{"product_id":"topological-methods-in-hydrodynamics-9783030742775","title":"Topological Methods in Hydrodynamics","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003eThe book is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It is accessible to graduates and pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 455 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 13 May 2021\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe first comprehensive monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It provides a comprehensive introduction to the necessary preliminary notions in both hydrodynamics and pure mathematics, accompanied by numerous examples and figures. This book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe book offers a comprehensive treatment of ideal hydrodynamics and magnetohydrodynamics, covering a wide range of topics.\u003c\/p\u003e\u003cp\u003eIt begins by introducing the fundamental principles of hydrodynamics and pure mathematics, providing a solid foundation for the subsequent discussions.\u003c\/p\u003e\u003cp\u003eThroughout the book, numerous examples and figures are used to illustrate the concepts and theories discussed, making it easier for readers to grasp and understand the material.\u003c\/p\u003e\u003cp\u003eThe book is organized into chapters, each dedicated to a specific topic.\u003c\/p\u003e\u003cp\u003eChapter 1 provides an overview of the basic concepts in hydrodynamics, including fluid dynamics, thermodynamics, and electromagnetism.\u003c\/p\u003e\u003cp\u003eChapter 2 delves into the group-theoretic aspects of ideal hydrodynamics, exploring the symmetry properties of flow fields and the formation of singularities.\u003c\/p\u003e\u003cp\u003eChapter 3 discusses the geometric aspects of ideal hydrodynamics, including the study of manifolds, surfaces, and curves in the context of fluid flow.\u003c\/p\u003e\u003cp\u003eChapter 4 explores the application of ideal hydrodynamics to magnetohydrodynamics, discussing the behavior of magnetic fields in fluids and the formation of magnetic structures.\u003c\/p\u003e\u003cp\u003eChapter 5 discusses the numerical methods used to solve ideal hydrodynamics and magnetohydrodynamics problems, including finite difference and finite element techniques.\u003c\/p\u003e\u003cp\u003eChapter 6 summarizes the key findings and conclusions of the book.\u003c\/p\u003e\u003cp\u003eIdeal hydrodynamics and magnetohydrodynamics play a crucial role in many fields, including astrophysics, plasma physics, and engineering.\u003c\/p\u003e\u003cp\u003eThis book provides a valuable resource for researchers and students interested in these topics, offering a comprehensive and up-to-date treatment of the subject.\u003c\/p\u003e\u003cp\u003eIn conclusion, Ideal Hydrodynamics and Magnetohydrodynamics: A Unified Point of View is a groundbreaking work that offers a comprehensive and accessible introduction to the topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 875g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030742775\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 2nd ed. 2021\u003c\/p\u003e","brand":"Vladimir I. Arnold,Boris A. Khesin","offers":[{"title":"Hardback","offer_id":44103397146874,"sku":"9783030742775","price":91.62,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/1646388093604_book.jpg?v=1646988119","url":"https:\/\/shulphink.com\/products\/topological-methods-in-hydrodynamics-9783030742775","provider":"Shulph Ink","version":"1.0","type":"link"}