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Physical Knots: Knotting, Linking, and Folding Geometric Objects in $\mathbb {R}^3$
Language: en
Pages: 356
Authors: Jorge Alberto Calvo
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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The properties of knotted and linked configurations in space have long been of interest to physicists and mathematicians. More recently and more widely, they ha
Quandles
Language: en
Pages: 257
Authors: Mohamed Elhamdadi
Categories: Mathematics
Type: BOOK - Published: 2015-08-27 - Publisher: American Mathematical Soc.

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From prehistory to the present, knots have been used for purposes both artistic and practical. The modern science of Knot Theory has ramifications for biochemis
Energy of Knots and Conformal Geometry
Language: en
Pages: 306
Authors: Jun O'Hara
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: World Scientific

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Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book int
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Language: en
Pages: 430
Authors: Audrey Terras
Categories: Mathematics
Type: BOOK - Published: 2013-09-12 - Publisher: Springer Science & Business Media

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This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plan
Toric Topology
Language: en
Pages: 534
Authors: Victor M. Buchstaber
Categories: Mathematics
Type: BOOK - Published: 2015-07-15 - Publisher: American Mathematical Soc.

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This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplecti