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Numerical notation : A comparative history

By: Material type: TextTextLanguage: English Publication details: New York Cambridge university press 2010Description: ix, 486p. illISBN:
  • 9780521878180 (HB)
Subject(s):
Contents:
Contents 1. Introduction 2. Hieroglyphic systems 3. Levantine systems 4. Italic systems 5. Alphabetic systems 6. South Asian systems 7. Mesopotamian systems 8. East Asian systems 9. Mesoamerican systems 10. Miscellaneous systems 11. Cognitive and structural analysis 12. Social and historical analysis 13. Conclusion
Summary: "This book is a cross-cultural reference volume of all attested numerical notation systems (graphic, non-phonetic systems for representing numbers), encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defies progressive, unilinear evolutionary models of change, Stephen Chrisomalis identifies five basic types of numerical notation systems, using a cultural phylogenetic framework to show relationships between systems and to create a general theory of change in numerical systems. Numerical notation systems are primarily representational systems, not computational technologies. Cognitive factors that help explain how numerical systems change relate to general principles, such as conciseness or avoidance of ambiguity, which apply also to writing systems. The transformation and replacement of numerical notation systems relates to specific social, economic, and technological changes, such as the development of the printing press or the expansion of the global world-system"--Provided by publisher.
Item type: BOOKS
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Home library Collection Call number Materials specified Status Date due Barcode
IMSc Library IMSc Complex Systems Project 511.11 CHR (Browse shelf(Opens below)) Available 63650

Includes index

Includes bibliography (p. 439-469) and references.

Contents
1. Introduction
2. Hieroglyphic systems
3. Levantine systems
4. Italic systems
5. Alphabetic systems
6. South Asian systems
7. Mesopotamian systems
8. East Asian systems
9. Mesoamerican systems
10. Miscellaneous systems
11. Cognitive and structural analysis
12. Social and historical analysis
13. Conclusion

"This book is a cross-cultural reference volume of all attested numerical notation systems (graphic, non-phonetic systems for representing numbers), encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defies progressive, unilinear evolutionary models of change, Stephen Chrisomalis identifies five basic types of numerical notation systems, using a cultural phylogenetic framework to show relationships between systems and to create a general theory of change in numerical systems. Numerical notation systems are primarily representational systems, not computational technologies. Cognitive factors that help explain how numerical systems change relate to general principles, such as conciseness or avoidance of ambiguity, which apply also to writing systems. The transformation and replacement of numerical notation systems relates to specific social, economic, and technological changes, such as the development of the printing press or the expansion of the global world-system"--Provided by publisher.

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The Institute of Mathematical Sciences, Chennai, India