This book consists of research-focused information regarding heat conduction and aims to serve as an efficient guide for comprehending the concepts of heat conduction. It presents various aspects of heat conduction theory like inverse heat conduction difficulties, coupled thermal and electromagnetic or mechanical effects and also, numerical methods for solving heat conduction equations. Other topics discussed in the book include inverse heat conduction difficulties, defining analytical explanations of nonlinear heat conduction difficulties, wavelike solutions, mixed effects of heat conduction in plasmas or in pyroelectric material elastic deformations. It also demonstrates numerical methods for solving heat conduction problems.