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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.
List of contents
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.
About the author
Vyacheslav Ivanov and Sergey Krivoshapko are both Doctor of Technical Sciences, and Professor at Peoples’ Friendship University of Russia, Moscow.
Summary
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.
Additional text
“The book under review is an encyclopedic
publication about analytical and differential geometry of regular analytic
surfaces, which found application in various branches of mathematics,
engineering and construction. … The book is intended for geometers, architects,
builders and professionals dealing not only with geometry, but also people
interested in fluid mechanics, optics and others. It will be useful to
university teachers, school teachers, graduate students and students.” (Ivailo
Mladenov, zbMATH 1321.53001, 2015)
Report
"The book under review is an encyclopedic publication about analytical and differential geometry of regular analytic surfaces, which found application in various branches of mathematics, engineering and construction. ... The book is intended for geometers, architects, builders and professionals dealing not only with geometry, but also people interested in fluid mechanics, optics and others. It will be useful to university teachers, school teachers, graduate students and students." (Ivailo Mladenov, zbMATH 1321.53001, 2015)
