The two volumes together offer readers a new window into the communicative importance of design."--Jacket.

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.

Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.

This is the first volume to bring together archaeology, anthropology, and art history in the analysis of pre-Columbian pottery. While previous research on ceramic artifacts has been divided by these three disciplines, this volume shows how integrating these approaches provides new understandings of many different aspects of Ancient American societies. Contributors from a variety of backgrounds in these fields explore what ceramics can reveal about ancient social dynamics, trade, ritual, politics, innovation, iconography, and regional styles. Essays identify supernatural and humanistic beliefs through formal analysis of Lower Mississippi Valley "Great Serpent" effigy vessels and Ecuadorian depictions of the human figure. They discuss the cultural identity conveyed by imagery such as Andean head motifs, and they analyze symmetry in designs from locations including the American Southwest. Chapters also take diachronic approaches—methods that track change over time—to ceramics from Mexico’s Tarascan State and the Valley of Oaxaca, as well as from Maya and Toltec societies. This volume provides a much-needed multidisciplinary synthesis of current scholarship on Ancient American ceramics. It is a model of how different research perspectives can together illuminate the relationship between these material artifacts and their broader human culture. Contributors: | Dean Arnold | George J. Bey III | Michael Carrasco | David Dye | James Farmer | Gary Feinman | Amy Hirshman | Yumi Park Huntington | Johanna Minich | Shelia Pozorski and Thomas Pozorski | Jeff Price | Sarahh Scher | Dorothy Washburn | Robert F. Wald

This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.

A large range of symmetries in art is presented through clear and aesthetically outstanding examples of historical ornaments. Compendious comments illustrate the selected photographic material by addressing the interested and specialist reader alike. Contents: Introduction Fundamental categories The convenient start: Plane groups of symmetry Intertwined patterns: Layer groups of symmetry Two-colored periodic ornamentation Polychromatic patterns Beyond 2D groups: Hypersymmetry, superstructures, two symmetries in one pattern, the "order-disorder" patterns, homothety and similarity, inversion and nonlinear patterns Quasiperiodic patterns Fractals and fractal character Style and symmetry – symmetry and style References Index

Symbol, Pattern and Symmetry: The Cultural Significance of Structure investigates how pattern and symbol has functioned in visual arts, exploring how connections and comparisons in geometrical pattern can be made across different cultures and how the significance of these designs has influenced craft throughout history. The book features illustrative examples of symbol and pattern from a wide range of historical and cultural contexts, from Byzantine, Persian and Assyrian design, to case studies of Japanese and Chinese patterns. Looking at each culture's specific craft style, Hann shows how the visual arts are underpinned with a strict geometric structure, and argues that understanding these underlying structures enables us to classify and compare data from across cultures and historical periods. Richly illustrated with both colour and black and white images, and with clear, original commentary, the book enables students, practitioners, teachers and researchers to explore the historical and cultural significance of symbol and pattern in craft and design, ultimately displaying how a geometrical dialogue in design can be established through history and culture.