Mathematical Models
From the Collections of Universities and Museums – Photograph Volume and Commentary
Editors: Fischer, Gerd (Ed.)
Free Preview- Plaster Models et al. in geometry
- Reprint of the 1986 edition in one volume
- With a new preface by Gert-Martin Greuel
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- About this book
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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.
- About the authors
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Prof. Dr. Gerd Fischer, Department of Mathematics, Technical University of Munich
- Reviews
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“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)
- Table of contents (14 chapters)
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Elementary Analytic Geometry
Pages 1-10
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Algebraic Surfaces
Pages 11-56
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Differential Geometry
Pages 57-93
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Convex Bodies of Constant Width
Pages 95-100
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Regular Star-Polyhedra
Pages 101-105
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Table of contents (14 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Mathematical Models
- Book Subtitle
- From the Collections of Universities and Museums – Photograph Volume and Commentary
- Editors
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- Gerd Fischer
- Copyright
- 2017
- Publisher
- Springer Spektrum
- Copyright Holder
- Springer Fachmedien Wiesbaden GmbH
- eBook ISBN
- 978-3-658-18865-8
- DOI
- 10.1007/978-3-658-18865-8
- Softcover ISBN
- 978-3-658-18864-1
- Edition Number
- 2
- Number of Pages
- XIX, 216
- Number of Illustrations
- 211 b/w illustrations, 9 illustrations in colour
- Additional Information
- The first edition was published in 2 volumes
- Topics
