This text contributes to a global view of mathematics. Presenting mathematical ideas of peoples from a variety of small-scale and traditional cultures, it humanizes our view of mathematics and expands our conception of what is mathematical. Through examples of how particular societies structure time, reach decisions about the future, make models and maps, systematize relationships and create intriguing figures, Marcia Ascher demonstrates that traditional cultures have mathematical ideas that are far more substantial and sophisticated than is generally acknowledged. Malagasy divination rituals, for example, rely on complex algebraic algorithms and some cultures use calendars far more abstract and elegant than our own. Ascher also shows that certain concepts assumed to be universal - that time is a single progression, for instance, or that equality is a static relationship - are not. The Basque notion of equivalence, for example, is a dynamic and temporal one not adequately captured by the familiar equal sign. Other ideas taken to be the exclusive province of professionally trained Western mathematicians are, in fact, shared by people in many societies.
The ideas discussed come from geographically varied cultures, including the Borana and Malagasy of Africa, the Tongans and Marshall Islanders of Oceania, the Tamil of South India, the Basques of Western Europe and the Balinese and Kodi of Indonesia.
Rezensionen / Stimmen
A useful reminder of how universal mathematical and logical structures are in any culture. Mathematicians will enjoy seeing the subject they love cropping up in apparently unexpected contexts. Non-mathematicians should be encouraged to realize that some of the processes that seem to appear naturally in everyday life do in fact have a mathematical content. -- John O'Connor Nature For a mathematician, Mathematics Elsewhere will expand the universe; for a non-mathematician, the expansion will just take a little more time. The book succeeds well in presenting and explaining very different ways of doing math both within particular cultural contexts and in terms of modern mathematics... The author is clearly an excellent teacher and a wonderful explainer. Every time I felt a bit lost, the next sequence would present the same concept in different words or with another example. She is adept at moving from the general to the specific, from narrative to figurative. -- Helaine Selin Science This interesting book is a fundamental work in the area of ethnomathematics... [T]he author opens numerous doors and directions in which one finds interesting, nontrivial mathematics. Persons interested in investigating the mathematics of non-Western cultures can use this book as a motivation to look beyond the obvious. -- Thomas E. Golsdorf Mathematical Reviews Ascher illustrates that non-Western cultures have developed sophisticated mathematical ideas often without having any formal concept of mathematics. This stimulating book deserves a wide audience, especially among those involved in teaching the subject. -- Andrew Bowler New Scientist In a follow-up to Ascher's highly recommended Ethnomathematics, this scholarly work describes the anthropology of mathematical ideas in traditional societies and shows how the same ideas might be expressed by standard mathematical expressions... It is particularly interesting to see how people with no separate mathematical language made practical use of sophisticated mathematical ideas. Library Journal All throughout the book, I was struck by how many uses human cultures have found for modular arithmetic... [I]t appears that mathematics may be an essential survival skill for the human species rather than an extraneous one. The descriptions in this book describe so many different applications, that it becomes hard to deny that something more fundamental is responsible for the many ways we find to person mathematical operations. -- Charles Ashbacher MAA Online Ascher's spendid book is rich in possibilities for raising readers' horizons: anthropological, educational, mathematical, and philosophical. -- Philip J. Davis SIAM News Ascher's book is at once a scholarly progress report and an introduction for the curious general reader to a relatively new area of study known as ethnomathematics... Ascher offers a new way of understanding the customs and traditions of non-Western people, adding the lens of mathematics to those of literature, anthropology, and sociology... [She] proves adept at illuminating the connections between local and global mathematics... Part of what makes the volume accessible to the general reader ... is Ascher's evident love for her subject. The mathematics she includes clearly serves a larger purpose: to enhance and illuminate the anecdotes that are the foundation of genuine cultural understanding. -- James V. Rauff Natural History
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Illustrationen
6 Fotos bzw. Rasterbilder, 52 Abbildungen, 5 Tabellen
6 halftones. 52 line illus. 5 tables.
Maße
Höhe: 235 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-691-07020-9 (9780691070209)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Marcia Ascher is Professor Emerita of Mathematics at Ithaca College. She is the coauthor of "Code of the Quipu: A Study in Media, Mathematics, and Culture" and the author of "Ethnomathematics: A Multicultural View of Mathematical Ideas".
Preface ix Introduction 1 CHAPTER 1: The Logic of Divination 5 CHAPTER 2: Marking Time 39 CHAPTER 3: Cycles of Time 59 CHAPTER 4: Models and Maps 89 CHAPTER 5: Systems of Relationships 127 CHAPTER 6: Figures on the Threshold 161 CHAPTER 7: Epilogue 191 Index 205
