Mathematical Models : From the Collections of Universities and Museums - Photograph Volume and Commentary （2. Aufl. 2017. xix, 216 S. XIX, 216 p. 220 illus., 9 illus. in color.）

Herausgegeben von Fischer, Gerd

SPRINGER, BERLIN; SPRINGER FACHMEDIEN WIESBADEN; SPRI（2017発売）

• 製本 Paperback:紙装版/ペーパーバック版
• 商品コード 9783658188641

Full Description

This book presents beautiful photos of mathematical models of geometric surfaces made from a variety of materials including plaster, metal, paper, wood, and string. The construction of these models at the time (of Felix Klein and others) was not an end in itself, but was accompanied by mathematical research especially in the field of algebraic geometry. The models were used to illustrate the mathematical objects defined by abstract formulas, either as equations or parameterizations. In the second part of the book, the models are explained by experts in the field of geometry.

This book is a reprint thirty years after the original publication in 1986 with a new preface by Gert-Martin Greuel. The models have a timeless appeal and a historical value.

Contents

Elementary Analytic Geometry.- Algebraic Surfaces.- Differential Geometry.- Convex Bodies of Constant Width.- Regular Star-Polyhedra.- Models of the Real Projective Plane.- Functions.