This book, "Lectures on Phase Transitions and the Renormalization Group" by Nigel Goldenfeld, is a comprehensive introduction to the theory of phase transitions and the renormalization group. Published by Taylor & Francis in 2018, the book is based on lectures given at the University of Illinois at Urbana-Champaign. It covers the fundamental concepts and applications of phase transitions and the renormalization group, making it suitable for both graduate students and researchers in physics. The book begins with an introduction to scaling and dimensional analysis, providing examples such as Kepler's law and the shallow water wave speed to illustrate these concepts. It then delves into the critical phenomena in fluids, the Landau theory, and the breakdown of Landau theory due to fluctuations. The author discusses the renormalization group in detail, including its basic ideas, fixed points, and applications to classical and non-classical systems. The book also explores anomalous dimensions, scaling in static and dynamic phenomena, and the renormalization group in non-equilibrium systems. Key topics include the Ising model, mean-field theory, critical exponents, and the renormalization group for the two-dimensional Ising model. The author emphasizes the practical aspects of phase transitions and the renormalization group, providing clear explanations and numerous exercises to help readers understand the material. The book concludes with a discussion of continuous symmetry, critical phenomena near four dimensions, and the epsilon expansion. Overall, the book aims to provide a broad and accessible introduction to the renormalization group, making it a valuable resource for students and researchers in condensed matter physics and related fields.This book, "Lectures on Phase Transitions and the Renormalization Group" by Nigel Goldenfeld, is a comprehensive introduction to the theory of phase transitions and the renormalization group. Published by Taylor & Francis in 2018, the book is based on lectures given at the University of Illinois at Urbana-Champaign. It covers the fundamental concepts and applications of phase transitions and the renormalization group, making it suitable for both graduate students and researchers in physics. The book begins with an introduction to scaling and dimensional analysis, providing examples such as Kepler's law and the shallow water wave speed to illustrate these concepts. It then delves into the critical phenomena in fluids, the Landau theory, and the breakdown of Landau theory due to fluctuations. The author discusses the renormalization group in detail, including its basic ideas, fixed points, and applications to classical and non-classical systems. The book also explores anomalous dimensions, scaling in static and dynamic phenomena, and the renormalization group in non-equilibrium systems. Key topics include the Ising model, mean-field theory, critical exponents, and the renormalization group for the two-dimensional Ising model. The author emphasizes the practical aspects of phase transitions and the renormalization group, providing clear explanations and numerous exercises to help readers understand the material. The book concludes with a discussion of continuous symmetry, critical phenomena near four dimensions, and the epsilon expansion. Overall, the book aims to provide a broad and accessible introduction to the renormalization group, making it a valuable resource for students and researchers in condensed matter physics and related fields.