African Fractals
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African Fractals
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Author : Ron Eglash
language : en
Publisher:
Release Date : 1999
African Fractals written by Ron Eglash and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences. Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structures-circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems. Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.
Africa And Mathematics
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Author : Dirk Huylebrouck
language : en
Publisher: Springer
Release Date : 2019-03-30
Africa And Mathematics written by Dirk Huylebrouck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-30 with Mathematics categories.
This volume on ethnomathematics in Central Africa fills a gap in the current literature, focusing on a region rarely explored by other publications. It highlights the discovery of the Ishango rod, which was found to be the oldest mathematical tool in humanity's history, thereby shifting the origin of mathematics to the heart of Africa, and explores the different scientific hypotheses that emerged as a result. While it contains some high-level mathematics, the non-mathematical reader can easily skip these portions and enjoy the book’s survey of African history, culture, and art.
Geometry From Africa
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Author : Paulus Gerdes
language : en
Publisher: Cambridge University Press
Release Date : 1999-09-30
Geometry From Africa written by Paulus Gerdes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-30 with Juvenile Nonfiction categories.
This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.
Assouad Dimension And Fractal Geometry
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Author : Jonathan M. Fraser
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-29
Assouad Dimension And Fractal Geometry written by Jonathan M. Fraser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-29 with Mathematics categories.
The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.
Fractals A Very Short Introduction
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Author : Kenneth Falconer
language : en
Publisher: OUP Oxford
Release Date : 2013-09-26
Fractals A Very Short Introduction written by Kenneth Falconer and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
African Mathematics
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Author : Abdul Karim Bangura
language : en
Publisher: University Press of America
Release Date : 2012
African Mathematics written by Abdul Karim Bangura and has been published by University Press of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Education categories.
This is the first comprehensive text on African Mathematics that can be used to address some of the problematic issues in this area. These issues include attitudes, curriculum development, educational change, academic achievement, standardized and other tests, performance factors, student characteristics, cross-cultural differences and studies, literacy, native speakers, social class and differences, equal education, teaching methods, knowledge level, educational guidelines and policies, transitional schools, comparative education, other subjects such as physics and social studies, surveys, talent, educational research, teacher education and qualifications, academic standards, teacher effectiveness, lesson plans and modules, teacher characteristics, instructional materials, program effectiveness, program evaluation, African culture, African history, Black studies, class activities, educational games, number systems, cognitive ability, foreign influence, and fundamental concepts. What unifies the chapters in this book can appear rather banal, but many mathematical insights are so obvious and so fundamental that they are difficult to absorb, appreciate, and express with fresh clarity. Some of the more basic insights are isolated by accounts of investigators who have earned their contemporaries' respect. Winner of the 2012 Cecil B. Currey Book Award.
Fractal Concepts In Surface Growth
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Author : A.- L. Barabási
language : en
Publisher: Cambridge University Press
Release Date : 1995-04-13
Fractal Concepts In Surface Growth written by A.- L. Barabási and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-13 with Mathematics categories.
This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html
Analysis On Fractals
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Author : Jun Kigami
language : en
Publisher: Cambridge University Press
Release Date : 2001-06-07
Analysis On Fractals written by Jun Kigami and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-07 with Mathematics categories.
This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
Fractal Narrative
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Author : German A. Duarte
language : en
Publisher: transcript Verlag
Release Date : 2014-09-30
Fractal Narrative written by German A. Duarte and has been published by transcript Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-30 with Social Science categories.
Fractals suggest recursivity, infinity and the repetition of a principle of order. They are digital pictures of the universe's continuous movement ignored by mankind during millennia. This book investigates the relationship existing between geometries and technology, and how it guided cognitive processes and thus the organization of narrative spaces. The author proposes a new approach for the study of media remarking that from Bacon's camera obscura to von Neumann's computers both geometries and technology strongly influenced the organization of narrative spaces, which acquired a fractal character.
Africa Counts
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Author : Claudia Zaslavsky
language : en
Publisher:
Release Date : 1990
Africa Counts written by Claudia Zaslavsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Study by a mathematical scholar on the ways in which African people count, keep time and records, play games, use geometry in art and architecture, etc. Based on research in Nigeria and East Africa.