TY - BOOK ID - 85830493 TI - Topological methods in hydrodynamics AU - Arnol'd, V. I. AU - Khesin, Boris A. PY - 2021 SN - 3030742784 3030742776 PB - Cham, Switzerland : Springer, DB - UniCat KW - Mathematics. KW - Fluid mechanics. KW - System theory. KW - Computational intelligence. KW - Mathematical physics. KW - Dynamics. KW - Ergodic theory. KW - Mathematics, general. KW - Engineering Fluid Dynamics. KW - Complex Systems. KW - Computational Intelligence. KW - Theoretical, Mathematical and Computational Physics. KW - Dynamical Systems and Ergodic Theory. KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mathematics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - Physical mathematics KW - Intelligence, Computational KW - Artificial intelligence KW - Soft computing KW - Systems, Theory of KW - Systems science KW - Science KW - Hydromechanics KW - Continuum mechanics KW - Math KW - Philosophy KW - Hydrodynamics. KW - Fluid dynamics KW - Hidrodinàmica KW - Topologia KW - Poliedres KW - Teoria de conjunts KW - Aplicacions (Matemàtica) KW - Categories (Matemàtica) KW - Compactificacions KW - Conjunts de Borel KW - Dinàmica topològica KW - Espais mètrics KW - Espais vectorials topològics KW - Grups de transformacions KW - Grups topològics KW - Jocs d'estratègia (Matemàtica) KW - Politops KW - Teoria de l'homotopia KW - Teoria de la dimensió (Topologia) KW - Teoria de la dualitat (Matemàtica) KW - Teoria de grafs KW - Teoria dels reticles KW - Topologia algebraica KW - Topologia combinatòria KW - Topologia diferencial KW - Varietats (Matemàtica) KW - Varietats topològiques KW - Xarxes (Matemàtica) KW - Àlgebra lineal KW - Dinàmica de fluids KW - Enginyeria hidràulica KW - Mecànica KW - Mecànica analítica KW - Mecànica de fluids KW - Cavitació KW - Ones KW - Ones de gravetat KW - Turbulència KW - Urodinàmica KW - Viscositat KW - Vòrtexs UR - https://www.unicat.be/uniCat?func=search&query=sysid:85830493 AB - First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. This book, now accepted as one of the main references in the field, is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. The updated second edition also contains a survey of recent developments in this now-flourishing field of topological and geometric hydrodynamics. ER -