•Balanced coverage of fundamentals of materials modeling, as well as more advanced aspects of modeling, such as modeling at all scales from the atomic to the molecular to the macro-material•Concise, yet rigorous mathematical coverage of such analytical tools as the Potts type Monte Carlo method, cellular automata, phase field, dislocation dynamics and Finite Element Analysis in statistical and analytical modeling•Companion web site will offer ample workable programs, along with suggested projects, resources for further reading, and useful classroom exercisesComputational Materials Engineering is a single source of the major elements that make up contemporary computer modeling of materials characteristics and behavior. This is the first advanced text/reference to cover the essential theoretical aspects of materials modeling, with a particular emphasis on polycrystalline materials-including the physical, thermal and chemical parameters-and the mathematical tools used to perform simulations, as well as specific applications to modeling real materials. Readers will first gain an understanding of the underlying statistical and analytical tools that are the basis for modeling complex material interactions, including an understanding of computational thermodynamics and molecular kinetics. Then, they will learn to use various modeling systems such as Finite Element Analysis and FiniteDifference Analysis to generate mathematical representations of material processes. Finally, the book will offer its readers a variety of algorithms to use in solving typical modeling problems so that the theory presented herein can be put to real-world use.