Visualization and Mathematics [electronic resource] : Experiments, Simulations and Environments /

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.

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Bibliographic Details
Main Authors: Hege, Hans-Christian. editor., Polthier, Konrad. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997
Subjects:Mathematics., Computer graphics., Global analysis (Mathematics)., Manifolds (Mathematics)., Visualization., Differential geometry., Topology., Differential Geometry., Computer Graphics., Global Analysis and Analysis on Manifolds.,
Online Access:http://dx.doi.org/10.1007/978-3-642-59195-2
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Description
Summary: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.