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The Rosetta
Stone (Rosetta
Stone details) -
one message in hieroglyphic, demotic (later form of hieratic)
and Greek. From 196
BCE, discovered 1799 CE.
The Reisner
Papyrus (~2000
BCE) sections
Here are some views of the Rhind
Papyrus (~1650 BCE) - to give
you a sense of what this relic actually is.
Some values
from and comments about the 2/n table.
The Moscow
Papyrus
Here is a little bit from the Moscow
Papyrus (the
bit called problem 1.1 in our text). (~1900 BCE)
Some problems from the Rhind and
Moscow - translated. More
detailed version.
§1.2.2 and 1.3
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The Berlin Papyrus (~1800 BCE) (not from 19th dynasty, but 12th or 13th)Some about Babylonian
base 60.
A nice overview of Babylonian tablets.
Babylonian quadratic solution on copy of YBC 6967 Details of
original solution. (~1800
BCE)
Bablyonian square root of 2 on YBC 7289 (~ 1700 BCE)
Plimpton 322 and some commentary, and some other information also. (~1800 BCE)
§2.1
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§2.2
Speculative ancient roman music
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Archimedes (~250 BCE) circle
formula, volumes,
and pi,
Hipparchus (134 BCE) (and
the moon).
Roman calendars.
(45 BCE)
Heron's (~50 CE) formula.
Nicomachus (~100 CE),
Menelaus (~100 CE) (planar
version of theorem / sphere
version),
Ptolemy,
(~125 CE)
Diophantus (~250 CE),
Pappus (~325 CE),
Hypatia (~400 CE), Proclus,
Eutocius, Boethius
§3.1
Very old Chinese music
Annotated Bibliography
assignment
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Outline of Chinese History. Written Chinese numeration. Image of
Zhoubi suanjing (~100 BCE)
An image of
nine chapters. Text from nine chapters.
Contents of nine chapters (excuse the
Wikipedia link - I do have this in a print source but this way I
don't need to scan it here). (1000 BCE -
200 CE)
Sun Zi (~450 CE) Chinese Remainder Theorem
Chang Ch'iu-Chien [Zhang Qiujian] (475 CE) indeterminant
problem
Wang Hs'iao-T'ung [Wang Xiaotong] (625 CE) cubic problem
Li Zhi (1248 CE) quartic
problem
Yang Hui and Qin Jiushao (1247 CE) - Approximating quartics
Yang Hui's triangle
(1261 CE based on Jia Xian ~1050 CE)
Vedic
square doubling (-750 BCE)
Some Jain
stories and many other links for multicultural mathematics. (< 500
BCE)
Son of Chajaka (~300 CE????)
indeterminate equations from Bakshali.
Trig
tables (499 [Aryabhata] & ~550 CE)
Varahamihira (~550 CE) Arithmetic triangle for combinatorics -
perfumes made by choosing substances from a larger set
Brahmagupta (650 CE) Pulveriser (but reported in Bhaskara)
Lilavati
contents (~1150 CE)
Details from
Bhaskara (~1150 CE)
§4.1-2
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Preview of next few days ...
An overview of "Arabic mathematics".
Some from al-jabr. (800) by al-KhwarizmiEarly
decimal point (952)
al-Haytham on geometry. (~1000)
ibn Iraq and abu'l Wafa (~975) Rule of Four Quantities and
Spherical Law of Sines
al-Biruni's
qibla problem (~1000)
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Friday
mosque
An
article about al-Khayyami and the ring of four almonds.
al-Khayyami on the cubic (1100)
al Samawa'l (1175)
al-Mu'taman's (1082) work with circles
and chords (long article)
ibn Mun'im's (1212) arithmetic triangle
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Translators, Rabbits, Pisa, and moreIf you want to know more (e.g. why 24?)
about the Book of Squares problem, look
here.
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