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020 _a9783031579851
_9978-3-031-57985-1
024 7 _a10.1007/978-3-031-57985-1
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
072 7 _aPBM
_2thema
245 1 0 _aKnotted Fields
_h[electronic resource] /
_cedited by Renzo L. Ricca, Xin Liu.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXIII, 348 p. 254 illus., 180 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x1617-9692 ;
_v2344
505 0 _a- A Topological Approach to Vortex Knots and Links -- From Knot Invariants to Knot Dynamics -- Multi-Valued Potentials in Topological Field Theory -- Excitable and Magnetic Knots -- Spiral Waves in Excitable Media: Seifert Framing and Helicity -- Designing Knotted Fields in Light and Electromagnetism -- Tangled Vortex Lines: Dynamics, Geometry and Topology of Quantum Turbulence -- An Introduction to Knotplot -- Using the Homflypt Polynomial to Compute Knot Types.
520 _aThis book provides a remarkable collection of contributions written by some of the most accredited world experts in the modern area of Knotted Fields. Scope of the book is to provide an updated view of some of the key aspects of contemporary research, with the purpose to cover basic concepts and techniques commonly used in the context of Knotted Fields. The material is presented to help the interested reader to become familiar with the fundamentals, from fluid flows to electromagnetism, from knot theory to numerical visualization, while presenting the new ideas and results in an accessible way to beginners and young researchers. No advanced knowledge is required, and at the end of each chapter, key references are provided to offer further information on particular topics of interest. All those keen on modern applications of topological techniques to the study of knotted fields in mathematical physics will find here a valuable and unique source of information. The work will be of interest to many researchers in the field.
650 0 _aGeometry.
_968763
650 0 _aTopology.
_972917
650 1 4 _aGeometry.
_968763
650 2 4 _aTopology.
_972917
700 1 _aRicca, Renzo L.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_978895
700 1 _aLiu, Xin.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_972162
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031579844
776 0 8 _iPrinted edition:
_z9783031579868
830 0 _aLecture Notes in Mathematics,
_x1617-9692 ;
_v2344
_975434
856 4 0 _uhttps://doi.org/10.1007/978-3-031-57985-1
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-LNM
999 _c60822
_d60822