Emphasising essential methods and universal principles‎,‎ this textbook provides everything students need to understand the basics of simulating materials behaviour‎.‎ All the key topics are covered from electronic structure methods to microstructural evolution‎,‎ appendices provide crucial background material‎,‎ and a wealth of practical resources are available online to complete the teaching package‎.‎ Modelling is examined at a broad range of scales‎,‎ from the atomic to the mesoscale‎,‎ providing students with a solid foundation for future study and research‎.‎ Detailed‎,‎ accessible explanations of the fundamental equations underpinning materials modelling are presented‎,‎ including a full chapter summarising essential mathematical background‎.‎ Extensive appendices‎,‎ including essential background on classical and quantum mechanics‎,‎ electrostatics‎,‎ statistical thermodynamics and linear elasticity‎,‎ provide the background necessary to fully engage with the fundamentals of computational modelling‎.‎ Exercises‎,‎ worked examples‎,‎ computer codes and discussions of practical implementations methods are all provided online giving students the hands‎-on experience they need‎.‎