Mathematical Association of America Notes Ser.: Fractals, Graphics, and Mathematics Education by Benoit B. Mandelbrot and Michael Frame (2002, Trade Paperback)
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-100883851695
ISBN-139780883851692
eBay Product ID (ePID)2233692
Product Key Features
Number of Pages224 Pages
LanguageEnglish
Publication NameFractals, Graphics, and Mathematics Education
SubjectGeometry / General, General
Publication Year2002
TypeTextbook
Subject AreaMathematics
AuthorBenoit B. Mandelbrot, Michael Frame
SeriesMathematical Association of America Notes Ser.
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight22.8 Oz
Item Length10.9 in
Item Width8.6 in
Additional Product Features
Intended AudienceTrade
LCCN2001-097388
Dewey Edition21
Series Volume NumberVol. 58
IllustratedYes
Dewey Decimal514/.742
Table Of ContentPart 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.
SynopsisFractal 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.