OFF ON A TANGENT
A Fortnightly Electronic Newsletter from the Hope College Department of Mathematics
April 23, 2003 Vol. 1, No. 13


Pi Mu Epsilon/Senior luncheon deadline today

Applications are due today, April 23, for membership in Pi Mu Epsilon, the national mathematics honor society. Applications forms and criteria for joining are available on the mathematics department web site located at http://www.math.hope.edu/.  

If you are a current member or joining Pi Mu Epsilon or if you are a graduating senior, you are invited to a luncheon held this Saturday, April 26 at 1 PM at Pietro's Restaurant.  At this time we will induct new members into Pi Mu Epsilon and recognize our graduating seniors.  If you plan to attend, please RSVP to Professor Lalani no later than today, Wednesday, April 23. A sign up sheet is posted on her door (VWF 214) or you can RSVP via email at lalani@hope.edu.  The department will be charged for your lunch if you RSVP but do not attend. We will gladly pay for the lunch of all attendees, but we expect you to reimburse us if you RSVP and do not attend.


Congratulations to our graduating seniors


Thirteen mathematics majors are graduating this year.  Their names and their plans after graduation are as follows.  Congratulations go out to all of them as well as best wishes in their future endeavors.

Mathematics students receive awards


Congratulations go out to our majors who have received awards this year.  Lee Kiessel was inducted into Phi Beta Kappa, the nation's oldest scholastic honorary society.  Clayton Cressler, Caleb Gleason, Lee Kiessel, Kenneth Papes, Rebekah Thomas and Brian Yurk each received a Sigma Xi research award.  Clayton Cressler and Brian Yurk will receive the senior Lampen Award in mathematics.  Michael Cortez, Kurt Pyle and Abby Rockwood will receive the sophomore Kleinheksel Award in mathematics.   


Hope repeats as winners in the Lower Michigan Mathematics Competition

Eleven Hope students braved the icy roads on Saturday, April 5 to participate in the Lower Michigan Mathematics Competition.  The annual contest was hosted by Saginaw Valley State University with 17 teams participating (two or three members each) from all across lower Michigan.  Hope College, the defending champions, sent four teams to defend the Klein Bottle Trophy.  Congratulations to the team of Daniela Banu, Stefan Coltisor and Caleb Gleason who took first place despite being an hour late due to the bad roads.  This is the tenth time Hope has won the competition in its 27-year history.


Mathematics tutors are needed for next year

The Academic Support Center is in need of tutors for next academic year.  The tutors can work in the mathematics lab or tutor students individually.  If interested, contact Professor Janet Andersen at jandersen@hope.edu as soon as possible.


The final colloquium of the year is set for tomorrow

What do the continental divide, the flap of a butterfly's wings, and a straw on a camel's back have in common?  Why are tree branches, mountain ranges, and your circulatory system "self-similar"?  How can simple mathematical formulas command computers to generate incredibly complex and intricate pictures?  The answers to these questions will be given in the mathematics department's final colloquium of the year.  The colloquium, titled "Chaos: New Mathematics Reveals the Inner Workings of Nature" will be presented by Tim Pennings on Thursday, April 24 at 11:00 AM in VWF 102.  As Tim explores the world of chaos and fractals, he will explain how the study of mathematical dynamical systems answers the earlier questions and leads to a better understanding of natural forms and processes.


Poincaré Conjecture Solved?

Russian mathematician Dr. Grigori Perelman of the Steklov Institute of Mathematics recently gave a series of lectures at the Massachusetts Institute of Technology where he revealed a proof of Thurston's conjecture which is an extension of the famous Poincaré conjecture. Since Poincaré's conjecture is a special case of Thurston's conjecture, a proof of Thurston's conjecture proves Poincaré's.

Originally proposed by Henri Poincaré in 1904, the Poincaré conjecture stated that in the field of topology a three-sphere is the only type of bounded three-dimensional space possible that contains no holes.  In 2000 the Poincaré conjecture was included in the list of million dollar prize problems by the Clay Mathematics Institute. According to the rules of the Clay Institute, any purported proof must survive two years of academic scrutiny before the prize can be collected. A recent example of a proof that did not survive even this long was a five-page paper presented by M. J. Dunwoody in April 2002 which was quickly found to be fundamentally flawed.

For more information about the announcement of this proof visit http://mathworld.wolfram.com/news/2003-04-15/poincare/ and for more information about the Poincaré conjecture visit http://www.math.sunysb.edu/~jack/PREPR/poincare03.pdf.


Surfing the Web

To keep your mathematical minds working over the summer, I am spotlighting Nick's Mathematical Puzzles located at http://www.qbyte.org/puzzles/.   Nick Hobson is the web master (or puzzle master) at this site.  He states that, "The puzzles presented here are selected for the deceptive simplicity of their statement, or the elegance of their solution.  They range over geometry, probability, number theory, algebra, calculus, and logic.  All require a certain ingenuity, but only pre-college math."  He also provides hints, answers, and solutions to the puzzles presented.  Hopefully you can find something here that is of interest.