This book guides the reader through the subject of heat transfer, covering the analytical, coding, finite element, and hybrid methods of thermal modeling. It leads the reader through the processes of model creation for heat transfer analysis and validating them using analytical techniques and partial differential equations. The primary focus is on the MATLAB (R) and COMSOL Multiphysics (R) software packages. The content can be utilized in a variety of engineering disciplines including mechanical, aerospace, biomedical, chemical, civil, and electrical. Mathematicians, analysts, and scientists might also benefit from the content, because it provides the reader with an introduction to the heat transfer science as well as numerical and analytical thermal modeling. Companion files with models and full color figures from the book are included. FEATURES: Includes 2D and 3D thermal modeling examples created with COMSOL Multiphysics version 5.6 (Heat Transfer Module) as well as general guidance on geometry creation and import Covers 2D and 3D thermal modeling examples created with the MATLAB PDE Toolbox and axisymmetric 2D thermal modeling examples created with the MATLAB PDE Modeler Provides case studies and example models which enable the reader to implement conceptual material in practical scenarios with broad industrial applications Validation of FEM analyses with analytical approaches Features an introduction to MATLAB v.R2021 for readers with no prior knowledge of the software Includes companion files with the models created with COMSOL Multiphysics and MATLAB.