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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)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)
Bakshali Manuscript "controversy" NOVA
about zero, Anaysis video,
AMS
article.
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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An overview of "Arabic mathematics".
Some from al-jabr. (800) by al-KhwarizmiEarly
decimal point (952)
al-Haytham on geometry. (~1000)
Abu'l Wafa's finger reckoning (~975) was an influence on things like this.
al-Biruni's
qibla problem (~1000)
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Lecture
Great
mosque - detail.
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.
§5.2
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Dionysius Exiguus 525
More on
Bede. 725
Letters
Alcuin Problems to Sharpen the Young 800
Pope
Sylvester II 980
Sestina
Jordanus
1250
§5.3
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1321 Levi ben Gerson justifies theory. Induction.1340
Nicole Oresme, graphs and infinite
series Harmonic
diverges
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Room of Masks (first century BC? - Rome)Abraham
with Angels (early
christian 548 AD)
Annunciation - Simone Martini
(14th century) attractive but not perspective
Madonna
in Majesty -
Duccio (14th century), progress is being made Last
Supper
1468
Paolo Uccello - Pawning
of the Host more progress
1415 Filippo Brunelleschi - Peepshow
1435
Leon Battista Alberti
1460
Piero della Francesca - Flagellation
School
of Athens
1494
Luca Pacioli - actual
Summa excerpts from
his Summa diagams
by da Vinci Last
Supper
1525
Albrecht Dürer - St.
Jerome, Designer
of the sitting man, Designer
of the lute. Melancholia
Perspective
Example
1545 Tartaglia notes on the controversy
(some of this will get pushed to next time)
1545 Cardano - Ars Magna (both his work and
Ferrari's)
1572
Bombelli
§6.2
Quick answers text1545 Cardano - Ars Magna (both his work and
Ferrari's)
1572
Bombelli
1463 Regiomontanus - on triangles
1525 Rudolff's notation
1550 Riese Arithmetic
book
1553
Stifel's triangle
1514 Copernicus
1525 Albrecht Dürer Some
pictures to end the day.
§7.1
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1582 Christoper Clavius (German working in Rome) last step to current calendar1650 Fermat - Last &
Little, 1636
Coordinates, Areas
1650 Pascal - Triangle (parallelogram visual), Conics (applet to visualise for circles - works for any conic section)
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1585 Simon Stevin - decimals different tunings§7.3
1557 Recorde - English arithmetic
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