Visualization and Mathematics

Experiments, Simulations and Environments

Buch | Hardcover

XIX, 388 Seiten

1997 | 1., 997
Springer Berlin (Verlag)
978-3-540-61269-8 (ISBN)

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Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields. In some areas of mathematics, like differential geometry and numerical mathematics, visualization techniques are applied with great success. However, visualization methods are relying heavily on mathematical concepts.
Applications of visualization in mathematical research and 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. Experts 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.

Prof. Dr. Konrad Polthier ist Professor für Mathematik an der Freien Universität Berlin und am DFG-Forschungszentrum MATHEON. Er hat mehrere Fachbücher zur mathematischen Visualisierung und unterhaltsame Videos zur Mathematik veröffentlicht.

Part I. Visualizing Mathematics (with contributions by K.A.Brakke, G.Chappell, G.Francis, C.Hartman, B.Hausmann, R.B.Kusner, G.Martin, R.J.Morris, D.Roseman, M.Ruhl, D.Saupe, H.-P.Seidel, B.Slopianka, I.Sterling and J.M.Sullivan).
Part II. Geometric Algorithms and Experiments (with contributions by K.A.Brakke, G.Große-Brauckmann, D.H.Huson, B.Oberknapp, K.Polthier and J.M.Sullivan).
Part III. Visualization Algorithms and Data Structures (with contributions by H.Battke, H.-C.Hege, M.Kohler, H.Müller, M.Rumpf, B.Schupp and D.Stalling).
Part IV. Visualization Environments (with contributions by M.Alefeld, E.Beier, M.Dewar, D.W.Fellner, C.Gunn, J.Haber, A.Heim, J.Lemordant, A.Ortmann, U.Pinkall, K.Polthier, U.Schwarz, J.Walton);
Part V. Visualization and Simulation Techniques (with contributions by R.Beck, P.Deuflhard, Th.Geßner, H.C.Hege, D.Kröner, R.Malladi, M.Seebaß, J.A.Sethian, D.Stalling and M.Wierse).
Appendix: Color Plates (28 pp.)

Sprache	englisch
Maße	155 x 235 mm
Gewicht	730 g
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Computer Graphics • Computergraphik • Differentialgeometrie • Differential Geometry • Numerical Mathematics • Numerische Mathematik • Scientific Computing • Scientific visualization • Visualisierung • wissenschaftliches Rechnen • Wissenschaftliche Visualisierung
ISBN-10	3-540-61269-6 / 3540612696
ISBN-13	978-3-540-61269-8 / 9783540612698
Zustand	Neuware