Part I: Basic Concepts -- Laws of Macroscopic Heat Transfer and Their Limits -- Transport in Dilute Media -- Electrons and Phonons -- Introduction to Radiative Transfer -- Part II: Models and Numerical Methods -- Solution of the Boltzmann Equation for Phonon Transport -- Radiative Transfer on Short Length Scales -- Monte Carlo Method -- Molecular Dynamics -- Part III: Experimental Methods and Applications -- Scanning Thermal Microscopy -- Optical Technique for Local Measurement -- Hybrid Techniques and Multipurpose Microscopes -- Electron-Phonon Interactions in Metals and Metallic Nanostructures -- Investigation of Short-Time Heat Transfer Effects by an Optical Pump-Probe Method.