African Fractals

African Fractals

Author: Ron Eglash

Publisher:

Published: 1999

Total Pages: 258

ISBN-13: 9780813526140

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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.


Geometry from Africa

Geometry from Africa

Author: Paulus Gerdes

Publisher: Cambridge University Press

Published: 1999-09-30

Total Pages: 236

ISBN-13: 9780883857151

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This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.


Africa and Mathematics

Africa and Mathematics

Author: Dirk Huylebrouck

Publisher: Springer

Published: 2019-03-30

Total Pages: 229

ISBN-13: 3030040372

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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.


The Black Experience in Design

The Black Experience in Design

Author: Anne H. Berry

Publisher: Simon and Schuster

Published: 2022-02-01

Total Pages: 264

ISBN-13: 1621537862

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The Black Experience in Design spotlights teaching practices, research, stories, and conversations from a Black/African diasporic lens. Excluded from traditional design history and educational canons that heavily favor European modernist influences, the work and experiences of Black designers have been systematically overlooked in the profession for decades. However, given the national focus on diversity, equity, and inclusion in the aftermath of the nationwide Black Lives Matter protests in the United States, educators, practitioners, and students now have the opportunity—as well as the social and political momentum—to make long-term, systemic changes in design education, research, and practice, reclaiming the contributions of Black designers in the process. The Black Experience in Design, an anthology centering a range of perspectives, spotlights teaching practices, research, stories, and conversations from a Black/African diasporic lens. Through the voices represented, this text exemplifies the inherently collaborative and multidisciplinary nature of design, providing access to ideas and topics for a variety of audiences, meeting people as they are and wherever they are in their knowledge about design. Ultimately, The Black Experience in Design serves as both inspiration and a catalyst for the next generation of creative minds tasked with imagining, shaping, and designing our future.


African Mathematics

African Mathematics

Author: Abdul Karim Bangura

Publisher: University Press of America

Published: 2012

Total Pages: 227

ISBN-13: 0761853480

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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.


Assouad Dimension and Fractal Geometry

Assouad Dimension and Fractal Geometry

Author: Jonathan M. Fraser

Publisher: Cambridge University Press

Published: 2020-10-29

Total Pages: 287

ISBN-13: 1108478654

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The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.


Advances In Data-based Approaches For Hydrologic Modeling And Forecasting

Advances In Data-based Approaches For Hydrologic Modeling And Forecasting

Author: Bellie Sivakumar

Publisher: World Scientific

Published: 2010-08-10

Total Pages: 542

ISBN-13: 9814464759

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This book comprehensively accounts the advances in data-based approaches for hydrologic modeling and forecasting. Eight major and most popular approaches are selected, with a chapter for each — stochastic methods, parameter estimation techniques, scaling and fractal methods, remote sensing, artificial neural networks, evolutionary computing, wavelets, and nonlinear dynamics and chaos methods. These approaches are chosen to address a wide range of hydrologic system characteristics, processes, and the associated problems. Each of these eight approaches includes a comprehensive review of the fundamental concepts, their applications in hydrology, and a discussion on potential future directions.


Africa Counts

Africa Counts

Author: Claudia Zaslavsky

Publisher:

Published: 1990

Total Pages: 360

ISBN-13:

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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.


Fractals: A Very Short Introduction

Fractals: A Very Short Introduction

Author: Kenneth Falconer

Publisher: OUP Oxford

Published: 2013-09-26

Total Pages: 153

ISBN-13: 0191663441

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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.


Finding Our Way Home

Finding Our Way Home

Author: Myke Johnson

Publisher: Lulu.com

Published: 2016-11-25

Total Pages: 181

ISBN-13: 1365566862

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In this time of ecological crisis, all that is holy calls us into a more intimate partnership with the diverse and beautiful beings of this earth. In Finding Our Way Home, Myke Johnson reflects on her personal journey into such a partnership and offers a guide for others to begin this path. Lyrically expressed, it weaves together lessons from a chamomile flower, a small bird, a copper beech tree, a garden slug, and a forest fern, along with insights from Indigenous philosophy, environmental science, fractal geometry, childhood Catholic mysticism, the prophet Elijah, fairy tales, and permaculture design. This eco-spiritual journey also wrestles with the history of our society's destruction of the natural world, and its roots in the original theft of the land from Indigenous peoples. Exploring the spiritual dimensions of our brokenness, it offers tools to create healing. Finding Our Way Home is a ceremony to remember our essential unity with all of life.