Mathematics and Art

Mathematical Visualization in Art and Education
2002
ISBN: 978-3-540-43422-1
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 337 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 758 g

Reihe: Mathematics and Visualization

Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology.
For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.

Zielgruppe

Research

Autoren/Hrsg.

Bruter, Claude P.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Geisteswissenschaften Kunst Künstlerische Stoffe, Motive, Themen
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie

Inhaltsverzeichnis

Presentation of the Colloquium. The ARPAM Project.- Solid-Segment Sculptures.- Visualizing Mathematics — Online.- The Design of 2-Colour Wallpaper Patterns Using Methods Based on Chaotic Dynamics and Symmetry.- Machines for Building Symmetry.- The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments.- The Garden of Eden.- Visualization and Dynamical Systems.- Solving Polynomials by Iteration.- Mathematical Aspects in the Second Viennese School of Music.- Mathematics and Art: The Film Series.- Guided Tours of Buried Galleries (Inside a Computer).- A Mathematical Interpretation of Expressive Intonation.- Symbolic Sculptures.- FORUM: How Art Can Help the Teaching of Mathematics?.- Forum Discussion.- Forum Discussion: Presentation of the Atractor.- Forum Discussion.- Forum Discussion.- Getting Out of the Box and Into the Sphere.- Constructing Wire Models.- Sphere Eversions: from Smale through “The Optiverse”.- Tactile Mathematics.- Hyperseeing, Knots, and Minimal Surfaces.- Ruled Sculptures.- A Gallery of Algebraic Surfaces.- The Mathematical Exploratorium.- Copper Engravings.- Appendix: Color Plates.