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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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TranslatorsIf 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
(not
Gauß, who did many other things)
Pope
Sylvester II 980 (some
more in French)
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)
§7.2
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1585 Simon Stevin - decimals different tunings
Lecture video link
1557 Recorde - English arithmetic
§8.1
Quick Answers text1734 Berkeley - analyst
1715 Brook Taylor - series
1742 Maclaurin - calculus book excerpts book
1757 Simpson - writing
Some §8.2 preview
1702 Johann Bernoulli - integrating rational functions
1696 l'Hôpital Textbook bits full
book
§8.2
Bernoulli
family tree
1713 Jakob Bernoulli - large numbers
1742 Goldbach conjecture
1748 Euler - trig &
FLT original
introductio
1749 Agnesi calculus book precalculus
1770 Lambert - irrational
π
§8.3
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1740 Emilie du Châtelet
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