Introduction to Knot Theory - Vol 57

Crowell, Richard H & Fox, Ralph H.

ISBN 10: 0387902724 / ISBN 13: 9780387902722

Editore: Springer-Verlag New York Inc., U. S. A, 1984

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Some foxing on the top and front of the book block, with minor shelf wear. Previous owner's name written in blue pen on the front pastedown. ; Black and white mathematical diagrams/illustrations and mathematical formulae. Introduction to Knot Theory by Richard H. Crowell and Ralph H. Fox is a classic text offering a comprehensive introduction to knot theory, an important branch of topology. It covers fundamental concepts like knot equivalence, knot diagrams, and invariants, providing rigorous mathematical explanations alongside illustrative examples. Ideal for advanced students, this volume is a foundational resource for understanding the mathematical structure and properties of knots. ; 15.8 x 23.8 x 1.8 cm ; x, 182 pages.

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Dati bibliografici

• Titolo: Introduction to Knot Theory - Vol 57
• Editore: Springer-Verlag New York Inc., U. S. A
• Data di pubblicazione: 1984
• Lingua: Inglese
• ISBN 10: 0387902724
• ISBN 13: 9780387902722
• Rilegatura: Hardcover
• Edizione: First Edition; Fourth Impression.
• Condizione: Very Good
• Condizione della sovraccoperta: No Dust Jacket

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Riassunto

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.