Verfügbarkeit: The mathematics of Egypt, Mesopotamia, China, India, and Islam

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

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Bibliographische Detailangaben
Format:	Buch
Sprache:	English
Veröffentlicht:	Princeton [u.a.] Princeton Univ. Press 2007
Schlagworte:	Geschichte Geschichte Anfänge-1500 Mathématiques - Histoire - Sources Mathématiques antiques - Sources Wiskunde Mathematik Mathematics, Ancient > Sources Mathematics > History > Sources Islam China Egypte India Islamitische wereld Midden-Oosten Indien Ägypten > Altertum Mesopotamien Quelle
Online-Zugang:	Table of contents only Contributor biographical information Publisher description Inhaltsverzeichnis
Beschreibung:	Includes bibliographical references and index
Beschreibung:	XIV, 685 S. Ill., graph. Darst.
ISBN:	9780691114859

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Datensatz im Suchindex

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adam_text	Contents Preface ¡x Permissions xi introduction 1 Chapter 1 Egyptian Mathematics Annette Imhausen Preliminary Remarks 7 I. Introduction 9 a. Invention of writing and number systems 13 b. Arithmetic 14 с Metrology 17 II. Hieratic Mathematical Texts 17 a. Table texts 18 b. Problem texts 24 III. Mathematics in Administrative Texts 40 a. Middle Kingdom texts: The Reisner papyri 40 b. New Kingdom texts: Ostraca from Deir el Medina 44 IV. Mathematics in the Graeco-Roman Period 46 a. Context 46 b. Table texts 47 с Problem texts 48 V. Appendices 52 a. Glossary of Egyptian terms 52 b. Sources 52 с References 54 vi I Contents Chapter 2 Mesopotamian Mathematics Eleanor Robson I. Introduction 58 a. Mesopotamian mathematics through Western eyes 58 b. Mathematics and scribal culture in ancient Iraq 62 с From tablet to translation 65 d. Explananda 68 II. The Long Third Millennium, с 3200-2000 все 73 a. Uruk in the late fourth millennium 73 b. Shuruppag in the mid-third millennium 74 с Nippur and Girsu in the twenty-fourth century ВСЕ 76 d. Umma and Girsu in the twenty-first century все 78 III. The Old Babylonian Period, с 2000-1600 все 82 a. Arithmetical and metrological tables 82 b. Mathematical problems 92 c. Rough work and reference lists 142 IV. Later Mesopotamia, с 1400-150 все 154 V. Appendices 180 a. Sources 180 b. References 181 Chapter 3 Chinese Mathematics Joseph W. Dauben Preliminary Remarks 187 I. China: The Historical and Social Context 187 II. Methods and Procedures: Counting Rods, The Out-ln Principle 194 HI. Recent Archaeological Discoveries: The Earliest Yet-Known Bamboo Text 201 IV. Mathematics and Astronomy: The Zhou bi suan jing and Right Triangles (The Gou-gu or Pythagorean Theorem) 213 V. The Chinese Euclid , Liu Hui 226 a. The Sine Chapters 227 b. The Sea Island Mathematical Classic 288 VI. The Ten Classics of Ancient Chinese Mathematics 293 a. Numbers and arithmetic: The Mathematical Classic of Master Sun 295 b. The Mathematical Classic of Zhang Qiujian 302 Contents I vii VII. Outstanding Achievements of the Song and Yuan Dynasties (960-1368 ce) 308 a. Qin Jiushao 309 b. Li Zhi (Li Ye) 323 с Yang Hui 329 d. Zhu Shijie 343 VIII. Matteo Ricci and Xu Guangxi, Prefaces to the First Chinese Edition of Euclid s Elements (1607) 366 IX. Conclusion 375 X. Appendices 379 a. Sources 379 b. Bibliographic guides 379 с References 380 Chapter 4 Mathematics in India Kim Plofker I. Introduction: Origins of Indian Mathematics 385 II. Mathematical Texts in Ancient India 386 a. The Vedas 386 b. The Śulbasutras 387 c. Mathematics in other ancient texts 393 d. Number systems and numerals 395 III. Evolution of Mathematics in Medieval India 398 a. Mathematics chapters in Siddhãnta texts 398 b. Transmission of mathematical ideas to the Islamic world 434 с Textbooks on mathematics as a separate subject 435 d. The audience for mathematics education 477 e. Specialized mathematics: Astronomical and cosmological problems 478 IV. The Kerala School 480 a. Mãdhava, his work, and his school 480 b. Infinite series and the role of demonstrations 481 с Other mathematical interests in the Kerala schooi 493 V. Continuity and Transition in the Second Millennium 498 a. The ongoing development of Sanskrit mathematics 498 b. Scientific exchanges at the courts of Delhi and Jaipur 504 с Assimilation of ideas from Islam; mathematical table texts 506 viii I Contents VI. Encounters with Modern Western Mathematics 507 a. Early exchanges with European mathematics 507 b. European versus native mathematics education in British India 508 с Assimilation into modern global mathematics 510 VII. Appendices 511 a. Sources 511 b. References 512 Chapter 5 Mathematics in Medieval Islam J. Lennart Berggren I. Introduction 515 II. Appropriation of the Ancient Heritage 520 III. Arithmetic 525 IV. Algebra 542 V. Number Theory 560 VI. Geometry 564 a. Theoretical geometry 564 b. Practical geometry 610 VII. Trigonometry 621 VIII. Combinatorics 658 IX. On mathematics 666 X. Appendices 671 a. Sources 671 b. References 674 Contributors 677 Index 681
adam_txt	Contents Preface ¡x Permissions xi introduction 1 Chapter 1 Egyptian Mathematics Annette Imhausen Preliminary Remarks 7 I. Introduction 9 a. Invention of writing and number systems 13 b. Arithmetic 14 с Metrology 17 II. Hieratic Mathematical Texts 17 a. Table texts 18 b. Problem texts 24 III. Mathematics in Administrative Texts 40 a. Middle Kingdom texts: The Reisner papyri 40 b. New Kingdom texts: Ostraca from Deir el Medina 44 IV. Mathematics in the Graeco-Roman Period 46 a. Context 46 b. Table texts 47 с Problem texts 48 V. Appendices 52 a. Glossary of Egyptian terms 52 b. Sources 52 с References 54 vi I Contents Chapter 2 Mesopotamian Mathematics Eleanor Robson I. Introduction 58 a. Mesopotamian mathematics through Western eyes 58 b. Mathematics and scribal culture in ancient Iraq 62 с From tablet to translation 65 d. Explananda 68 II. The Long Third Millennium, с 3200-2000 все 73 a. Uruk in the late fourth millennium 73 b. Shuruppag in the mid-third millennium 74 с Nippur and Girsu in the twenty-fourth century ВСЕ 76 d. Umma and Girsu in the twenty-first century все 78 III. The Old Babylonian Period, с 2000-1600 все 82 a. Arithmetical and metrological tables 82 b. Mathematical problems 92 c. Rough work and reference lists 142 IV. Later Mesopotamia, с 1400-150 все 154 V. Appendices 180 a. Sources 180 b. References 181 Chapter 3 Chinese Mathematics Joseph W. Dauben Preliminary Remarks 187 I. China: The Historical and Social Context 187 II. Methods and Procedures: Counting Rods, The "Out-ln" Principle 194 HI. Recent Archaeological Discoveries: The Earliest Yet-Known Bamboo Text 201 IV. Mathematics and Astronomy: The Zhou bi suan jing and Right Triangles (The Gou-gu or "Pythagorean" Theorem) 213 V. The Chinese "Euclid", Liu Hui 226 a. The Sine Chapters 227 b. The Sea Island Mathematical Classic 288 VI. The "Ten Classics" of Ancient Chinese Mathematics 293 a. Numbers and arithmetic: The Mathematical Classic of Master Sun 295 b. The Mathematical Classic of Zhang Qiujian 302 Contents I vii VII. Outstanding Achievements of the Song and Yuan Dynasties (960-1368 ce) 308 a. Qin Jiushao 309 b. Li Zhi (Li Ye) 323 с Yang Hui 329 d. Zhu Shijie 343 VIII. Matteo Ricci and Xu Guangxi, "Prefaces" to the First Chinese Edition of Euclid's Elements (1607) 366 IX. Conclusion 375 X. Appendices 379 a. Sources 379 b. Bibliographic guides 379 с References 380 Chapter 4 Mathematics in India Kim Plofker I. Introduction: Origins of Indian Mathematics 385 II. Mathematical Texts in Ancient India 386 a. The Vedas 386 b. The Śulbasutras 387 c. Mathematics in other ancient texts 393 d. Number systems and numerals 395 III. Evolution of Mathematics in Medieval India 398 a. Mathematics chapters in Siddhãnta texts 398 b. Transmission of mathematical ideas to the Islamic world 434 с Textbooks on mathematics as a separate subject 435 d. The audience for mathematics education 477 e. Specialized mathematics: Astronomical and cosmological problems 478 IV. The Kerala School 480 a. Mãdhava, his work, and his school 480 b. Infinite series and the role of demonstrations 481 с Other mathematical interests in the Kerala schooi 493 V. Continuity and Transition in the Second Millennium 498 a. The ongoing development of Sanskrit mathematics 498 b. Scientific exchanges at the courts of Delhi and Jaipur 504 с Assimilation of ideas from Islam; mathematical table texts 506 viii I Contents VI. Encounters with Modern Western Mathematics 507 a. Early exchanges with European mathematics 507 b. European versus "native" mathematics education in British India 508 с Assimilation into modern global mathematics 510 VII. Appendices 511 a. Sources 511 b. References 512 Chapter 5 Mathematics in Medieval Islam J. Lennart Berggren I. Introduction 515 II. Appropriation of the Ancient Heritage 520 III. Arithmetic 525 IV. Algebra 542 V. Number Theory 560 VI. Geometry 564 a. Theoretical geometry 564 b. Practical geometry 610 VII. Trigonometry 621 VIII. Combinatorics 658 IX. On mathematics 666 X. Appendices 671 a. Sources 671 b. References 674 Contributors 677 Index 681
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geographic	China gtt Egypte gtt India gtt Islamitische wereld gtt Midden-Oosten gtt Indien China (DE-588)4009937-4 gnd Indien (DE-588)4026722-2 gnd Ägypten Altertum (DE-588)4068430-1 gnd Mesopotamien (DE-588)4038788-4 gnd
geographic_facet	China Egypte India Islamitische wereld Midden-Oosten Indien Ägypten Altertum Mesopotamien
id	DE-604.BV022546614
illustrated	Illustrated
index_date	2024-07-02T18:12:06Z
indexdate	2024-07-09T20:59:58Z
institution	BVB
isbn	9780691114859
language	English
lccn	2006030851
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015752975
oclc_num	71369310
open_access_boolean
owner	DE-12 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-83 DE-188
owner_facet	DE-12 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-83 DE-188
physical	XIV, 685 S. Ill., graph. Darst.
psigel	gbd_4_0710 gbd_4_0806
publishDate	2007
publishDateSearch	2007
publishDateSort	2007
publisher	Princeton Univ. Press
record_format	marc
spelling	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook Victor Katz, ed. Princeton [u.a.] Princeton Univ. Press 2007 XIV, 685 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Geschichte gnd rswk-swf Geschichte Anfänge-1500 gnd rswk-swf Mathématiques - Histoire - Sources ram Mathématiques antiques - Sources ram Wiskunde gtt Geschichte Mathematik Mathematics, Ancient Sources Mathematics History Sources Islam (DE-588)4027743-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf China gtt Egypte gtt India gtt Islamitische wereld gtt Midden-Oosten gtt Indien China (DE-588)4009937-4 gnd rswk-swf Indien (DE-588)4026722-2 gnd rswk-swf Ägypten Altertum (DE-588)4068430-1 gnd rswk-swf Mesopotamien (DE-588)4038788-4 gnd rswk-swf (DE-588)4135952-5 Quelle gnd-content Die Welt des Islam (DE-2581)TH000005015 gbd Mathematik der Antike (DE-2581)TH000007621 gbd Ägypten Altertum (DE-588)4068430-1 g Mathematik (DE-588)4037944-9 s Geschichte z DE-604 Mesopotamien (DE-588)4038788-4 g Indien (DE-588)4026722-2 g Geschichte Anfänge-1500 z China (DE-588)4009937-4 g Islam (DE-588)4027743-4 s b DE-604 Katz, Victor J. Sonstige oth http://www.loc.gov/catdir/toc/ecip071/2006030851.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0726/2006030851-b.html Contributor biographical information http://www.loc.gov/catdir/enhancements/fy0726/2006030851-d.html Publisher description Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015752975&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook Mathématiques - Histoire - Sources ram Mathématiques antiques - Sources ram Wiskunde gtt Geschichte Mathematik Mathematics, Ancient Sources Mathematics History Sources Islam (DE-588)4027743-4 gnd Mathematik (DE-588)4037944-9 gnd
subject_GND	(DE-588)4027743-4 (DE-588)4037944-9 (DE-588)4009937-4 (DE-588)4026722-2 (DE-588)4068430-1 (DE-588)4038788-4 (DE-588)4135952-5
title	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook
title_auth	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook
title_exact_search	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook
title_exact_search_txtP	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook
title_full	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook Victor Katz, ed.
title_fullStr	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook Victor Katz, ed.
title_full_unstemmed	The mathematics of Egypt, Mesopotamia, China, India, and Islam a sourcebook Victor Katz, ed.
title_short	The mathematics of Egypt, Mesopotamia, China, India, and Islam
title_sort	the mathematics of egypt mesopotamia china india and islam a sourcebook
title_sub	a sourcebook
topic	Mathématiques - Histoire - Sources ram Mathématiques antiques - Sources ram Wiskunde gtt Geschichte Mathematik Mathematics, Ancient Sources Mathematics History Sources Islam (DE-588)4027743-4 gnd Mathematik (DE-588)4037944-9 gnd
topic_facet	Mathématiques - Histoire - Sources Mathématiques antiques - Sources Wiskunde Geschichte Mathematik Mathematics, Ancient Sources Mathematics History Sources Islam China Egypte India Islamitische wereld Midden-Oosten Indien Ägypten Altertum Mesopotamien Quelle
url	http://www.loc.gov/catdir/toc/ecip071/2006030851.html http://www.loc.gov/catdir/enhancements/fy0726/2006030851-b.html http://www.loc.gov/catdir/enhancements/fy0726/2006030851-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015752975&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT katzvictorj themathematicsofegyptmesopotamiachinaindiaandislamasourcebook

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