|
|
|
|
m
c o r n e r
. o r g
|
|
|
|
|
|
|
|
Acknowledgment from
Index to Mathematical Problems 1980-1984
by Stanley Rabinowitz
|
|
|
The effort of many people went into
producing this compendium. Their help is greatly
appreciated. Data entry and proofreading were done by
Selma Burrows, Mark Buxbaum, Michael
Clarke, Anne R. Costa, Joan Duprey,
Kathleen Duprey, Carol Anderson Peters,
Stanley Rabinowitz, and Dennis Spellman.
I could not have completed this monumental task without their
help. In addition, I thank Cheryl Hoffman, Helen Metcalf,
and Mindy Swartz who have joined in to help with work on
future indexes. Special thanks to George and Roberta Berry
who proofread most of the non-mathematical material and
reviewed the design, layout, and composition of the text. My
editorial board (George Berzsenyi, Clark Kimberling, Murray
S. Klamkin, Leroy F. Meyers, and Jordan Tabov) did an
exceptional job in reviewing all of the material from my
many mailings. They offered good advice and were
instrumental in the shaping of this index. Leroy Meyers was
extremely helpful with many detailed comments, especially
with respect to the proper spelling of people's names. I
thank Murray Klamkin for his early encouragement and for
agreeing to write the Foreword. Anne Costa did a fantastic
job of reviewing the final manuscript. Problems were
classified by Joan Duprey, Stanley Rabinowitz, and Dennis
Spellman. A few problems had to be translated into English.
For these and for the many problems that have been
translated for future indexes, I thank George Berzsenyi,
Leroy F. Meyers, Susan Oliver, Dennis Spellman, and Jordan
Tabov. Special thanks to Mark Buxbaum who helped make the
keyword index a reality, to Jim Ravan for his database
expertise, and to Herb Jacobs for his help in many phases of
the book production.
|
|
|
This index gives credit to the many
authors of the problems indexed herein and also carefully
cites the sources (names of the journals and page numbers)
in which these problems were originally posed. Consult the
Problem Chronology (page 299) to determine the original
source for any problem listed herein. I wish to thank the
following organizations for giving me permission to reprint
their problems in this index:
|
|
|
The Mathematical Association of
America (for The American Mathematical Monthly,
Mathematics Magazine, The College Mathematics Journal),
the American Mathematical Association of Two-Year
Colleges (for The AMATYC Review), the MATYC Journal, Inc.
(for Mathematics and Computer Education), the Canadian
Mathematical Society (for Crux Mathematicorum, CMS Notes,
and the Canadian Mathematical Bulletin),
Birkhäuser-Verlag (for Elemente der Mathematik which
will appear in a future volume), Springer-Verlag (for
Abacus and The Mathematical Intelligencer), the Fibonacci
Association (for The Fibonacci Quarterly), the
Mathematical Association (for The Mathematical Gazette),
Baywood Publishers (for the Journal of Recreational
Mathematics), the National Council of Teachers of
Mathematics (for The Mathematics Student), the Univ.
of Waterloo (for the Ontario Secondary School Mathematics
Bulletin), Kappa Mu Epsilon (for The Pentagon), the
councillors of Pi Mu Epsilon (for The Pi Mu Epsilon
Journal), the Society for Industrial and Applied
Mathematics (for SIAM Review), School Science and
Mathematics Association (for School Science and
Mathematics), the editorial committee of Function, the
Malaysian Mathematical Society (for Menemui Matematik),
the Association of Mathematics Teachers of New York State
(for The New York State Mathematics Teachers' Journal),
the Ontario Association for Mathematics Education (for
the Ontario Mathematics Gazette), the editor of
Mathematical Spectrum, and Stickting Mathematisch Centrum
(for Nieuw Archief voor Wiskunde). I also wish to thank
the following people for their help in obtaining reprint
permissions: Donald J. Albers, Ed Barbeau, Gerald E.
Bergum, George Berzsenyi, Edwin Beschler, Jean T.
Carpenter, Curtis Cooper, Michael Cornelius, R. G.
Dunkley, Michael Ecker, Dale Ewen, Darrel W. Fyffe,
Magdalena Hanich, Bob Kennedy, Murray Klamkin, Joe
Konhauser, Barbara Lauro, Hans Lausch, Joseph S. Madachy,
Tricia Manning, George M. Miller, Kurunathan Ratnavelu,
Andrew M. Rockett, Bill Sands, Hanne Sieber, D. W.
Sharpe, Andrew Sterrett, Stanley F. Taback, Hans-Peter
Thür, J. van de Lune, Timothy Weber, Jack Weiner,
and Graham P. Wright.
|
|
|
I am indebted to Donald Knuth who
designed the Computer Modern family of typefaces used to
print the mathematics in this book. The PostScript version
of these fonts were built by Blue Sky Research. I am even
more indebted to Donald Knuth for designing the TeX system
for typesetting technical text which was used to typeset the
mathematical portions of this book. I wish to thank Barry
Smith and Blue Sky Research for their help and for creating
TeXtures, which made editing this book a pleasure.
|
|
|
The following people and companies helped
contribute to the success of MathPro Press:
|
|
|
David Barnes at CDL Mail
Management, Anne Costa at ARC Enterprises, Tom
D'Alessandro at Postal Center USA, Joan and Kathi Duprey
at Ad Infinitum Graphic Services, Patricia Green at
Copyland II, Kevin O'Reilly, Tom Plain at BookCrafters,
Dan Poynter at Para Publishing, Judy Sawyer at Graphics
Express of Carlisle, and Dianne Wires at BookMasters. I
thank Alliant Computer Systems Corporation, Avid
Technology, Inc., Digital Equipment Corporation, and
Polybus Systems Corporation for their support in
tolerating this venture.
|
|
|
The research could not have been
completed without the cooperation of the many univ.
libraries that open their doors to visiting mathematicians.
I especially wish to acknowledge use of the libraries and
research facilities at the following institutions:
|
|
|
Amherst College, Boston College,
Brown Univ., Clark University, College of St. Rose,
Colorado College, Columbia Univ., Courant Institute
of Mathematical Sciences, Harvard Univ.,
Massachusetts Institute of Technology, North Carolina
State Univ., Northeastern University, The Ohio State
Univ., Smith College, Stanford University, State
Univ. of New York at Albany, Tufts University, Union
College, Univ. of California at Los Angeles,
Univ. of Maine at Orono, University of Massachusetts
at Amherst, Univ. of Nebraska at Lincoln, and Wake
Forest University.
|
|
|
This book was produced using TeXtures,
FullWrite Professional and FileMaker Pro running on an Apple
Macintosh. The figures were drawn using
Cabri-Géomètre and the Geometer's Sketchpad
with occasional touch-up by SuperPaint. The cover was
designed and composed by Kathi Duprey. Initial book design
was by Paul Anagnostopoulos. The software for sorting
problems and creating the indexes was written by Stanley
Rabinowitz using THINK C. In addition to this custom
software written especially for this project, the following
commercial software was used during the production of this
book:
|
|
|
Apple Macintosh operating system
6.0.7 and associated utilities, EdMetrics v0.5, Classic
Textures v1.4 from Blue Sky Research, FullWrite
Professional™ v1.5s from Ashton Tate, SuperPaint
v2.0 from Silicon Beach Software, Inc., Adobe Type
Manager® v2.0, Type Reunion™ v1.0, Font
Downloader v4.14, Suitcase™ II v1.2.10 from Fifth
Generations Systems, Inc., McSink™ v6.5 from
Preferred Software, Inc., GCC Print Manager and driver
v3.0.2 (with GCC Personal Laser Printer), Virus
Detective® v4.0.4 by Jeffrey S. Shulman, FileMaker
Pro 1.0v2 from Claris®, Cabri-géomètre
v1.01 from Laboratoire Structures Discrètes et
Didactique, Institut d'Informatique et de
Mathématiques Appliqués de Grenoble,
Geometer's Sketchpad v1.01 from Key Curriculum Press, and
THINK C v5.0.1 from Symantec Corporation.
|
|
|
PostScript Fonts used: Computer Modern
fonts (v1.0) from Blue Sky Research, Helvetica,
Mathematical Pi and Cheq from Adobe. The PostScript
Hebraica font used to print certain Hebrew alphametics
was obtained from Linguist's Software, Inc., PO Box 580,
Edmonds, WA 98020-0580 tel (206) 7751130. Bitmapped fonts
used: msbm9 in AMSFonts v2.0 from the American
Mathematical Society.
|
|
|
I wish to thank the many people who
supplied details about unsolved problems and papers that
reference problems:
|
|
|
Julia Abrahams, Petter
Bjørstad, F. S. Cater, Peter Giblin, Doug Hensley,
James Hirschfeld, Melvin Hochster, Kenneth R. Kellum,
Armel Mercier, Thomas E. Moore, Harry Nelson, Joseph
O'Rourke, David Singmaster, Lloyd N. Trefethen, and Peter
Ungar.
|
|
|
The following people helped me in
locating journals, contests, pseudonyms, and bibliographic
references:
|
|
|
Bength Ahlin, Seung-Jin Bang,
Leon Bankoff, Ed Barbeau, Dieter Bennewitz, George
Berzsenyi, Steven Conrad, Curtis Cooper, Michel Criton,
Clayton Dodge, Richard Gibbs, Heiko Harborth, Mark Hesse,
Paul Jainta, George P. Jelliss, Erwin Just, Robert
Kennedy, Murray Klamkin, Joe Konhauser, Hans Lausch,
Peter Messer, Leroy Meyers, Bill Sands, Mark Saul, Joseph
V. Saverino, Norman Schaumberger, Jordan Tabov, Peter
Taylor, L. J. Upton, and Stan Wagon.
|
|
|
To the many people who offered
encouragement and miscellaneous help, I salute
|
|
|
Gary Barna, Cathy Bence, George
and Roberta Berry, Mark Buxbaum, Anton and Peggy
Chernoff, Anne and Peter Costa, Bill and Tricia Fisher,
Peter Gilbert, Tim and Cheryl Hoffman, Herb Jacobs, Clark
Kimberling, Murray Klamkin, Joe Konhauser, Hank
Lieberman, Erwin Lutwak, Walter Mientka, Peter
O'Halloran, Bill Perkins, Eric and Carol Peters, Jack and
Fay Rabinowitz, Jim Ravan, Josh Rosen, Léo
Sauvé, Dave Scheifler, Leo Schneider, Larry Somer,
Rob and Marty Spence, Judy Swank, and Rick Swift.
|
|
|
Finally, I wish to thank all the
problemists out there who have enriched my life and the
lives of many others by contributing such fine problems to
the mathematical literature. I hope they will understand the
few cases where I have had to edit their creations in order
to remove extraneous matter and fit the space constraints of
this index. In particular, I must apologize to the
Guayazuala Mathematical Society for ruling Professor Euclide
Pasquale Bombasto Umbugio as incompetent, irrelevant, and
immaterial. And, of course, a great thank you must go to all
those problem column editors who endure a thankless task but
provide an invaluable service to the mathematics
community.
|
|
|
- Stan -
|
|
|