and John R. Willingham.
Literary Criticism: An Introduction to Theory and Practice (3rd Edition) by Charles E. Bressler.
Literary Theory: The Basics by Johannes Willem Bertens.
Literary Theory: An Introduction by Terry Eagleton (**This book is recommended if you want to see the benefits and problems with many of the different critical approaches).
The Norton Anthology of Theory and Criticism edited by Vincent B. Leitch.
If you use this style when approaching the text of the play, you might want to focus on the style of rule in Denmark during Shakespeare's time. It would also be helpful to note the way revenge was viewed by the people in England {The people whom these plays were written for} during this time. Revenge was viewed as a sin against both God and the State. When one kills as an act of revenge it was thought that God would be offended because he was the one that was supposed to control human life. When someone was killed un-naturally it was perceived as a great violation of what was accepted as right. How does this change the meaning of Prince Hamlet's choices in the play? Also, one could examine the Catholic notion of Purgatory, and examine what role Purgatory played in the newly Protestant England. Catholics viewed Purgatory as a middle ground between Heaven and Hell where people could go to work off venial sins (or non-mortal sins, murder was a mortal sin). There was no such thing as Purgatory in the Protestant religion. Audience members would have had to decide whether to view the ghost of King Hamlet, who appears in Act I of the play, as a ghost sent from a Purgatory they did not believe in to seek vengeance for his murder or whether they should adhere to what their faith dictated and see the ghost as a demon sent from Hell to insight murder. Using all these insights, a reader could begin to re-examine the character of Hamlet as well as some of the other supporting players in the story.