"Broschiertes BuchWie sieht eine Kurve aus, die die ganze Ebene oder den Raum vollständig ausfüllt? Kann man einen Polyeder flexibel bewegen, ja sogar umstülpen? Was ist die projektive Ebene oder der vierdimensionale Raum? Gibt es Seifenblasen, die keine runden Kugel sind? Wie kann man die komplizierte Struktur von Strömungen besser verstehen?In diesem Buch erleben Sie die Mathematik von ihrer anschaulichen Seite und finden faszinierende ..."
"This book on multimedia tools for communicating mathematics arose from presentations at an international workshop organized at the Centro de Mate matica e Aplica""
"A collection of state-of-the-art presentations on visualization problems in mathematics, fundamental mathematical research in computer graphics, and software frameworks for the application of visualization to real-world problems. Contributions have been written by leading experts and peer-refereed by an international editorial team. The book grew out of the third international workshop ‘Visualization and Mathematics’, May 22-25, 2002 in ..."
"This research book on Mathematical Visualization contains state of the art presentations on visualization problems in mathematics, on fundamental mathematical research in computer graphics, and on software frameworks for the application of visualization to real-world problems.All contributions were written by leading experts in the field and peer-refereed by an international editorial team. The book grew out of the third international w ..."
"Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are di?erent methods of reaching this goal, topological methods stand out for their solid mathem- ical foundation, which guides the algorithmic analysis and its presentation. Topology-based methods in visualization have been around since the beg- ning of visualization as a scienti?c discipline, but they initially p ..."
"Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are di?erent methods of reaching this goal, topological methods stand out for their solid mathem- ical foundation, which guides the algorithmic analysis and its presentation. Topology-based methods in visualization have been around since the beg- ning of visualization as a scienti?c discipline, but they initially p ..."
"This book is a collection of papers presented at the “Forum Math-for-Industry 2015” for which the unifying theme was “The Role and Importance of Mathematics in Innovation”, held at the Institute of Mathematics for Industry, Kyushu University, October 26–30, 2015. The theme highlights two key roles that mathematics plays in supporting innovation in science, technology, and daily life, namely, needs-based and idea-based. For the former, m ..."
"This volume constitutes the refereed proceedings of the 11th International Workshop on Combinatorial Image Analysis, IWCIA 2006, held in Berlin, June 2006. The book presents 34 revised full papers together with two invited papers, covering topics including combinatorial image analysis; grammars and models for analysis and recognition of scenes and images; combinatorial topology and geometry for images; digita ..."
"This book on multimedia tools for communicating mathematics arose from presentations at an international workshop organized by the Centro de Matemática e Aplicacoes Fundamentais at the University of Lisbon, in November 2000, with the collaboration of the Sonderforschungsbereich 288 at the University of Technology in Berlin, and of the Centre for Experimental and Constructive Mathematics at Simon Fraser Univer ..."
"This book is a collection of papers presented at the Forum “The Impact of Applications on Mathematics” in October 2013. It describes an appropriate framework in which to highlight how real-world problems, over the centuries and today, have influenced and are influencing the development of mathematics and thereby, how mathematics is reshaped, in order to advance mathematics and its application. The contents of this book address productiv ..."
"À quoi ressemble une courbe qui recouvre tout le plan ou remplit l'espace tout entier ? Est-il possible de déformer un polyèdre, voire même de le retourner ? Qu'est-ce que le plan projectif ou l'espace de dimension quatre ? Existe-t-il des bulles de savon qui ne soient pas sphériques ? Comment peut-on arriver à mieux comprendre les tourbillons et la structure complexe des courants ? Pour répondre à toutes ces questions et bien d'autres ..."
"Wie sieht eine Kurve aus, die die ganze Ebene oder den Raum vollständig ausfüllt? Kann man einen Polyeder flexibel bewegen, ja sogar umstülpen? Was ist die projektive Ebene oder der vierdimensionale Raum? Gibt es Seifenblasen, die nicht die runde Kugel sind? Wie kann man die komplizierte Struktur von Strömungen besser verstehen?In diesem Buch erleben Sie die Mathematik von ihrer anschaulichen Seite und finden faszinierende und bisher ni ..."
"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 ..."
"How can one visualize a curve that fills the entire plane or all of space? Can a polyhedron be smoothly turned inside out? What is the projective plane? What does four-dimensional space look like? Can soap bubbles exist that are not spherical? How can one better understand the structure of vortices and currents? In this book you will experience mathematics from the visual point of view, discovering fascinating and never previously publi ..."
""Touching Soap Films is a well-prepared video product, introducing the world of minimal surfaces to the general audience. ... It is recommended to every mathematics club and public library... Some topics such as building tunnels into minimal surfaces are under current mathematical research, which makes the tape also worth watching by experts in this field." Hong You Wu, Mathematical Reviews. VHS/PAL video tape."
""Touching Soap Films is a well-prepared video product, introducing the world of minimal surfaces to the general audience. ... It is recommended to every mathematics club and public library... Some topics such as building tunnels into minimal surfaces are under current mathematical research, which makes the tape also worth watching by experts in this field." Hong You Wu, Mathematical Reviews. VHS/PAL video tape."
"The book is the second in a series of publications on this subject. It offers the reader insight to latest research and developments in this fascinating new area."
"Che aspetto ha una curva che riempie l'intero piano o tutto lo spazio? Si può muovere un poliedro flessibile fino a scambiarne interno ed esterno? Che cosa sono il piano proiettivo o lo spazio quadridimensionale? Esistono bolle di sapone non sferiche? Come si può capire la complicata struttura dei vortici e delle correnti? In questo libro, il lettore potrà fare esperienze di matematica soprattutto dal punto di vista visivo, confrontando ..."
"Che aspetto ha una curva che riempie l’intero piano o tutto lo spazio? Si può muovere un poliedro flessibile fino a scambiarne interno ed esterno? Che cosa sono il piano proiettivo o lo spazio quadridimensionale? Esistono bolle di sapone non sferiche? Come si può capire la complicata struttura dei vortici e delle correnti? In questo libro, il lettore potrà fare esperienze di matematica soprattutto dal punto di vista visivo, confrontando ..."
"MESH is a mathematical video on polyhedral meshes and their role in geometry, numerics and computer graphics. The film is completely computer-generated using the latest technology and spans the range from ancient Greek mathematics to the area of geometric modelling of today. MESH has already won several science awards worldwide. The authors are Konrad Polthier, a professor of mathematics, and Beau Janzen, a professional film director. T ..."