Mathematics and Art

Mathematical Visualization in Art and Education

Buch | Hardcover

X, 337 Seiten

2002
Springer Berlin (Verlag)
978-3-540-43422-1 (ISBN)

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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.

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.

Erscheint lt. Verlag	21.8.2002
Reihe/Serie	Mathematics and Visualization
Zusatzinfo	X, 337 p. 223 illus., 92 illus. in color.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	625 g
Themenwelt	Informatik ► Software Entwicklung ► User Interfaces (HCI)
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Algebra • ART • augmented reality • Communication • Differential topology • Equation • Mathematics • Mathematik • Teaching • Topology • Visualisierung • Visualization
ISBN-10	3-540-43422-4 / 3540434224
ISBN-13	978-3-540-43422-1 / 9783540434221
Zustand	Neuware