What are the prerequisites for Terence Tao's Additive Combinatorics book? The title says it all, i want to know what are the mathematical prerequisites to work through Tao's additive combinatorics book.


The authors Terence Tao and Van H. Vu recommend in the Prologue of Additive Combinatorics some familiarity with

*

*elementary combinatorics


*harmonic analysis


*convex geometry


*incidence geometry


*graph theory


*probability


*algebraic geometry and


*ergodic theory.
They also write after providing us with the list above:

*

*... this wealth of perspectives makes additive combinatorics a rich, fascinating, and multi-faceted subject.


*... The main purpose of this book is to gather all these diverse tools in one location, present them in a self-contained and introductory manner, and illustrate their application to problems in additive combinatorics.

You might also find the

*

*AMS review by Ben Green and the


*Review of Additive Combinatorics (see p. 16 - 18) by Raghunath Tewari
helpful and informative.
