Quandles : an introduction to the algebra of knots / Mohamed Elhamdadi and Sam Nelson

By:

Elhamdadi, Mohamed, 1968 [author]

Contributor(s):

Nelson, Sam, 1974 [author]

Material type: Text

TextSeries: Student mathematical library ; 74.Publication details: New Delhi ; Providence, Rhode Island ; American Mathematical Society, 2019.Edition: Indian editionDescription: ix, 245 pages : illustrations ; 22 cmISBN:

9781470454869

Subject(s):

DDC classification:

23 514.2242 El39Q

Contents:

Knots and links -- Algebraic structures -- Quandles -- Quandles and groups -- Generalizations of quandles -- Enhancements -- Generalized knots and links.

Summary: Quandles and their kin--kei racks, biquandles, and biracks--are algebraic structures whose axioms encode the movement of knots in space, say Elhamdadi and Nelson, in the same way that groups encode symmetry and orthogonal transformations encode rigid motion. They introduce quandle theory to readers who are comfortable with linear algebra and basic set theory but may have no previous exposure to abstract algebra, knot theory, or topology. They cover knots and links, quandles, quandles and groups, generalizations of quandles, enhancements, and generalized knots and links.

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Holdings
Item type	Current library	Call number	Vol info	Status	Date due	Barcode
Gift Books	Library and Documentation Division PGRRL	514.2242 El39Q (Browse shelf(Opens below))	V.74	Available		G016889

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Previous	514 W641T Topology for Analysis /	514.2 B644I Introduction to Topology /	514.22 P886E Elements of combinatorial and differential topology /	514.2242 El39Q Quandles :	514.24 K781M Morse Theory : smooth and discrete /	514.3 W151S The Stone - Cech Compactification /	514.32 M94G General Topology /	Next

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Knots and links --
Algebraic structures --
Quandles --
Quandles and groups --
Generalizations of quandles --
Enhancements --
Generalized knots and links.

Quandles and their kin--kei racks, biquandles, and biracks--are algebraic structures whose axioms encode the movement of knots in space, say Elhamdadi and Nelson, in the same way that groups encode symmetry and orthogonal transformations encode rigid motion. They introduce quandle theory to readers who are comfortable with linear algebra and basic set theory but may have no previous exposure to abstract algebra, knot theory, or topology. They cover knots and links, quandles, quandles and groups, generalizations of quandles, enhancements, and generalized knots and links.

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