Introduction to Knot Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1963
|
| Schriftenreihe: | Graduate Texts in Mathematics
57 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (X, 182p. 64 illus) |
| ISBN: | 9781461299356 9781461299370 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-9935-6 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| discipline | Mathematik |
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| spelling | Crowell, Richard H. Verfasser aut Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox New York, NY Springer New York 1963 1 Online-Ressource (X, 182p. 64 illus) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 57 0072-5285 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 Mathematics Mathematics, general Mathematik Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Knotentheorie (DE-588)4164318-5 s 2\p DE-604 Knoten Mathematik (DE-588)4164314-8 s 3\p DE-604 Fox, Ralph H. Sonstige oth https://doi.org/10.1007/978-1-4612-9935-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Crowell, Richard H. Introduction to Knot Theory Mathematics Mathematics, general Mathematik Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| subject_GND | (DE-588)4164318-5 (DE-588)4164314-8 (DE-588)4151278-9 |
| title | Introduction to Knot Theory |
| title_auth | Introduction to Knot Theory |
| title_exact_search | Introduction to Knot Theory |
| title_full | Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox |
| title_fullStr | Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox |
| title_full_unstemmed | Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox |
| title_short | Introduction to Knot Theory |
| title_sort | introduction to knot theory |
| topic | Mathematics Mathematics, general Mathematik Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Knotentheorie Knoten Mathematik Einführung |
| url | https://doi.org/10.1007/978-1-4612-9935-6 |
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