Mathematical Models: From the Collections of Universities and Museums - Photograph Volume and Commentary

ISBN-13: 9783658188641 / Angielski / Miękka / 2017 / 216 str.

Gerd Fischer

Opis

This book presents beautiful photos of mathematical models of geometric surfaces made from a variety of materials including plaster, metal, paper, wood, and string.

Recenzje

"It features 120 photographs of mathematical models from the second half of the 19th and early 20th century. ... this book has a lot to teach about aesthetics and didactics of mathematical visualization - two aspects that will retain their importance in our times and in future." (Hans-Peter Schröcker, zbMATH 1386.00007, 2018)

Spis treści

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

O autorze

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

Blurb

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.

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