The book contains a structured collection of complete solutions to all relevant plane contact problems. Classic profiles – such as the cylinder, the wedge, or the rectangular flat punch – are considered under centric and eccentric loading, but also a variety of other technically relevant shapes, such as the flat punch with rounded edges, the wedge with rounded tip, or wavy surfaces. With regard to the load configuration, adhesive and non-adhesive normal contacts, tangential contacts, and rolling contacts are considered. The materials considered are elastic isotropic, transversally isotropic, viscoelastic, and functionally graded media. The solutions given are derived in the simplest way available, and, in addition to the macroscopic relationships between load and contact configuration, include the stress fields in the surface and, where applicable, within the contacting bodies.