Mathematics lovers are sought!
Department of Mathematical Sciences of Stevens
Institute of Technology announces opening the
At the circle in a quite informal and friendly
atmosphere we’ll discuss creative, interesting, and joyful mathematical
problems that help to form a better feeling of mathematics and logic. Also, we will
discuss the problems offered at Mathematical Olympiads, and our meetings will
be a good way to be better prepared for Olympiads. The topics include but are
not limited to combinatorics, counting, pigeonhole
principle, divisibility, graphs, mathematical games, geometry.
When: Wednesdays, starting from October 4, at 4:30 pm.
Where: Stevens Institute of Technology campus, Pierce building, room P- 120.
Information:
Professor Pavel Dubovski, pdubovsk@stevens.edu
http://personal.stevens.edu/~pdubovsk
phone: 201-216-5426.
Problem 1: There are
three piles of stones: one with 10 stones, one with 15 stones, and one with 20
stones. At each turn, a player can choose one of the piles and divide it into
two smaller piles. The loser is the player who cannot do this. Who will win,
and how?
Problem 2: Given two
parallel lines and a fixed point, draw the straight line, which goes through
the given point and is parallel to those two lines. Use ruler only. No compass
is allowed!