This monograph, titled "Minimal Surfaces and Functions of Bounded Variation," is edited by A. Borel, J. Moser, and S.-T. Yau and authored by Enrico Giusti. It is part of the Monographs in Mathematics series, Volume 80, published by Springer Science+Business Media, LLC. The book is dedicated to the study of minimal surfaces and functions of bounded variation, covering both parametric and non-parametric minimal surfaces. The first part of the book focuses on parametric minimal surfaces, starting with an introduction to functions of bounded variation and Caccioppoli sets. It delves into the regularity of minimal surfaces, the existence of minimal cones, and the dimension of the singular set. The second part addresses non-parametric minimal surfaces, exploring the classical Dirichlet problem, boundary regularity, and the Bernstein problem. Key topics include the work of Douglas and Radó, De Giorgi, Reifenberg, Federer, Fleming, Almgren, and Simons. The book provides a comprehensive treatment of the theory, including proofs and extensions of existing results, and aims to present a self-contained theory suitable for readers with a background in measure theory and elliptic partial differential equations.This monograph, titled "Minimal Surfaces and Functions of Bounded Variation," is edited by A. Borel, J. Moser, and S.-T. Yau and authored by Enrico Giusti. It is part of the Monographs in Mathematics series, Volume 80, published by Springer Science+Business Media, LLC. The book is dedicated to the study of minimal surfaces and functions of bounded variation, covering both parametric and non-parametric minimal surfaces. The first part of the book focuses on parametric minimal surfaces, starting with an introduction to functions of bounded variation and Caccioppoli sets. It delves into the regularity of minimal surfaces, the existence of minimal cones, and the dimension of the singular set. The second part addresses non-parametric minimal surfaces, exploring the classical Dirichlet problem, boundary regularity, and the Bernstein problem. Key topics include the work of Douglas and Radó, De Giorgi, Reifenberg, Federer, Fleming, Almgren, and Simons. The book provides a comprehensive treatment of the theory, including proofs and extensions of existing results, and aims to present a self-contained theory suitable for readers with a background in measure theory and elliptic partial differential equations.