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The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook

Author: Victor J Katz; Annette Imhausen
Publisher: Princeton, New Jersey : Princeton University Press, [2007] ©2007
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam  Read more...
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Genre/Form: Quelle
History
Sources
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Victor J Katz; Annette Imhausen
ISBN: 0691114854 9780691114859
OCLC Number: 71369310
Description: xiv, 685 pages : illustrations ; 27 cm
Contents: Preface --
Permissions --
Introduction --
ch. 1. Egyptian mathematics / Annette Imhausen --
Preliminary remarks --
1. Introduction --
a. Invention of writing and number systems --
b. Arithmetic --
c. Metrology --
2. Hieratic mathematical texts --
a. Table texts --
b. Problem texts --
3. Mathematics in administrative texts --
a. Middle Kingdom texts : the Reisner papyri --
b. New Kingdom texts : Ostraca from Deir el Medina --
4. Mathematics in the Graeco-Roman period --
a. Context --
b. Table texts --
c. Problem texts --
5. Appendices --
a. Glossary of Egyptian terms --
b. Sources --
c. References Ch. 2. Mesopotamian mathematics / Eleanor Robson --
1. Introduction --
a. Mesopotamian mathematics through Western eyes --
b. Mathematics and scribal culture in ancient Iraq --
c. From tablet to translation --
d. Explananda --
2. The long third millennium, c. 3200-2000 BCE --
a. Uruk in the late fourth millennium --
b. Shuruppag in the mid-third millennium --
c. Nippur and Girsu in the twenty-fourth century BCE --
d. Umma and Girsu in the twenty-first century BCE --
3. The old Babylonian period, c. 2000-1600 BCE --
a. Arithmetical and metrological tables --
b. Mathematical problems --
c. Rough work and reference lists --
4. Later Mesopotamia, c. 1400-150 BCE --
5. Appendices --
a. Sources --
b. References Ch. 3. Chinese mathematics / Joseph W. Dauben --
Preliminary remarks --
1. China : the historical and social context --
2. Methods and procedures : counting rods, the "out-in" principle --
3. Recent archaeological discoveries : the earliest yet-known bamboo text --
4. Mathematics and astronomy : the Zhou bi suan jing and right triangles (The Gou-gu or "Pythagorean" theorem) --
5. The Chinese "Euclid", Liu Hui --
a. The Nine Chapters --
b. The Sea Island Mathematical Classic --
6. The "Ten Classics" of ancient Chinese mathematics --
a. Numbers and arithmetic : the Mathematical Classic of Master Sun --
b. The Mathematical Classic of Zhang Qiujian --
7. Outstanding achievements of the Song and Yuan dynasties (960-1368 CE) --
a. Qin Jiushao --
b. Li Zhi (Li Ye) --
c. Yang Hui --
d. Zhu Shijie --
8. Matteo Ricci and Xu Guangxi, "prefaces" to the first Chinese edition of Euclid's Elements (1607) --
9. Conclusion --
10. Appendices --
a. Sources --
b. Bibliographical guides --
c. References Ch. 4. Mathematics in India / Kim Plofker --
1. Introduction : origins of Indian mathematics --
2. Mathematical texts in ancient India --
a. The Vedas --
b. The Śulbasūtras --
c. Mathematics in other ancient texts --
d. Number systems and numerals --
3. Evolution of mathematics in medieval India --
a. Mathematics chapters in Siddhānta texts --
b. Transmission of mathematical ideas to the Islamic world --
c. Textbooks on mathematics as a separate subject --
d. The audience for mathematics education --
e. Specialized mathematics : astronomical and cosmological problems --
4. The Kerala school --
a. Mādhava, his work, and his school --
b. Infinite series and the role of demonstrations --
c. Other mathematical interests in the Kerala school --
5. Continuity and transition in the second millennium --
a. The ongoing development of Sanskrit mathematics --
b. Scientific exchanges at the courts of Delhi and Jaipur --
c. Assimilation of ideas from Islam ; mathematical table texts --
6. Encounters with modern Western mathematics --
a. Early exchanges with European mathematics --
b. European versus "native" mathematics education in British India --
c. Assimilation into modern global mathematics --
7. Appendices --
a. Sources --
b. References Ch. 5. Mathematics in medieval Islam / J. Lennart Berggren --
1. Introduction --
2. Appropriation of the ancient heritage --
3. Arithmetic --
4. Algebra --
5. Number theory --
6. Geometry --
a. Theoretical geometry --
b. Practical geometry --
7. Trigonometry --
8. Combinatorics --
9. On mathematics --
10. Appendices --
a. Sources --
b. References --
Contributors --
Index.
Responsibility: Victor Katz, editor ; Annette Imhausen [and 4 others].
More information:

Abstract:

Provides a collection of English translations of mathematical texts from five important ancient and medieval non-Western mathematical cultures, and puts them into historical and mathematical context.  Read more...

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Joseph Warren Dauben, Winner of the 2012 Albert Leon Whiteman Memorial Prize, American Mathematical Society "This pioneering work provides English translations of mathematical texts from each of Read more...

 
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\n\n

Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/71369310<\/a>> # The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:Book<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"71369310<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nju<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/india<\/a>> ; # India.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Event\/geschichte_anfange_1500<\/a>> ; # Geschichte Anf\u00E4nge-1500<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/510.9\/e22\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematics_history<\/a>> ; # Mathematics--History<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/islam<\/a>> ; # Islam<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.loc.gov\/authorities\/subjects\/sh85082171<\/a>> ; # Mathematics, Ancient<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/mesopotamien<\/a>> ; # Mesopotamien<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematiques_histoire_sources<\/a>> ; # Math\u00E9matiques--Histoire--Sources<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematiques_antiques_sources<\/a>> ; # Math\u00E9matiques antiques--Sources<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/wiskunde<\/a>> ; # Wiskunde<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/midden_oosten<\/a>> ; # Midden-Oosten.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1012355<\/a>> ; # Mathematics, Ancient<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/matematik_historia<\/a>> ; # Matematik--historia<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/islamitische_wereld<\/a>> ; # Islamitische wereld.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/agypten<\/a>> ; # \u00C4gypten<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematik<\/a>> ; # Mathematik<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Event\/geschichte<\/a>> ; # Geschichte<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/egypte<\/a>> ; # Egypte.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/indien<\/a>> ; # Indien<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1012163<\/a>> ; # Mathematics<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/china<\/a>> ; # China.<\/span>\n\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/viaf.org\/viaf\/32313649<\/a>> ; # Annette Imhausen<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"2007<\/span>\" ;\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2007<\/span>\" ;\u00A0\u00A0\u00A0\nschema:editor<\/a> <http:\/\/viaf.org\/viaf\/51768782<\/a>> ; # Victor J. 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Related Entities<\/h3>\n
<http:\/\/dewey.info\/class\/510.9\/e22\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Event\/geschichte<\/a>> # Geschichte<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Event<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Geschichte<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Geschichte.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Event\/geschichte_anfange_1500<\/a>> # Geschichte Anf\u00E4nge-1500<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Event<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Geschichte Anf\u00E4nge-1500<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Geschichte Anf\u00E4nge-1500.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/agypten<\/a>> # \u00C4gypten<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"\u00C4gypten<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/china<\/a>> # China.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"China.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"China<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/egypte<\/a>> # Egypte.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Egypte.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/india<\/a>> # India.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"India.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/indien<\/a>> # Indien<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Indien<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/islamitische_wereld<\/a>> # Islamitische wereld.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Islamitische wereld.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/mesopotamien<\/a>> # Mesopotamien<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mesopotamien<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Place\/midden_oosten<\/a>> # Midden-Oosten.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Midden-Oosten.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/islam<\/a>> # Islam<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Islam<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/matematik_historia<\/a>> # Matematik--historia<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Matematik--historia<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematics_history<\/a>> # Mathematics--History<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/id.loc.gov\/authorities\/subjects\/sh85082139<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics--History<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematik<\/a>> # Mathematik<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematik<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematiques_antiques_sources<\/a>> # Math\u00E9matiques antiques--Sources<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Math\u00E9matiques antiques--Sources<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/mathematiques_histoire_sources<\/a>> # Math\u00E9matiques--Histoire--Sources<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Math\u00E9matiques--Histoire--Sources<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/864147141#Topic\/wiskunde<\/a>> # Wiskunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Wiskunde<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/authorities\/subjects\/sh85082171<\/a>> # Mathematics, Ancient<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics, Ancient<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/nju<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"nju<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/1012163<\/a>> # Mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/1012355<\/a>> # Mathematics, Ancient<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics, Ancient<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/32313649<\/a>> # Annette Imhausen<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Imhausen<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Annette<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Annette Imhausen<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/51768782<\/a>> # Victor J. Katz<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Katz<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Victor J.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Victor J. Katz<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780691114859<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0691114854<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780691114859<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/71369310<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/71369310<\/a>> ; # The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-05-20<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/71369310#Review\/-494377728<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Review<\/a> ;\u00A0\u00A0\u00A0\nschema:itemReviewed<\/a> <http:\/\/www.worldcat.org\/oclc\/71369310<\/a>> ; # The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook<\/span>\n\u00A0\u00A0\u00A0\nschema:reviewBody<\/a> \"\"In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures\' important contributions to world mathematics.\"--Jacket.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n