文档介绍：Richard H. Crowell
Ralph H. Fox r'
Knot Theory ~
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Springer-Verlag I
New York Ikiddhcrg Berlin I
R. H. Crowell R. H. Fox
Department of l\:1athematics Formerly of Princeton University
Dartmouth College Princeton, New Jersey
Hanover, New Hampshire 03755
Editorial Board
P. R. Halmos F. W. Gehring C. C. Moore
]'ianaging Editor Department of :Mathematics Department of :Mathematics
Department of Mathematics University of :Michigan University of California
University of California Ann Arbor, J\:1ichigan 48104 at Berkeley
Santa Barbara, Berkeley, California 94720
California 93106
AMS Subject Classifications: 20E40, 55A05, 55A25, 55A30
Library of Congress in Publication Data
Crowell, Richard H.
Introduction to knot theory.
(Graduate texts in mathematics 57)
Bibliography: p.
Includes index.
1. Knot theory. I. Fox, Ralph Hartzler,
1913- joint author. II. Title. III. Series.
1977 514'.224 77-22776
ISBN
All rights reserved
No part of this book may be translated or reproduced in any form
without written permission from Springer Verlag
© I B63 by R. H. Crowell and C. Fox
Pl'illtod ill tho United States of America
IKBN 0 :~K7 HO~7~·' Npl'illgOI'-Vn"'Hg Now VOI'I<:
To the memory of
Richard C. Blanchfield and Roger H. Kyle
and
RALPH H. FOX
Preface to the
Springer Edition
This book was written as an introductory text for a one-semester course
and, as such, it is far from prehensive reference work. Its lack of
completeness is now more apparent than ever since, like most branches of
mathematics, knot theory has expanded enormously during the last fifteen
years. The book could certainly be rewritten by including more material and
also by introducing topics in a more elegant and up-to-date style. plish•
ing these objectives would be extremely worthwhile. However, a significant
revision of the original \vork along these lines, as opposed to \vriting a ne