This book presents a detailed exposition of the quantum field RG technique and its applications to various problems in the classical theory of critical behavior and stochastic dynamics. It focuses primarily on giving an in-depth description of the computation techniques and is the first book to give a full technical introduction to the field. Self-contained, clearly written, and well organized, Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics forms an outstanding reference for researchers in theoretical physics, applied mathematics, statistical physics, and fluid dynamics and is accessible to anyone familiar with the basics of statistical physics.