Encyclopedia of Analytical Surfaces

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.

Presents an all-embracing collection of analytical surface classes Comprises over 500 surfaces incorporating 38 classes of analytical surfaces Offers a valuable reference for structural and civil engineers and mathematicians Includes cross references to the original literature in an excellent bibliography Includes supplementary material: sn.pub/extras

Autorentext

Vyacheslav Ivanov and Sergey Krivoshapko are both Doctor of Technical Sciences, and Professor at Peoples' Friendship University of Russia, Moscow.

Inhalt
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.