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010 _a 2002108312
015 _aGBA2-70841
020 _a0691070202 (acidfree paper)
035 _a(OCoLC)ocm50487466
040 _aFNN
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042 _alccopycat
050 0 _aQA21
_b.A83 2002
100 1 _aAscher, Marcia,
_d1935-
245 0 0 _aMathematics elsewhere
_ban exploration of ideas across cultures
_cMarcia Ascher
260 _aPrinceton, N.J.
_bPrinceton University Press
_cc2002
300 _ax, 207 p.
_bill., maps
_c24 cm
504 _aIncludes bibliographical references and index.
505 0 _aThe logic of divination -- Marking time -- Cycles of time -- Models and maps -- Systems of relationships -- Figures on the threshold -- Epilogue.
520 _aPresenting mathematical ideas of peoples from a variety of small-scale and traditional cultures, this book humanizes our view of mathematics and expands our conception of what is mathematical. Through engaging 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.
650 1 0 _aMathematics
_xHistory.
650 1 0 _aSocial history
_xMathematics.
856 4 1 _3Table of contents
_uhttp://www.loc.gov/catdir/toc/prin031/2002108312.html
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy0705/2002108312-d.html
906 _a7
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942 _2ddc
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999 _c8853
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