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Visualization and Mathematics: Experiments, Simulations and Environments de H.-C. Hege

Visualization and Mathematics: Experiments, Simulations and Environments

Editat de H.-C. Hege, K. Polthier
en Limba Engleză Hardback – 24 iul 1997
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.
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Specificații

ISBN-13: 9783540612698
ISBN-10: 3540612696
Pagini: 386
Dimensiuni: 162 x 243 x 21 mm
Greutate: 0.73 kg
Editura: Springer Verlag
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.)

Descriere

This book is based on an international workshop held in Berlin in 1995. The workshop was met with great approval by mathematicians and computer graphic experts. It was considered a link between the fields "Visualization in Mathematics" and "Mathematical Methods in Computer Graphics".

Textul de pe ultima copertă

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.