Introductory technical guidance for professional engineers interested in design of foundations for vibration and seismic conditions. Here is what is discussed: 1. INTRODUCTION, 2. SINGLE DEGREE OF FREEDOM, DAMPED, FORCED SYSTEMS, 3. FOUNDATIONS ON ELASTIC SOILS, 4. WAVE TRANSMISSION, ATTENUATION, AND ISOLATION, 5. EVALUATION OF S-WAVE VELOCITY IN SOILS, 6. SETTLEMENT AND LIQUIFACTION.