03392nam a22005295i 4500 978-3-031-57985-1 DE-He213 20251030112319.0 cr nn 008mamaa 240620s2024 sz | s |||| 0|eng d 9783031579851 978-3-031-57985-1 10.1007/978-3-031-57985-1 doi QA440-699 PBM bicssc MAT012000 bisacsh PBM thema Knotted Fields [electronic resource] / edited by Renzo L. Ricca, Xin Liu. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIII, 348 p. 254 illus., 180 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture Notes in Mathematics, 1617-9692 ; 2344 - 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. This 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. Geometry. 68763 Topology. 72917 Geometry. 68763 Topology. 72917 Ricca, Renzo L. editor. edt http://id.loc.gov/vocabulary/relators/edt 78895 Liu, Xin. editor. edt http://id.loc.gov/vocabulary/relators/edt 72162 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031579844 Printed edition: 9783031579868 Lecture Notes in Mathematics, 1617-9692 ; 2344 75434 https://doi.org/10.1007/978-3-031-57985-1 ZDB-2-SMA ZDB-2-SXMS ZDB-2-LNM 60822 60822