Download or read book Geometry from Africa written by Paulus Gerdes and published by American Mathematical Soc.. This book was released on 1999-12-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on geometric ideas from cultural activities from Sub-Saharan Africa and demonstrates how they may be explored to develop mathematical reasoning from school level through to university standard. Paulus Gerdes provides a thoroughly illustrated and researched exploration of mathematical ideas, motifs and patterns. Many important mathematical points are brought to the fore, not via the formal ``theorem-proof'' method, but in a more schematic and diagrammatic manner. African artifacts, oral traditions, sand drawing and other forms of artwork with a geometric basis, all provide mathematical ideas for discussion in this unique book. Mathematicians and teachers of mathematics at all levels will be fascinated, as will anybody with an interest in African cultures.
Download or read book Women Art and Geometry in Southern Africa written by Paulus Gerdes and published by Africa Research and Publications. This book was released on 1998 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of the book is to call attention to some mathematical ideas incorporated in the patterns invented by women in Southern Africa. An appreciation of these mathematical traditions may lead to their preservation, revival and development. Use of female art traditional forms has implications in the field of mathematics education.
Download or read book African Fractals written by Ron Eglash and published by . This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Sona Geometry from Angola written by Paulus Gerdes and published by Polimetrica s.a.s.. This book was released on 2006 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume provides readers with a glimpse into Paulus Gerdes's seminal work on the mathematics of an African tradition - 'sona' geometry, a drawing and narrative tradition from Angola with embedded mathematical ideas. The work represented in this book contributes significantly to efforts by other African mathematicians and mathematics educators to recuperate and valorize mathematical ideas and reasoning that reside in African material culture and cultural practices [...]. Moreover, Gerdes is a prolific contributor of work that reinforces a growing literature available in English of a dynamic research program in ethnomathematics. Uncoveirng the mathematical ideas embedded in a Cokwe cultural practice and providing access to the richness of these ideas are part of the concerns of ethnomathematics. As an ethnomathematician, Gerdes is not a neutral researcher but rather a public intellectual committed to finding ways not only to understand the mathematics of the Cokwe 'sona' tradition but also to raise important questions such as [...] when he observes that the profoundness of the mathematical ideas expressed in the 'sona' 'had started to build up.' With this, his reader is then prompted to ask questions: What happened to the building up of the 'sona' tradition and its mathematical ideas? Why was this development arrested? Answering these questions along with enjoying the beautiful presentation of the mathematics of the 'sona' tradition are the gifts that readers will receive from this wonderful volume"--Arthur B. Powell, p. [4] of cover.
Download or read book Geometry from Africa written by Paulus Gerdes and published by Cambridge University Press. This book was released on 1999-09-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.
Download or read book Women Culture and Geometry in Southern Africa written by Paulus Gerdes and published by Lulu.com. This book was released on 2013 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: New edition of award winning book "Women and Geometry in Southern Africa: Suggestions for Further Research", published by the "Universidade Pedagógica" (Mozambique) in 1995. The original book contains chapters on geometrical ideas embedded in basket weaving, bead work, wall decoration, tattooing, and ceramics. The expanded edition includes a foreword by Sibusiso Moyo (Secretary of the African Mathematical Union Commission on Women in Mathematics in Africa, and Research Director of the Durban University of Technology, South Africa), afterwords by Ubiratan D'Ambrosio (Brazil) and Jens Hoyrup (Denmark), and the papers "Makwe colour inversion, symmetry and patterns" (Northeastern Mozambique) and "Symmetries on mats woven by Yombe women from the area along the Lower Congo." The book contains also a chapter written by Salimo Saide on the geometry of pottery decoration among Yao women (Nyassa Province, Mozambique). (2013, 276 pp.)
Download or read book The Shaping of Africa written by Francesc Relaño and published by Routledge. This book was released on 2019-06-04 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title was first published in 2002. When did Africa emerge as a continent in the European mind? This book aims to trace the origins of the idea of Africa and its evolution in Renaissance thought. Particular attention is given to the relationship between the process of acquiring knowledge through travel and exploration, and its representation within a discourse which also includes previously acquired cosmographical elements. Among the themes investigated are: How did the image of Africa evolve from the conception of a symbolic space to a Euclidean representation? How did the Renaissance rediscovery of Antiquity interact with the Portuguese discoveries along the African coast? And once Africa was circumnavigated, how was the inner landmass depicted in the absence of first-hand knowledge? Also, overall, in this whole process what was the interplay of myth and reality?
Download or read book Africa Counts written by Claudia Zaslavsky and published by . This book was released on 1990 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Download or read book African Cosmos written by Christine M. Kreamer and published by The Monacelli Press, LLC. This book was released on 2012-11-27 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking scholarly publication, accompanying an exhibition organized by the National Museum of African Art, Smithsonian Institution, African Cosmos: Stellar Arts brings together exceptional works of art, dating from ancient times to the present, and essays by leading scholars and contemporary artists to consider African cultural astronomy: creativity and artistic practice in Africa as it is linked to celestial bodies and atmospheric phenomena. African concepts of the universe are intensely personal, placing human beings in relation to the earth and sky, and with the sun, moon, and stars. At the core of creation myths and the foundation of moral values, celestial bodies are often accorded sacred capacities and are part of the “cosmological map” that allows humans to chart their course through life.
Download or read book The First Book of Geometry written by Grace Chisholm Young and published by . This book was released on 1905 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Geometry written by Henry Frederick Baker and published by . This book was released on 1922 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encounters with Euclid written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2023-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.
Download or read book RangoLee Art written by Madhuri Bapat and published by . This book was released on 2015-06-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry of Quantum States written by Ingemar Bengtsson and published by Cambridge University Press. This book was released on 2017-08-18 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.
Download or read book International Reflections on the Netherlands Didactics of Mathematics written by Marja van den Heuvel-Panhuizen and published by Springer. This book was released on 2019-08-13 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.
Download or read book Geometry Activities from Many Cultures written by Beatrice Lumpkin and published by Walch Publishing. This book was released on 1997 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heighten student awareness in the application of geometry from different cultures.. Topics covered range from the beginning of geometry to its use in modern times.
