Mathematics Across Cultures: The History of Non-Western Mathematics

Ubiratan D'Ambrosio e Helaine Selin

Springer | 2001 | 488 páginas | pdf | 21 Mb

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Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Contents
Acknowledgments
About the Contributors

Introduction
Communicating Mathematics across Culture and Time
Leigh N. Wood
Anthropological Perspectives on Ethnomathematics
Ron Eglash
East and West
Edwin J. Van Kley
Rationality and the Disunity of the Sciences
David Turnbull
Logics and Mathematics: Challenges Arising in Working across Cultures
Helen Verran
A Historiographical Proposal for Non-Western Mathematics
Ubiratan D'Ambrosio
The Uses of Mathematics in Ancient Iraq, 6000-600 BC
Eleanor Robson
Egyptian Mathematics
James Ritter
Islamic Mathematics
Jacques Sesiano
The Hebrew Mathematical Tradition

Y. Tzvi Langermann and Shai Simonson
Inca Mathematics
Thomas E. Gilsdorf
Mesoamerican Mathematics
Michael P. Closs
The Ethnomathematics of the Sioux Tipi and Cone
Daniel Clark Orey
Traditional Mathematics in Pacific Cultures
Walter S. Sizer
Aboriginal Australian Mathematics: Disparate Mathematics of Land Ownership
Helen Verran
On Mathematical Ideas in Cultural Traditions of Central and Southern Africa
Paulus Gerdes
Accounting Mathematics in West Africa: Some Stories of Yoruba Number
Helen Verran
Chinese Mathematical Astronomy
Jean-Claude Martzlojf
The Mathematical Accomplishments of Ancient Indian Mathematicians
T. K. Puttaswamy
The Dawn of Wasan (Japanese Mathematics)
Jochi Shigeru
Development of Materials for Ethnomathematics in Korea

Kim, Soo Hwan