
The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook (Hardback)
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Dispatched in 2 business days When will my order arrive?  DescriptionIn 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 nonWestern 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. The five section authors  Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)  are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about nonWestern mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use nonWestern mathematical ideas in the classroom.
 Publisher: Princeton University Press
 Published: 05 August 2007
 Format: Hardback 704 pages
 See: Full bibliographic data
 Categories: Mathematics  Philosophy Of Mathematics  Applied Mathematics  History Of Mathematics
 ISBN 13: 9780691114859 ISBN 10: 0691114854
 Sales rank: 1,004,938
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Full bibliographic data for The Mathematics of Egypt, Mesopotamia, China, India, and Islam
 Title
 The Mathematics of Egypt, Mesopotamia, China, India, and Islam
 Subtitle
 A Sourcebook
 Authors and contributors
 Physical properties
 Format: Hardback
Number of pages: 704
Width: 180 mm
Height: 257 mm
Thickness: 56 mm
Weight: 1,610 g  Language
 English
 ISBN
 ISBN 13: 9780691114859
ISBN 10: 0691114854  Classifications
BIC E4L: MAT
Nielsen BookScan Product Class 3: S7.8
B&T Book Type: NF
DC22: 510
B&T Modifier: Region of Publication: 01
B&T Modifier: Subject Development: 01
BIC subject category V2: PB
B&T General Subject: 710
WarengruppenSystematik des deutschen Buchhandels: 16200
B&T Modifier: Academic Level: 02
Ingram Subject Code: MA
Libri: IMA
DC22: 510.9
LC subject heading: ,
B&T Merchandise Category: UP
BISAC V2.8: MAT015000, MAT003000
LC subject heading:
LC classification: QA22 .M3735 2007
LC subject heading:
LC classification: 2006030851
Thema V1.0: PBB, PB Illustrations note
 1, black & white illustrations
 Publisher
 Princeton University Press
 Imprint name
 Princeton University Press
 Publication date
 05 August 2007
 Publication City/Country
 New Jersey
 Table of contents
 Preface ix 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 c.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 GraecoRoman Period 46 a. Context 46 b. Table texts 47 c. Problem texts 48 V. Appendices 52 a. Glossary of Egyptian terms 52 b. Sources 52 c. References 54 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 c. From tablet to translation 65 d. Explananda 68 II. The Long Third Millennium, c. 32002000 BCE 73 a. Uruk in the late fourth millennium 73 b. Shuruppag in the midthird millennium 74 c. Nippur and Girsu in the twentyfourth century BCE 76 d. Umma and Girsu in the twentyfirst century BCE 78 III. The Old Babylonian Period, c. 20001600 BCE 82 a. Arithmetical and metrological tables 82 b. Mathematical problems 92 c. Rough work and reference lists 142 IV. Later Mesopotamia, c. 1400150 BCE 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 "OutIn" Principle 194 III. Recent Archaeological Discoveries: The Earliest YetKnown Bamboo Text 201 IV. Mathematics and Astronomy: The Zhou bi suan jing and Right Triangles (The Gougu or "Pythagorean" Theorem) 213 V. The Chinese "Euclid", Liu Hui 226 a. The Nine 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 VII. Outstanding Achievements of the Song and Yuan Dynasties (9601368 CE) 308 a. Qin Jiushao 309 b. Li Zhi (Li Ye) 323 c. 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 c. 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 S'ulbasutras 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 Siddhanta texts 398 b. Transmission of mathematical ideas to the Islamic world 434 c. 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. Madhava, his work, and his school 480 b. Infinite series and the role of demonstrations 481 c. Other mathematical interests in the Kerala school 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 c. Assimilation of ideas from Islam; mathematical table texts 506 VI. Encounters with Modern Western Mathematics 507 a. Early exchanges with European mathematics 507 b. European versus "native" mathematics education in British India 508 c. 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