Preface xii i
choff, Richar d Bedient , Jaso n Behrstock , Timoth y Bremer , Patric k Calla -
han, J. Scott Carter, Peter Cromwell , Alan Durfee, John Free, Dennis Gar -
ity, Ja y Goldman , Camero n Gordon , Joe l Hass , Jame s Hoste , Vaugha n
Jones, Taiz o Kanenobu , Donseu k Kim , Edwar d Lainger , Fran k Morgan ,
Hitoshi Murakami , M . S . E l Naschie , Monic a Nicolau , Joze f Przytycki ,
Martin Reuter, Joseph O'Rourke, Alan Reid, Yongwu Rong, Brian Sander -
son, Dewitt Sumners, Morwen Thistlethwaite , Abigail Thompson, Gerar d
Venema, and Jeffrey Weeks . The filmstrip forma t employe d i n the figure s
in Chapter 10 originated with J. Scott Carter.
I als o woul d lik e t o than k al l th e student s wh o hav e contribute d t o
this book. I was originally motivated to write this book through my partic-
ipation i n th e SMAL L Undergraduat e Researc h Projec t a t William s Col -
lege. Eac h summe r sinc e 1988, between fiftee n an d twenty-fiv e student s
have com e t o William s Colleg e t o wor k o n mathematica l researc h wit h
five t o eigh t facult y ove r a ten-wee k period , throug h fund s provide d b y
the Nationa l Scienc e Foundation , th e Ne w Englan d Consortiu m fo r Un -
dergraduate Scienc e Education , William s College , an d othe r grantin g
agencies. My group of students has usually worked o n knot theory. Every
summer, I would find myself teachin g them the same material over again ,
without a reference a t the right level. It was suc h beautiful materia l that I
decided i t would be worth writing a book. Although thi s list does not in -
clude al l the student s wh o hav e contribute d t o the book, I would lik e t o
thank the following: Aaron Abrams, Charene Arthur, David Biddle, Bevin
Brennan, Jeffre y Brock , Dere k Bruneau , Joh n Bugbee , Elizabet h Camp ,
Mark Chrisman , Ti m Comar, Tara d e Souza , Ryan Dorman, Keit h Faigin ,
Thomas Fleming , Kerryan n Foley , Josep h Francis , Eri c Furstenberg ,
Thomas Graber , Debora h Greilsheimer , Caro l Gwosdz , Lis a Harrison ,
Daniel Heath , Marti n Hildebrand , Hug h Howards , Am y Huston , Ann e
Joseph, Lis a Klein , Katherin e Kollett , Jonatha n Kravis , Joshu a Kucera ,
Michael Levin , Ji e Li , John MacEachern , Lotha r Mans , Joh n Mynttinen ,
Sang Pahk , Katherin e Paur , Sa m Payne , Davi d Pesikoff , Jessic a Polito ,
Scott Reynolds, Dan Robb, Jodi Schneider, William Sherman, John Terilla,
Ari Turner, Pinnarat Vongsinsirikul, Edward Welsh, and Alex Woo.
Additional hel p cam e fro m Jeremia h Lyons , Marissa Barschdorf , an d
Pier Gustafson , Christin e Hastings , an d Me l Slugbate . Christin e Heinit z
and Thomas Banchoff deserv e special credit for their work o n the illustra -
tions.
Colin C. Adams
February 1994
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