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279 results for "gerd"
Ethnogeometry: Awakening of Geometrical Thought in Early Culture By Paulus Gerdes
Paperback: $16.95
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The book considers early geometrical thinking, both as embedded in various social activities surviving colonization in the life of the peoples of the “South,” and in early history.... More > Chapter 1 discusses briefly some standard views of the origin of geometrical concepts. Chapter 2 analyzes alternative views of geometry. Chapter 3 analyzes the emergence of a series of early geometrical concepts and relationships in socially important activities. Questions such as these are considered: "Where could the concept of a right angle have come from? Where did the idea of a regular hexagon arise?" Chapter 4 presents a series of hypotheses on the possible role of social activity in the development of geometry in ancient Mesopotamia and Egypt. The last chapter offers some general ideas on the awakening of geometrical thought based on the analysis in this book. The book contains a foreword by the late Dirk Struik (1894-2000). (Second edition, 220 pp.).< Less
The philosophic-mathematical manuscripts of Karl Marx on differential calculus: An introduction By Paulus Gerdes
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The book presents an introduction to the philosophic-mathematical manuscripts of Karl Marx. It contains the following chapters: (1) Marx the Mathematician?; (2) Why Did Marx Study Mathematics?; (3)... More > Still So Little Known?; (4) Manuscripts: Contents and background; (5) The dialectical method of Marx; (6) The significance of the “Mathematical Manuscripts;” (7) Source of inspiration; Bibliography. Translation into English from the Portuguese: Beatrice Lumpkin (Chicago, USA). 120 pp.< Less
The philosophic-mathematical manuscripts of Karl Marx on differential calculus: An introduction (eBook) By Paulus Gerdes
eBook (PDF): $4.95
The book presents an introduction to the philosophic-mathematical manuscripts of Karl Marx. It contains the following chapters: (1) Marx the Mathematician?; (2) Why Did Marx Study Mathematics?; (3)... More > Still So Little Known?; (4) Manuscripts: Contents and background; (5) The dialectical method of Marx; (6) The significance of the “Mathematical Manuscripts;” (7) Source of inspiration; Bibliography. Translation into English from the Portuguese: Beatrice Lumpkin (Chicago, USA). 120 pp.< Less
HEROLD's Internal Medicine (Second Edition) [PDF] By Gerd Herold
eBook (PDF): $35.44
"Herold: Internal Medicine" is a lecture oriented representation taking account of the topic catalogue for the medical examination for physicians. It is one of the leading textbooks of... More > internal medicine in Germany, if not the leading one. Its enormous popularity is based on the facts that it represents the topics of internal medicine in an accurate and systematic form and that it has been updated every year since 1982. For further information please refer www.herold-internal-medicine.com and read the disclaimer.< Less
HEROLD's Internal Medicine (Second Edition) - Vol. 2 By Gerd Herold
Paperback: $29.39
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"Herold: Internal Medicine" is a lecture oriented representation taking account of the topic catalogue for the medical examination for physicians. It is one of the leading textbooks of... More > internal medicine in Germany, if not the leading one. Its enormous popularity is based on the facts that it represents the topics of internal medicine in an accurate and systematic form and that it has been updated every year since 1982. For further information please refer www.herold-internal-medicine.com and read the disclaimer.< Less
HEROLD's Internal Medicine (Second Edition) - Vol. 1 By Gerd Herold
Paperback: $29.34
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"Herold: Internal Medicine" is a lecture oriented representation taking account of the topic catalogue for the medical examination for physicians. It is one of the leading textbooks of... More > internal medicine in Germany, if not the leading one. Its enormous popularity is based on the facts that it represents the topics of internal medicine in an accurate and systematic form and that it has been updated every year since 1982. For further information please refer www.herold-internal-medicine.com and read the disclaimer.< Less
Geometry and Basketry of the Bora in the Peruvian Amazon By Paulus Gerdes
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“Geometry and Basketry of the Bora in the Peruvian Amazon” presents geometric aspects of the making and decoration of baskets in the Bora culture (Colombian, Brazilian and Peruvian... More > Amazon). After a brief presentation of the Bora people, various aspects of the decoration of circular trays and cylindrical baskets is analysed, from their design and manufacture to the composition and colouring of finite and plane patterns. Some suggestions for the incorporation of geometrical features of Bora basketry into mathematics education are presented. This book contributes to an appreciation of the Bora scientific and cultural experience. Dubner Medina Tuesta, coordinator of the Bilingual Teacher Education Programme, wrote the Preface. The book has 170 pp. Also available from Lulu is a Supplement with images in colours (36 pp.)< Less
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
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The book “Lunda Geometry” explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author’s research of ‘sona’,... More > illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed. Several chapters were published in journals like ‘Computers & Graphics’ (Oxford), ‘Visual Mathematics’ (Belgrade), and ‘Mathematics in School’ (UK). (198 pp.)< Less
Sona Geometry from Angola: Mathematics of an African Tradition (color edition) By Paulus Gerdes
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The ‘sona’ tradition belongs to the culture of the Cokwe and related peoples in Eastern Angola and neighboring areas of Northwest Zambia and the Congo. Observers have described... More > ‘sona’ as sand graphs, sand drawings, drawings in the sand, writing in the sand, pictographs and ideograms, and as a system of communication. The ‘sona’ tradition is multifaceted. It comprises aspects that are philosophical, educational, artistic, ideographic, and recreational. The book shows that mathematical considerations were involved and developed as the Cokwe invented ‘sona’ and built up a reservoir of symbolic-graphic expressions. The book presents an analysis and reconstruction of mathematical elements in the sona tradition. The first English language edition in color contains an updated bibliography and an appendix with a brief introduction to new mathematical ideas that came out of the study of ‘sona.’ Translation and Preface: Artur B. Powell, Rutgers University, Newark, USA; 248 pp., over 500 illustrations in color.< Less
Otthava: Making Baskets and Doing Geometry in the Makhuwa Culture In the Northeast of Mozambique By Paulus Gerdes
eBook (ePub): $4.95
In the book "Otthava: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique" I reflect on practices in the Makhuwa culture, which provide evidence of the... More > geometric considerations operating in basket weaving, and are suitable and appropriate for mathematical and educational exploration. A proper scientific understanding of this knowledge, and the educational value of these manifestations may lead to a better appreciation of the Makhuwa culture. The practices I present in this book belong to the cultural sphere of 'otthava' - weaving, plaiting, interweaving, interlacing, braiding - that is, to basket and mat weaving. The topics which are analysed are the making of funnels, hats, fish traps, containers, trays, dance rattles, purses, decorated braids, baskets and handbags, knots and circular mats.< Less