Fractals, Graphics and Mathematics Education

Benoit B. Mandelbrot, Michael L. Frame

222 pages, parution le 25/10/2002

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Résumé

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.

Sommaire

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.

L'auteur - Benoit B. Mandelbrot

Benoît Mandelbrot, polytechnicien, Docteur ès Sciences mathématiques (Paris) et Abraham Robinson Professor of Mathematical Sciences à l'université Yale, a reçu le prix Wolf de physique et appartient à l'American Academy of Arts and Sciences et à la National Academy of Sciences of the USA. Il a également publié Les Objets fractals. Forme, hasard et dimension (Flammarion, 1989) et Une approche fractale des marchés. Risquer, perdre et gagner (Odile Jacob, 2005).

Autres livres de Benoit B. Mandelbrot

La forme d'une vie

Les objets fractals

Fractales, hasard et finance

Une approche fractale des marchés

Découvrir tous les livres de Benoit B. Mandelbrot

L'auteur - Michael L. Frame

Editor

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Benoit B. Mandelbrot, Michael L. Frame
Parution	25/10/2002
Nb. de pages	222
Format	21,5 x 28
Couverture	Broché
Poids	645g
Intérieur	Noir et Blanc
EAN13	9780883851692
ISBN13	978-0-88385-169-2