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Introduction to Knot Theory (Paperback, Softcover reprint of the original 1st ed. 1963)
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Introduction to Knot Theory (Paperback, Softcover reprint of the original 1st ed. 1963)
Series: Graduate Texts in Mathematics, 57
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Knot theory is a kind of geometry, and one whose appeal is very
direct because the objects studied are perceivable and tangible in
everyday physical space. It is a meeting ground of such diverse
branches of mathematics as group theory, matrix theory, number
theory, algebraic geometry, and differential geometry, to name some
of the more prominent ones. It had its origins in the mathematical
theory of electricity and in primitive atomic physics, and there
are hints today of new applications in certain branches of
chemistryJ The outlines of the modern topological theory were
worked out by Dehn, Alexander, Reidemeister, and Seifert almost
thirty years ago. As a subfield of topology, knot theory forms the
core of a wide range of problems dealing with the position of one
manifold imbedded within another. This book, which is an
elaboration of a series of lectures given by Fox at Haverford
College while a Philips Visitor there in the spring of 1956, is an
attempt to make the subject accessible to everyone. Primarily it is
a text book for a course at the junior-senior level, but we believe
that it can be used with profit also by graduate students. Because
the algebra required is not the familiar commutative algebra, a
disproportionate amount of the book is given over to necessary
algebraic preliminaries."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Graduate Texts in Mathematics, 57 |
Release date: |
November 2011 |
First published: |
1963 |
Authors: |
R.H. Crowell
• R.H. Fox
|
Dimensions: |
235 x 155 x 11mm (L x W x T) |
Format: |
Paperback
|
Pages: |
182 |
Edition: |
Softcover reprint of the original 1st ed. 1963 |
ISBN-13: |
978-1-4612-9937-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
|
LSN: |
1-4612-9937-3 |
Barcode: |
9781461299370 |
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