Topological quantum computers promise a fault tolerant means to perform quantum computation topological quantum computers use particles with exotic exchange statistics called non abelian anyons and the simplest anyon model which allows for universal quantum computation by particle exchange or braiding alone is the fibonacci anyon model. This review presents an entry level introduction to topological quantum computation quantum computing with anyons we introduce anyons at the system independent level of anyon models and discuss the key concepts of protected fusion spaces and statistical quantum evolutions for encoding and processing quantum information. Combining physics mathematics and computer science topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. Topological quantum computers promise a fault tolerant means to perform quantum computation topological quantum computers use particles with exotic exchange statistics called non abelian anyons and the simplest anyon model which allows for universal quantum computation by particle exchange or braiding alone is the fibonacci anyon model