Mathematical Models

2. Auflage 2017
ISBN: 978-3-658-18864-1
Verlag: Springer

Buch, Englisch, 216 Seiten, Format (B × H): 223 mm x 245 mm, Gewicht: 649 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Fischer, Gerd

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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

Über Autor(innen)

Prof. Dr. Gerd Fischer, Department of Mathematics, Technical University of Munich