Paulus Gerdes's Books

Puzzle Fun with BiLLies

By: paulus gerdes

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Who of us does not like a pastime that can divert and educate at the same time? The puzzles in this book are accessible to teenagers and adults alike, and may be explored individually or in clubs, either in leisure time, or at school.This book "More puzzle fun with biLLies" presents one hundred puzzles, which you can solve using all fourteen 'biLLies', the pieces of the game. For instance, you can make the happy puppet on the front cover using the fourteen 'biLLies'.You will be asked to make certain symmetrical patterns.Have fun with the intriguing and tantalizing 'biLLies'! (76 pp.)

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Lulu.com

Published Date

ISBN 10

055713482X

ISBN 13

9780557134823

Geometry from Africa

Mathematical and Educational Explorations

By: Paulus Gerdes

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Geometry from Africa

Mathematical and Educational Explorations

By: Paulus Gerdes

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.

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Page Count

210

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470458306

ISBN 13

9781470458300

Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries

By: Paulus Gerdes

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Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries

By: Paulus Gerdes

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', 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).

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Page Count

204

Publisher

Lulu.com

Published Date

ISBN 10

1435726294

ISBN 13

9781435726291

Drawings from Angola

Living Mathematics

By: Paulus Gerdes

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Drawings from Angola

Living Mathematics

By: Paulus Gerdes

For children from age 8 to 14. "Drawings from Angola" present an introduction to an African story telling tradition. The tales are illustrated with marvelous drawings made in the sand. The book conveys the stories of the stork and the leopard, the hunter and the dog, the rooster and the fox, and others. It explains how to execute the drawings. The reader is invited to draw tortoises, antelopes, lions, and other animals. The activities proposed throughout the book invite the reader to experiment and to explore the 'rhythm' and symmetry of the illustrations. Surprising results will be playfully obtained, such as in arithmetic, a way to calculate quickly the sum of a sequence of odd numbers. Children will live the beautiful mathematics of the Angolan sanddrawings. Answers to the activities are provided. The book can be used both in classrooms and at home.

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Lulu.com

Published Date

ISBN 10

1430323132

ISBN 13

9781430323136

Otthava

Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique

By: Paulus Gerdes

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Otthava

Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique

By: Paulus Gerdes

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 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 (292 pp.) Colour versions of the photographs in the book are published in a separate supplement.

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294

Publisher

Lulu.com

Published Date

ISBN 10

0557382904

ISBN 13

9780557382903

African Basketry

A Gallery of Twill-plaited Designs and Patterns

By: Paulus Gerdes

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African Basketry

A Gallery of Twill-plaited Designs and Patterns

By: Paulus Gerdes

From the Preface:"Over the years, Paulus Gerdes has established himself as the pre-eminent expert on patterns in African weaving and basketry, and the broader implications of these patterns. ... This new book is a broad gallery of plaited African designs. These range over much of the continent while concentrating on those parts of Africa that are closest to his Mozambique center, including Kongo, Mbole and Mangbetu from Congo, Cokwe and Lunda from Angola, Digo from Kenya, Soga from Uganda, Zulu from South Africa, and Makhuwa in Mozambique itself, but including such distant peoples as Bamileke in Cameroon. In Gerdes' gallery we are shown the love of patterns and symmetries that are the result of centuries of exultant exploration. Enjoy!"Donald W. CroweProfessor of Mathematics, EmeritusUniversity of Wisconsin

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Page Count

222

Publisher

Lulu.com

Published Date

ISBN 10

1435726251

ISBN 13

9781435726253

TINHLÈLÒ

Interweaving Art and Mathematics : Colourful Basket Trays from the South of Mozambique

By: Paulus Gerdes

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TINHLÈLÒ

Interweaving Art and Mathematics : Colourful Basket Trays from the South of Mozambique

By: Paulus Gerdes

The books "TINHLÈLÒ, Interweaving Art and Mathematics: Colourful Basket Trays from the South of Mozambique" exhibits and analyses coloured circular winnowing baskets collected by the author since the end of the 1970s (132 pp. colour).

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Page Count

134

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Lulu.com

Published Date

ISBN 10

0557486254

ISBN 13

9780557486250

More Puzzle Fun with BiLLies

By: paulus gerdes

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More Puzzle Fun with BiLLies

By: paulus gerdes

Who of us does not like a pastime that can divert and educate at the same time? The puzzles in this book are accessible to teenagers and adults alike, and may be explored individually or in clubs, either in leisure time, or at school. This book More puzzle fun with biLLies presents one hundred puzzles, which you can solve using all fourteen 'biLLies', the pieces of the game. For instance, you can make the happy puppet on the front cover using the fourteen 'biLLies'. You will be asked to make certain symmetrical patterns. Have fun with the intriguing and tantalizing 'biLLies' (76 pp.)

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Lulu.com

Published Date

ISBN 10

0557134846

ISBN 13

9780557134847

Geometry from Africa

Mathematical and Educational Explorations

By: Paulus Gerdes

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Geometry from Africa

Mathematical and Educational Explorations

By: Paulus Gerdes

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Page Count

236

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0883857154

ISBN 13

9780883857151

Cardiology E-Book

By: Michael H. Crawford,John P. DiMarco,Walter J. Paulus

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Cardiology E-Book

By: Michael H. Crawford,John P. DiMarco,Walter J. Paulus

With your heavy case load, you can't afford to waste time searching for answers. Cardiology, 3rd Edition, by Drs. Crawford, DiMarco, and Paulus, offers you just the practical, problem-based guidance you need to quickly overcome any clinical challenge. 8 color-coded sections cover the 8 major clinical syndromes of cardiovascular disease—each section a virtual "mini textbook" on its topic! 40 new chapters keep you up to date with the latest advances in the field, while more than 2,000 lavish, high-quality illustrations, color photographs, tables, and ECGs capture clinical manifestations as they present in practice. It’s current, actionable information that you can put to work immediately for your patients! Offers a problem-based approach that integrates basic science, diagnostic investigations, and therapeutic management in one place for each cardiovascular disease so you can quickly find all of the actionable knowledge you need without flipping from one section to another. Features introductory bulleted highlights in each chapter that present the most pertinent information at a glance. Presents abundant algorithms to expedite clinical decision making. Includes more than 2,000 lavish, high-quality illustrations, color photographs, tables, and ECGs that capture clinical manifestations as they present in practice, and promote readability and retention. Includes 40 new chapters including Inherited Arrhythmia Syndromes, Implantable Cardioverter-Defibrillators and Cardiac Resynchronization Therapy in CHD, Management of the Cyanotic Patient with CHD, Special Problems for the Cardiology Consultant Dealing with Bariatric/Gastric Bypass — and many more — that equip you with all of the latest knowledge. Presents "Special Problem" sections—many new to this edition—that provide practical advice on problems that can be difficult to treat.

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2214

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

0723436444

ISBN 13

9780723436447

Mathematics in African History and Cultures

An Annotated Bibliography

By: Paulus Gerdes

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Mathematics in African History and Cultures

An Annotated Bibliography

By: Paulus Gerdes

This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface.

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Page Count

432

Publisher

Lulu.com

Published Date

ISBN 10

1430315377

ISBN 13

9781430315377

African Pythogoras

A Study in Culture and Mathematics Education

By: Paulus Gerdes

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African Pythogoras

A Study in Culture and Mathematics Education

By: Paulus Gerdes

AFRICAN PYTHAGORAS: A study in culture and mathematics education" shows how diverse African ornaments and artefacts may be used to create an attractive context for the discovery and the demonstration of the Pythagorean Theorem and of related ideas and propositions. (first full colour edition, 124 pp.)

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Page Count

126

Publisher

Lulu.com

Published Date

ISBN 10

1257161008

ISBN 13

9781257161003

African Pythogoras

A Study in Culture and Mathematics Education

By: Paulus Gerdes

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African Pythogoras

A Study in Culture and Mathematics Education

By: Paulus Gerdes

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Page Count

126

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Lulu.com

Published Date

ISBN 10

1257161008

ISBN 13

9781257161003

Women, Culture and Geometry in Southern Africa

By: Paulus Gerdes

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Women, Culture and Geometry in Southern Africa

By: Paulus Gerdes

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.)

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Page Count

278

Publisher

Lulu.com

Published Date

ISBN 10

1304105601

ISBN 13

9781304105608

TINHLÈLÒ

Interweaving Art and Mathematics : Colourful Basket Trays from the South of Mozambique

By: Paulus Gerdes

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TINHLÈLÒ

Interweaving Art and Mathematics : Colourful Basket Trays from the South of Mozambique

By: Paulus Gerdes

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Page Count

134

Publisher

Lulu.com

Published Date

ISBN 10

0557486254

ISBN 13

9780557486250

Geometrical recreations of Africa

By: Paulus Gerdes

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Geometrical recreations of Africa

By: Paulus Gerdes

Présentation de problèmes, divertissements ou jeux géométriques qui s'inspirent des dessins traditionnels appelés (lu)sona des Tchokwe du nord-est de l'Angola. Ces dessins sont des patrons faits de lignes qui obéissent à des algorithmes géométriques.

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Page Count

129

Publisher

Editions L'Harmattan

Published Date

ISBN 10

2738451683

ISBN 13

9782738451682

1000 Doctoral Theses by Mozambicans or about Mozambique

By: Paulus Gerdes

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1000 Doctoral Theses by Mozambicans or about Mozambique

By: Paulus Gerdes

The books presents in historical order information (author, year, title, university, country) about 535 doctoral theses written by Mozambicans and about 544 doctoral theses about Mozambique written by foreigners. Universities of 33 countries have awarded these doctoral degrees. Includes alphabetic and thematic indices, and various tables (2013, 236 pp.)

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Page Count

237

Publisher

Lulu.com

Published Date

ISBN 10

1304019152

ISBN 13

9781304019158

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