This book, authored by P. A. Markowich, C. A. Ringhofer, and C. Schmeiser, provides a comprehensive overview of the mathematical modeling of charge transport in semiconductors. It covers a wide range of topics, from kinetic transport models to the drift-diffusion equations, and is aimed at applied mathematicians, electrical engineers, and solid-state physicists. The book emphasizes the derivation of models and the physical and mathematical assumptions behind them, while also providing practical insights into the properties and features of the model equations. The content is structured into several chapters, starting with kinetic transport models, including the (semi-)classical Liouville equation, the Boltzmann equation, and the quantum Liouville equation. It then delves into the derivation of fluid dynamical models from kinetic models, leading to the drift-diffusion equations. The book also explores various applications and extensions of these models, such as multi-valley models, bipolar models, and tunneling devices. Each chapter includes problems for further study, making the book suitable for advanced graduate courses. The authors acknowledge the contributions of numerous colleagues and institutions, and the book is supported by grants from various organizations.This book, authored by P. A. Markowich, C. A. Ringhofer, and C. Schmeiser, provides a comprehensive overview of the mathematical modeling of charge transport in semiconductors. It covers a wide range of topics, from kinetic transport models to the drift-diffusion equations, and is aimed at applied mathematicians, electrical engineers, and solid-state physicists. The book emphasizes the derivation of models and the physical and mathematical assumptions behind them, while also providing practical insights into the properties and features of the model equations. The content is structured into several chapters, starting with kinetic transport models, including the (semi-)classical Liouville equation, the Boltzmann equation, and the quantum Liouville equation. It then delves into the derivation of fluid dynamical models from kinetic models, leading to the drift-diffusion equations. The book also explores various applications and extensions of these models, such as multi-valley models, bipolar models, and tunneling devices. Each chapter includes problems for further study, making the book suitable for advanced graduate courses. The authors acknowledge the contributions of numerous colleagues and institutions, and the book is supported by grants from various organizations.