African Fractals

African Fractals
Title African Fractals PDF eBook
Author Ron Eglash
Publisher
Pages 258
Release 1999
Genre Mathematics
ISBN 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
Title Geometry from Africa PDF eBook
Author Paulus Gerdes
Publisher Cambridge University Press
Pages 236
Release 1999-09-30
Genre Juvenile Nonfiction
ISBN 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
Title Africa and Mathematics PDF eBook
Author Dirk Huylebrouck
Publisher Springer
Pages 229
Release 2019-03-30
Genre Mathematics
ISBN 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
Title The Black Experience in Design PDF eBook
Author Anne H. Berry
Publisher Simon and Schuster
Pages 264
Release 2022-02-01
Genre Design
ISBN 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
Title African Mathematics PDF eBook
Author Abdul Karim Bangura
Publisher University Press of America
Pages 227
Release 2012
Genre Education
ISBN 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.

Advances In Data-based Approaches For Hydrologic Modeling And Forecasting

Advances In Data-based Approaches For Hydrologic Modeling And Forecasting
Title Advances In Data-based Approaches For Hydrologic Modeling And Forecasting PDF eBook
Author Bellie Sivakumar
Publisher World Scientific
Pages 542
Release 2010-08-10
Genre Science
ISBN 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.

Assouad Dimension and Fractal Geometry

Assouad Dimension and Fractal Geometry
Title Assouad Dimension and Fractal Geometry PDF eBook
Author Jonathan M. Fraser
Publisher Cambridge University Press
Pages 287
Release 2020-10-29
Genre Mathematics
ISBN 1108478654

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