Cavagnaro Haight - Dictionary of ...

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DICTIONARY OF
CLASSICAL
THEORETICAL
MATHEMATICS
© 2001 by CRC Press LLC
AND
A VOLUME IN THE
COMPREHENSIVE DICTIONARY
OF MATHEMATICS
DICTIONARY OF
CLASSICAL
AND
THEORETICAL
MATHEMATICS
Edited by
Catherine Cavagnaro
William T. Haight, II
CRC Press
Boca Raton London New York Washington, D.C.
© 2001 by CRC Press LLC
Preface
The
Dictionary of Classical and Theoretical Mathematics,
one volume of the
Comprehensive
Dictionary of Mathematics,
includes entries from the fields of geometry, logic, number theory,
set theory, and topology. The authors who contributed their work to this volume are professional
mathematicians, active in both teaching and research.
The goal in writing this dictionary has been to define each term rigorously, not to author a
large and comprehensive survey text in mathematics. Though it has remained our purpose to make
each definition self-contained, some definitions unavoidably depend on others, and a modicum of
“definition chasing” is necessitated. We hope this is minimal.
The authors have attempted to extend the scope of this dictionary to the fringes of commonly
accepted higher mathematics. Surely, some readers will regard an excluded term as being mistak-
enly overlooked, and an included term as one “not quite yet cooked” by years of use by a broad
mathematical community. Such differences in taste cannot be circumnavigated, even by our well-
intentioned and diligent authors. Mathematics is a living and breathing entity, changing daily, so a
list of included terms may be regarded only as a snapshot in time.
We thank the authors who spent countless hours composing original definitions. In particular, the
help of Dr. Steve Benson, Dr. William Harris, and Dr. Tamara Hummel was key in organizing the
collection of terms. Our hope is that this dictionary becomes a valuable source for students, teachers,
researchers, and professionals.
Catherine Cavagnaro
William T. Haight, II
© 2001 by CRC Press LLC
© 2001 by CRC Press LLC
CONTRIBUTORS
Curtis Bennett
Bowling Green State University
Bowling Green, Ohio
Krystyna Kuperberg
Auburn University
Auburn, Alabama
Steve Benson
University of New Hampshire
Durham, New Hampshire
Thomas LaFramboise
Marietta College
Marietta, Ohio
Catherine Cavagnaro
University of the South
Sewanee, Tennessee
Adam Lewenberg
University of Akron
Akron, Ohio
Minevra Cordero
Texas Tech University
Lubbock, Texas
Elena Marchisotto
California State University
Northridge, California
Douglas E. Ensley
Shippensburg University
Shippensburg, Pennsylvania
Rick Miranda
Colorado State University
Fort Collins, Colorado
William T. Haight, II
University of the South
Sewanee, Tennessee
Emma Previato
Boston University
Boston, Massachusetts
William Harris
Georgetown College
Georgetown, Kentucky
V.V. Raman
Rochester Institute of Technology
Pittsford, New York
Phil Hotchkiss
University of St. Thomas
St. Paul, Minnesota
David A. Singer
Case Western Reserve University
Cleveland, Ohio
Matthew G. Hudelson
Washington State University
Pullman, Washington
David Smead
Furman University
Greenville, South Carolina
Tamara Hummel
Allegheny College
Meadville, Pennsylvania
Sam Smith
St. Joseph’s University
Philadelphia, Pennsylvania
Mark J. Johnson
Central College
Pella, Iowa
Vonn Walter
Allegheny College
Meadville, Pennsylvania
Paul Kapitza
Illinois Wesleyan University
Bloomington, Illinois
© 2001 by CRC Press LLC
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