Surfaces of Revolution -- Translation Surfaces -- Carved Surfaces -- Surfaces of Congruent Sections -- Continuous Topographic and Topographic Surfaces -- Helical Surfaces -- Spiral Surfaces -- Spiral-Shaped Surfaces -- Helix-Shaped Surface -- Blutel  Surfaces -- Veronese  Surfaces -- Tzitzéica  Surfaces -- Peterson Surfaces -- Surfaces of Bézier -- Quasi-Ellipsoidal Surfaces -- Cyclic Surfaces -- One-Sided Surfaces -- Minimal Surfaces -- Affine Minimal Surfaces -- Surfaces With Spherical  Director Curve -- Weingarten Surfaces -- Surfaces of the Constant Gaussian Curvature -- Surfaces of the Constant Mean Curvature -- Wave-Shaped, Waving, and Corrugated Surfaces -- Surfaces of Umbrella Type -- Special Profiles of Cylindrical Products -- Bonnet Surfaces -- Edlinger's Surfaces -- Coons Surfaces -- Surfaces Given by Harmonic Functions -- Surfaces of Joachimsthal -- Saddle Surfaces -- Kinematical Surfaces of General Type -- The Second Order Surfaces -- Algebraic Surfaces of the High Orders -- Polyhedrons and Quasi-Polyhedrons -- Equidistances of Double Systems.

This encyclopedia presents an all-embracing collection of analytical surface classes. It provides concise definitions  and description for more than 500 surfaces and categorizes them in 38 classes of analytical surfaces. All classes are cross references to the original literature in an excellent bibliography. The encyclopedia is of particular interest to structural and civil engineers and serves as valuable reference for mathematicians.