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.