Fractals, Graphics, and Mathematics Education - Brossura

Frame, Michael; Mandelbrot, Benoit

Brossura

ISBN 10: 0883851695 ISBN 13: 9780883851692

Casa editrice: The Mathematical Association of America, 2002

Riassunto

Fractal Geometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also appears in art, music and literature, most often without being consciously included by the artist. Consequently, through this we may uncover connections between the arts and sciences, uncommon for students to see in maths and science classes. This book will appeal to teachers who have wanted to include fractals in their mathematics and science classes, to scientists familiar with fractal geometry who want to teach a course on fractals, and to anyone who thinks general scientific literacy is an issue important enough to warrant new approaches.

Su questo libro

Descrizione del libro

Fractal Geometry is a new mathematical tool for describing nature. Through this we may uncover connections between the arts and sciences, uncommonly seen in maths and science classes. This book will appeal to anyone wanting to teach a course on fractals, or who is interested in general scientific literacy.

Contenuti

Part I. Introductory Essays: 1. Some reasons for the effectiveness of fractal geometry in mathematics education Benoit B. Mandelbrot and Michael Frame; 2. Unsolved problems and still emerging concepts Benoit B. Mandelbrot; 3. Fractals, graphics and mathematics education Benoit B. Mandelbrot; 4. Mathematics and society in the twentieth century Benoit B. Mandelbrot; Part II. Classroom Experiences: 5. Teaching fractals and dynamical systems at the Hotchkiss school Melkana Brakalova and David Coughlin; 6. Reflection on Wada basins: some fractals with a twist Dane Camp; 7. Learning and teaching about fractals Donald M. Davis; 8. The fractal geometry of the Mandelbrot set Robert L. Devaney; 9. Fractals - energizing the mathematics classroom Viki Fegers and Mary Beth Johnson; 10. Other chaos games Sandy Fillebrown; 11. Creating and teaching undergraduate courses in fractal geometry: a personal experience Michel Lapidus; 12. Exploring Fractal dimensions by experiment Ron Lewis; 13. Fractal themes on all levels Kenneth G. Monks; 14. Art and fractals: artistic explorations of natural self-similarity Brianna Murati and Michael Frame; 15. Order and chaos, art and magic: a first college course in quantitative reasoning based on fractals and chaos David Peak and Michael Frame; 16. A software driven undergraduate fractals course Douglas C. Ravenel; Part III. A Final Word: 17. The fractal ring from art to art through mathematics, finance and the sciences Benoit B. Mandelbrot; Part IV. Appendices: 18. Panorama of fractals and their uses. An alphabetic workbook-index Michael Frame and Benoit B. Mandelbrot; 19. Reports of some field experiences.

Dettagli dell?edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2002
• ISBN 10: 0883851695
• ISBN 13: 9780883851692
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 224