TITLE: A recommendation for a book on perverse sheaves
QUESTION [8 upvotes]: I would like to learn about perverse sheaves.
I will be grateful if someone could recommend me a book with the following structure.

Introduction to basic homotopy theory (derived category and t-structure)
Introduction to sheaves
Introduction to perverse sheaves

REPLY [8 votes]: Pramod Achar is working on a book on perverse sheaves and applications in representation theory.  It's a great book!
EDIT (2021): The book has now been published by the AMS: 
Perverse Sheaves and Applications to Representation Theory.