Deleuze and Guattari's sensitivity to spatiality, movement, region, territory, boundary and landscape has long been recognised as central to their thought. Deleuze's theories of multiplicity and territory redraw the conceptions of space, time, body and representation he inherits from the European tradition. This book introduces students to Deleuze's key concepts by applying them to urban, environmental and architectural themes. Arun Saldanha summarizes the main conceptual problems addressed in the Deleuzian corpus that are useful for critically understanding our place in global flows. He goes on to construct a systematic Deleuzian theory of spacetime with an eye on settling epistemological and methodological deadlocks about space. This is the first book to make clear to a student audience how Deleuze and thinkers close to him (Guattari, Foucault, Marx, Darwin) allow for a robust and politically engaged framework for studying spatial phenomena such as cities, nation-states, climate change, migration and map art.