The Springer Series in Solid-State Sciences, edited by Manuel Cardona, Peter Fulde, and Hans-Joachim Queisser, includes volumes on various topics in solid-state physics. Volume 41, "The LMTO Method: Muffin-Tin Orbitals and Electronic Structure," by Hans L. Skriver, presents a linear method for calculating electronic structure. This method simplifies band-structure calculations and provides a physically meaningful approach, allowing non-specialists to perform calculations and interpret experimental results. The book includes computer programs for self-consistent band-structure calculations and potential parameters for metallic elements. Skriver acknowledges the contributions of colleagues and predecessors, including Ole K. Andersen, Ove Jepsen, and Ole Krogh Andersen, who helped develop the LMTO method. The book is organized into chapters covering canonical band theory, one-electron states, physically significant parameters, the linear method, the atomic-sphere approximation, ground-state properties, many atoms per cell, and computer programs. It also includes a list of symbols and references. The book aims to provide a comprehensive description of the LMTO method while emphasizing its physical content and practical applications in solid-state physics.The Springer Series in Solid-State Sciences, edited by Manuel Cardona, Peter Fulde, and Hans-Joachim Queisser, includes volumes on various topics in solid-state physics. Volume 41, "The LMTO Method: Muffin-Tin Orbitals and Electronic Structure," by Hans L. Skriver, presents a linear method for calculating electronic structure. This method simplifies band-structure calculations and provides a physically meaningful approach, allowing non-specialists to perform calculations and interpret experimental results. The book includes computer programs for self-consistent band-structure calculations and potential parameters for metallic elements. Skriver acknowledges the contributions of colleagues and predecessors, including Ole K. Andersen, Ove Jepsen, and Ole Krogh Andersen, who helped develop the LMTO method. The book is organized into chapters covering canonical band theory, one-electron states, physically significant parameters, the linear method, the atomic-sphere approximation, ground-state properties, many atoms per cell, and computer programs. It also includes a list of symbols and references. The book aims to provide a comprehensive description of the LMTO method while emphasizing its physical content and practical applications in solid-state physics.