03179nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001600186072002300202072001500225245008000240250001800320264006900338300006800407336002600475337002600501338003600527347002400563490005300587505047200640520104101112650002102153650002102174650002102195650002102216700008402237700007802321710003402399773002602433776003602459776003602495830006002531856004602591912001402637912001502651912001402666999001702680978-3-031-57985-1DE-He21320251030112319.0cr nn 008mamaa240620s2024    sz |    s    |||| 0|eng d  a97830315798519978-3-031-57985-17 a10.1007/978-3-031-57985-12doi 4aQA440-699 7aPBM2bicssc 7aMAT0120002bisacsh 7aPBM2thema10aKnotted Fieldsh[electronic resource] /cedited by Renzo L. Ricca, Xin Liu.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXIII, 348 p. 254 illus., 180 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aLecture Notes in Mathematics,x1617-9692 ;v23440 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.  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. 0aGeometry.968763 0aTopology.97291714aGeometry.96876324aTopology.9729171 aRicca, Renzo L.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9788951 aLiu, Xin.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9721622 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303157984408iPrinted edition:z9783031579868 0aLecture Notes in Mathematics,x1617-9692 ;v234497543440uhttps://doi.org/10.1007/978-3-031-57985-1  aZDB-2-SMA  aZDB-2-SXMS  aZDB-2-LNM  c60822d60822