The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook

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Princeton University Press, 5 d’ag. 2007 - 685 pàgines
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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.


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 non-Western 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 non-Western mathematical ideas in the classroom.

 

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Continguts

Egyptian Mathematics
7
I Introduction
9
II Hieratic Mathematical Texts
17
III Mathematics in Administrative Texts
40
IV Mathematics in the GraecoRoman Period
46
V Appendices
52
Mesopotamian Mathematics
57
I Introduction
58
X Appendices
379
Mathematics in India
385
II Mathematical Texts in Ancient India
386
III Evolution of Mathematics in Medieval India
398
IV The Kerala School
480
V Continuity and Transition in the Second Millennium
498
VI Encounters with Modern Western Mathematics
507
VII Appendices
511

II The Long Third Millennium c 32002000 BCE
73
III The Old Babylonian Period c 20001600 BCE
82
IV Later Mesopotamia c 1400150 BCE
154
V Appendices
180
Chinese Mathematics
187
Counting Rods The OutIn Principle
194
The Earliest YetKnown Bamboo Text
201
The Zhou bi suan jing and Right Triangles The Gougu or Pythagorean Theorem
213
V The Chinese Euclid Liu Hui
226
VI The Ten Classics of Ancient Chinese Mathematics
293
VII Outstanding Achievements of the Song and Yuan Dynasties 9601368 CE
308
VIII Matteo Ricci and Xu Guangqi Prefaces to the First Chinese Edition of Euclids Elements 1607
366
IX Conclusion
375
Mathematics in Medieval Islam
515
II Appropriation of the Ancient Heritage
520
III Arithmetic
525
IV Algebra
542
V Number Theory
560
VI Geometry
564
VII Trigonometry
621
VIII Combinatorics
658
IX On Mathematics
666
X Appendices
671
Contributors
677
Index
681
Copyright

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Quant a l’autor (2007)

Victor J. Katz is professor emeritus of mathematics at the University of the District of Columbia. His many books include the textbook, A History of Mathematics: An Introduction, 2nd ed. (Addison-Wesley). He is the coeditor of Historical Modules for the Teaching and Learning of Mathematics.

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