MAT 3100: Homework 5 (Corrected Version)
Prof. P.J. Scott, Fall, 2013
Due: Monday, Nov. 25, by 4:30 pm at my oce.
Instructions: (i) See my Notes on the Virtual Campus Website. Also, see the links on t
MAT 3100: Homework 5
Prof. P.J. Scott, Winter 2016
Due: Thursday, April 7, 2016 (Extended: may handin by 1:00 on Friday, April 8).
Instructions: (i) See my Notes on the Virtual Campus Website. Also,
MAT3100: Additional Facts about Egyptian Mathematics
P. Scott
Winter, 2016
1. Fun quote from AnglinLambek: the Rhind Papyrus begins by promising the reader a
thorough study of all things, insight int
MAT3100: Names and approximate dates
of some mathematicians and philosophers
P. Scott
Moscow Papyrus
Plimpton 322
Ahmose
Rhind Papyrus
Thales
Pythagorus
Zeno of Elea
Democritus
Socrates
Plato
Eudoxus
MAT3100: Regular Polyhedra
P. Scott
Fall, 2011
In class we discussed regular ngons, which exist for all n 3. In a regular ngon, n is the
number of sides, all edges have equal length, and the interio
MAT3100: Study Material II
600 BC: Rise of Greek Mathematics: Thales and Pythagorus
P. Scott
Fall, 2013
Note: these are only part of what was mentioned in class.
1. Founder: Thales of Miletus. (62454
MAT3100: Study Material III
From Socrates to Euclid
P. Scott
Fall, 2011
1. This material is only part of what was covered in class; you are responsible for the notes from
class, and the other notes an
Indian Mathematics
From +450 to +1400, many invaders (Huns, Arabs, Persians) came. One positive effect of
all these invasions is that India ended up being sort of intellectual bridge between the
east
16th c. Mathematics
Franois Vite (1540 1603) France
Greatest French mathematician of 16th c.
Was a lawyer and member of parliament who spent much of his leisure time doing
mathematics
His reputation a
600 BC: Rise of Greek Mathematics

Early Greek philosophy started in Ionia (influenced by Babylonia). Modern day Turkey
After major Greek/Persian wars, around 500 BC Greek city states flourished
Thal
European Mathematics awakening (15th 16th c.)
After the collapse of the Roman empire in +476, feudal societies arose
There was very little culture; just survival. The only schools over the next 500 ye
Middle Eastern Mathematics: Arabic Mathematics
Many mathematicians were in fact Turks or Persians, and some were not Muslims at all
AlMamun became Caliph and established a university (House of Wisdom
Chinese Mathematics
Ancient China ~ 2,500 600 B.C.
Classical China ~ 600 B.C. 221 A.D.
Imperial China ~ 221 1911
Modern China ~ 1911 Present
Three Early Dynasties
Hsia or Xia: before 1500 B.C. (semi m
MAT3100: Study Material I
Some Ancient Mathematics through to the Babylonians
P. Scott
Fall, 2013
1. This material is roughly what was covered in class, weeks 12. Please read your notes from
class, a
MAT 3100: Homework 4
Prof. P.J. Scott, Fall, 2013
Due: Thurs, Nov. 14, 2013.
(a) Study my notes on Eudoxus, and on continued fractions, and gcd algorithms. In particular,
you must know the gcd algorit
MAT 3100: Homework 1
Prof. P.J. Scott, Sept. 15, 2011
Due: Wed. Sept. 25 in class
No late assignments accepted.
Instructions: Study material is on the main website and various notes and worked out pro
MAT 3100: Homework 3
Prof. P.J. Scott, Fall, 2013
Due: Wednesday, Nov. 6. by 16:00, in the homework box (or under my door).
Instructions: (i) See my Notes on the Virtual Campus Website on the classica
MAT 3100: Homework 2
Prof. P.J. Scott, Oct. 2, 2013
Due: Thursday, Oct. 10, by 4:00
( in the submission box for MAT3100, at the entrance of the Math Building)
1. (Study problem: not to hand in)
(i) Ve
MAT3100: Brief Notes on the Integers Modulo n and the Chinese
Remainder Theorem
P. Scott
1
Fall, 2009
What are the integers modulo n?
Consider the integers Z = cfw_ , 4, 3, 2, 1, 0, 1, 2, 3, 4, . We p