Introduction to Solid-State Theory is a textbook for graduate students of physics and materials science. It also provides the theoretical background needed by physicists doing research in pure solid-state physics and its applications to electrical engineering. The fundamentals of solid-state theory are based on a description by delocalized and localized states and - within the concept of delocalized states - by elementary excitations. The development of solid-state theory within the last ten years has shown that by a systematic introduction of these concepts, large parts of the theory can be described in a unified way. This form of description gives a pictorial formulation of many elementary processes in solids, which facilitates their understanding.???Introduction to Solid-State Theory is a textbook for graduate students of physics and materials science. It also provides the theoretical background needed by physicists doing research in pure solid-state physics and its applications to electrical engineering. The fundamentals of solid-state theory are based on a description by delocalized and localized states and - within the concept of delocalized states - by elementary excitations. The development of solid-state theory within the last ten years has shown that by a systematic introduction of these concepts, large parts of the theory can be described in a unified way. This form of description gives a pictorial formulation of many elementary processes in solids, which facilitates their understanding.???1. Fundamentals.- 1.1 Introduction.- 1.2 The Basic Hamiltonian.- 1.3 The Hartree-Fock Approximation.- 2. The One-Electron Approximation.- 2.1 The Electron Gas Without Interaction.- 2.1.1 Introduction.- 2.1.2 The Energy States.- 2.1.3 Excited States.- 2.1.4 The Fermi Distribution.- 2.1.5 Free Electrons in an Electric Field.- 2.1.6 Free Electrons in a Magnetic Field.- 2.1.7 Dia- and Paramagnetism of Free Electrons, the de Haasvan l“.