Visualization and Mathematics
Experiments, Simulations and Environments
Editors: Hege, H.-C., Polthier, Konrad (Eds.)
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- About this book
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Visualization and mathematics have begun a fruitful relationship, establishing many links between problems and solutions of both fields. In some areas of mathematics, such as numerical mathematics and differential geometry, visualization techniques are applied with great success. On the other hand, visualization methods are relying heavily on mathematical concepts.
Applications of visualization in mathematical research as well as the use of mathematical methods in visualization have been topic of an international workshop in Berlin in June 1995. Selected contributions treat topics of particular interest in current research, addressing subjects like visualization of mathematical spaces, visualization and simulation techniques, mathematical experiments, graphics environments, and description and modeling of geometric objects. Experts in these fields are reporting on their latest work, giving an overview on this fascinating new area. The reader will get insight to state-of-the-art techniques for solving visualization problems and mathematical questions.
- Table of contents (22 chapters)
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The Minimax Sphere Eversion
Pages 3-20
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Exploring Plane Hyperbolic Geometry
Pages 21-36
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Visualizing Nonlinear Electrodynamics
Pages 37-51
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The Use of Computer Graphics for Solving Problems in Singularity Theory
Pages 53-66
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What Should a Surface in 4-Space Look Like?
Pages 67-82
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Table of contents (22 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Visualization and Mathematics
- Book Subtitle
- Experiments, Simulations and Environments
- Editors
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- H.-C. Hege
- Konrad Polthier
- Copyright
- 1997
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-59195-2
- DOI
- 10.1007/978-3-642-59195-2
- Softcover ISBN
- 978-3-642-63891-6
- Edition Number
- 1
- Number of Pages
- XIX, 388
- Number of Illustrations
- 154 b/w illustrations, 45 illustrations in colour
- Topics
