Introduction to knot theory/ (Record no. 184956)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00329nam a2200133Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1461299373 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.224 |
| Item number | CRO/I |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Crowell,R. H. |
| 245 #0 - TITLE STATEMENT | |
| Title | Introduction to knot theory/ |
| Statement of responsibility, etc. | R. H. Crowell |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2011. |
| Place of publication, distribution, etc. | New York : |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 196p. : |
| Dimensions | 24cm. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Prerequisites.- I * Knots and Knot Types.- <br/>1. Definition of a knot.- <br/>2. Tame versus wild knots.- <br/>3. Knot projections.- <br/>4. Isotopy type, amphicheiral and invertible knots.- <br/>II *; The Fundamental Group.- <br/>1. Paths and loops.- <br/>2. Classes of paths and loops.- <br/>3. Change of basepoint.- <br/>4. Induced homomorphisms of fundamental groups.- <br/>5. Fundamental group of the circle.- <br/>III * The Free Groups.- <br/>1. The free group F[A].- <br/>2. Reduced words.- <br/>3. Free groups.- <br/>IV * Presentation of Groups.- <br/>1. Development of the presentation concept.- <br/>2. Presentations and presentation types.- <br/>3. The Tietze theorem.- <br/>4. Word subgroups and the associated homomorphisms.- <br/>5. Free abelian groups.- <br/>V * Calculation of Fundamental Groups.- <br/>1. Retractions and deformations.- <br/>2. Homotopy type.- <br/>3. The van Kampen theorem.- <br/>VI * Presentation of a Knot Group.- <br/>1. The over and under presentations.- <br/>2. The over and under presentations, continued.- <br/>3. The Wirtinger presentation.- <br/>4. Examples of presentations.- <br/>5. Existence of nontrivial knot types.- <br/>VII * The Free Calculus and the Elementary Ideals.- <br/>1. The group ring.- <br/>2. The free calculus.- <br/>3. The Alexander matrix.- <br/>4. The elementary ideals.- <br/>VIII * The Knot Polynomials.- <br/>1. The abelianized knot group.- <br/>2. The group ring of an infinite cyclic group.- <br/>3. The knot polynomials.- <br/>4. Knot types and knot polynomials.- <br/>IX * Characteristic Properties of the Knot Polynomials.- <br/>1. Operation of the trivialize.- <br/>2. Conjugation.- <br/>3. Dual presentations.- |
| 650 ## - SUBJECT | |
| Keyword | Knot theory. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 514.224 CRO/I | P39968 | 29/08/2016 | General Books |