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BL
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| Record Number
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860228
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| Main Entry
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Huylebrouck, D., (Dirk)
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| Title & Author
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Africa and mathematics : : from colonial findings back to the Ishango rods /\ Dirk Huylebrouck.
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| Publication Statement
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Cham, Switzerland :: Springer Nature,, [2019]
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, ©2019
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| Series Statement
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Mathematics, culture, and the arts
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| Page. NO
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1 online resource
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| ISBN
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3030040372
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: 9783030040376
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3030040364
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9783030040369
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Intro; Foreword; Introduction; About the Contents; About the Language; Geographical Considerations; General Considerations; Acknowledgments; Contents; About the Author; Part I: Mathematics in the Heart of Africa; Chapter 1: Rationale and Sources; Is Mathematics Universal?; Teaching Geometry; Consequences for Textbooks; Ethnomathematical Studies; Collecting Data; Oral History; Recent Observations; Archeological Findings; Chapter 2: Storytelling and Music; Stories; The Moon and Lunar Months; Conceptions of the Universe in Traditional Rwanda; Names for Heavenly Phenomena in Rwanda
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"Ethiopian" MultiplicationTailor or Hieroglyph Algorithm; Variations on Doubling Algorithm; Fanciful Representation of Ethiopian Multiplication; Examples of Calculation Game; Mathematical Considerations; Algebra and Osteopaths; Part II: The Ishango Rod(s); Chapter 7: The Ishango Site; Choice of Site; The Excavations; The Ishango People; A Particular Finding; Dating the Rod; Chapter 8: Mathematical Carvings; Description of Carvings; Hypothesis of de Heinzelin; A Lunar Calendar; Some Objections; A Third Look at the Carvings; Circumstantial Evidence for Alternate Interpretation
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Chapter 9: Missing LinkLinguistic Missing Link; Archeological Missing Link; Mathematical Missing Link; Cultural Missing Link; Genetic Missing Link; Ethnographic Missing Link; Too Many Missing Links; Chapter 10: Not Out of Africa; Other Opinions; Still Older Mathematical Artifacts; Antiracist Mathematics; The Skeptical Inquirer; The Black Athena Debate; A 100-Year-Old Authority on Ishango; Chapter 11: A Second Rod; The Rediscovery of the Ishango Rod; A Second Ishango Rod; A Second Opinion; Part III: Epilogue; Chapter 12: Museum Visit, Teaching, Research
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Geometric Patterns"Pure" Drawings; Frieze Patterns and Crystallography; African Fractals; Chapter 5: Reasoning Without Writing; Multiplication on the Hands; Mental Arithmetic; Little Ropes as Means of Notation in Burundi; Counting Strings and Sticks in Africa; The Use of Counting Strings in the West and Asia; Games of Strategy; Mancala; Mancala Rules; Example of a Game; The More Complicated Igisoro Game; Examples of First Moves; Example of an Igisoro Game; Notes; Chapter 6: Multiplication in the Yoruba and "Ethiopian" Way; The Yoruba Region; Description of 1887; Yoruba Multiplication
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Science Fiction in RwandaMusic; Chapter 3: Creative Counting; Number Bases; The Doubling Principle and Mixed Counting Forms; Counting Gestures; More Creativity; More Complicated Number Bases; Words for Larger Numbers; The Question of Base 12; Classical Explanations for Base 12; Duodecimal Hand Counting; Base 12 Vocabulary; Chapter 4: Drawings; Graphs, Mathematics, and Africa; Stories About African Graphs; Sand Drawings, Memory Aids, and Drawing Patterns; Reasoning with Sand Drawings; More Mathematics in Sand Drawings; Forms, Shapes, and Their Analysis; African Forms in Mathematics Books
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| Abstract
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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.
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| Subject
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Ethnomathematics-- Africa, Central.
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Ethnomathematics.
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MATHEMATICS-- Essays.
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MATHEMATICS-- Pre-Calculus.
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| Subject
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MATHEMATICS-- Reference.
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| Subject
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Central Africa.
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| Dewey Classification
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510
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| LC Classification
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GN476.15.H89 2019
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