Sponsored in part by the Canadian Mathematical
Society as one of its Regional Math Camps
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Places
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Places •
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Daytoday record
 Sunday 6 June
 Monday 7 June
 9:3012:15: Vašek Chvátal: problemsolving session and modular arithmetic
 Lunch: cream of broccoli or vegetable soup; chicken parmesan or tortelini sauce rose; dessert and coffee or tea
 1:454:30: Nancy Acemian:
introduction to Maple
 5:00: Julia Robinson
and Hilbert's Tenth Problem
(87 minutes)
 Tuesday 8 June
 9:3012:15: Vašek Chvátal: solving linear congruences by the extended Euclidean algorithm
 Lunch: cauliflower or mushroom soup; chou farci or croque monsieur; dessert and coffee or tea
 1:454:30: Nancy Acemian: programming the extended Euclidean algorithm
 5:00: I Want
To Be a Mathematician: A Conversation with Paul Halmos (44
minutes)
 Wednesday 9 June
 Thursday 10 June
 9:3012:15: Vašek Chvátal: problemsolving
session, divisibility tests, and modular exponentiation by
repeated squaring
 Lunch: cream of cauliflower or lima bean soup; ragout de boeuf or crepe au poulet; dessert and coffee or tea
 1:454:30: Nancy Acemian: programming modular exponentiation by repeated squaring
 5:00: The Right Spin (35 minutes)
 Friday 11 June
 9:3012:15: Vašek Chvátal: the RSA publickey cryptosystem; the Prime Number Theorem
 Lunch: borscht or potato and green bean soup; filet de sole or lasagne a la viande; dessert and coffee or tea
 1:454:30: Vašek Chvátal: Fermat's Little
Theorem; the MillerRabin randomized test for primality; the Chinese Remainder Theorem
 5:00: courtesy of
MarcAlexandre Chan: Flatland:
The Movie (34 minutes)
 Saturday 12 June
 9:3012:15: Nancy Acemian: programming the courting algorithm to solve the stable marriage problem
 Lunch: cream of cauliflower or lima bean soup; crepe aux legumes et jambon or schnitzel; dessert and coffee or tea
 1:454:30: courtesy of Nan Yang:
Dangerous knowledge
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Problems
 Sunday's set
 Monday's set
 John McKay's problem: Characterize finite graphs in which
 you can label vertices by positive integers in such a way
that, for every vertex v,
the sum of the labels of the neighbours of v is twice the label of v.
Every cycle has this property: just label all vertices by the same
positive integer. What other finite graphs have it?
(For graphtheoretic terminology, see Graph
Theory with Applications by Adrian Bondy and U.S.R. Murty.)
 Thursday's problem
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Participants
Sorted by family names in alphabetic order:
 Eric Barkhouse (Champlain)
 Yun Cao (Marianopolis)
 MarcAlexandre Chan (Champlain)
 Tomasz Drake (Champlain)
 Howard Huang (Marianopolis)
 Samuel Laferriere (Champlain)
 Yu Wei Liu (Marianopolis)
 Dany Lyth (Champlain)
 Shahrad Rezaei (Vanier)
 Mathieu Roy (Champlain)
 Stephanie Shousha (Marianopolis)
 Hanieh Zargham (Marianopolis)
 Evan Zhou (Marianopolis)
 Lisa Yiran Zhu (Marianopolis)
and auditors
 Pegah Abrishami (Concordia)
 Laurence Petitclerc (Concordia)
 Nan Yang (Concordia)
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Sources
 ZALA films: official site for films by George Csicsery
 The initial choices of syllabus topics
 George Pólya, How
to Solve It: A New Aspect of Mathematical Method
 René Descartes, Discourse on
the Method of rightly conducting one's reason and seeking truth in the
sciences
 Jacques Hadamard, The
Mathematician's Mind: The Psychology of Invention in the Mathematical
Field
 Paul Halmos, How to write
mathematics
 George Orwell, Politics
and the English Language
 The MacTutor History of Mathematics archive
 Paul
Erdős and his collected papers
 La
propriété, c'est le vol!
 Mariages
Stables et leurs relations avec d'autres problèmes
combinatoires
par Donald E. Knuth (Montréal: Les Presses de
l'Université de Montréal, 1976)
 The
extended Euclidean algorithm
 Euclid
and his Elements
(the Euclidean algorithm is Proposition
2 in Book VII)
 The
Four Colour Theorem
 George
SpencerBrown and his work
on the Four Colour Theorem
 The
Unique Factorization Theorem for positive integers
(also known as 'The Fundamental Theorem of Arithmetic')
 From
Error Correcting Codes Through Sphere Packings to Simple Groups by Thomas M. Thompson
 On
Quaternions and Octonions by John Horton Conway and Derek Smith
 How
Richard Ewen Borcherds proved the monstrous moonshine conjecture
 The Fields
Medal
 A LaTeX2e Gallimaufry
by Peter Grogono
 MetaPost: A Reference Manual
by Peter Grogono
 Programs
from Peter Grogono's lecture
 The
Mandelbulb (links to videos are at the bottom of Page 1)
 Bahman Kalantari's Polynomiography
 IMDb video: porridge pulleys and Pi: two mathematical journeys
 Escher and the
Droste effect
 Robert S. Fouch, On the definability of zero to the power zero, School Science and Mathematics 53,
No. 9 (December 1953), pp. 693  696
 H. E. Vaughan, The expression '0^{0} ', Mathematics
Teacher 63 (1970), pp. 111 112
 Computing a^{b} mod m
 Tom Wolfe's The Right Stuff
 Mark Twain's A Connecticut Yankee in King Arthur's Court
 The goldbug by
Edgar Allan Poe
 The
Codebreakers by David Kahn
 Simon Singh's Crypto Corner
 The Prime Pages
 The original RSA paper from 1978
 Practical aspects of the RSA algorithm
 Fermat's Little Theorem
 The
MillerRabin randomized primality test

The Chinese Remainder Theorem
 The
Mathematics of Ciphers: Number Theory and RSA Cryptography by
S.C. Coutinho
 Jon Bentley's books on programming:

A
conjecture of V.C. (appeared in Discrete & Computational Geometry 31 (2004), 175  195)
and
its proof by Xiaomin Chen
(appeared in Discrete & Computational Geometry 35 (2006), 193  199)
 Darkness Visible by
William Styron
 An Unquiet Mind by Kay Redfield Jamison
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