{"product_id":"nonlinear-waves-and-solitons-on-contours-and-closed-surfaces","title":"Nonlinear Waves and Solitons on Contours and Closed Surfaces","description":"\u003cp\u003eIn this review of Nonlinear Waves and Solitons on Contours and Closed Surfaces the author presents a focused introduction to soliton theory in compact geometries, and this book's single biggest reason to buy is its targeted treatment of curves, loops and closed surfaces that bridges topology, differential geometry and applied modeling. The text assumes prior familiarity with basic soliton theory and nonlinear dynamical systems, so readers looking for an introductory primer will find the coverage compact and mathematically precise rather than broadly introductory.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eCompact-space focus:\u003c\/strong\u003e The book concentrates on nonlinear waves and solitons specifically on closed curves and surfaces, providing examples and models tied to compact geometries.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eMathematical foundations:\u003c\/strong\u003e Relevant notions from topology and differential geometry are introduced to equip the reader to treat the manifolds considered.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eContour dynamics:\u003c\/strong\u003e An accessible introduction to the theory of motion of curves and surfaces places the subject within the emerging field of contour dynamics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePhysical modeling:\u003c\/strong\u003e Discussion of filaments, loops and drops links the mathematical theory with models of almost incompressible materials across multiple disciplines.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAssumes prior knowledge:\u003c\/strong\u003e The volume builds on basic soliton theory and nonlinear dynamical systems, making it efficient for readers who already have that background.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThe book is best for graduate students, researchers and practitioners in applied mathematics, mathematical physics and differential geometry who already know the basics of soliton theory and want to extend that knowledge to compact manifolds and contour problems. It will also suit interdisciplinary scientists modeling physical phenomena on loops, filaments and closed surfaces.\u003c\/p\u003e\n\u003cp\u003eReaders seeking a beginner-friendly introduction to solitons with little mathematical background should look elsewhere, since the text assumes familiarity with nonlinear dynamical systems and focuses on rigorous, compact-space treatments rather than elementary exposition.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eCareful integration of topology and differential geometry supports rigorous treatment of compact manifolds.\u003c\/li\u003e\n\u003cli\u003eConcrete modeling sections connect the theory to physical examples like filaments, loops and drops.\u003c\/li\u003e\n\u003cli\u003eConcise focus on contour dynamics provides a fresh perspective within soliton literature.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNot intended as a beginner textbook; prior knowledge of soliton theory is required.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eNonlinear Waves and Solitons on Contours and Closed Surfaces\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSpringer Series in Synergetics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor\u003c\/td\u003e\n\u003ctd\u003eAndrei Ludu\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eNonlinear waves and soliton theory on closed curves and surfaces\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePrerequisites\u003c\/td\u003e\n\u003ctd\u003eBasic soliton theory and nonlinear dynamical systems\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eTopics included\u003c\/td\u003e\n\u003ctd\u003eTopology, differential geometry, contour dynamics, physical modeling\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eThis volume is a focused, valuable resource for mathematically prepared readers who want to apply soliton theory to compact spaces and contour dynamics; its rigorous foundation in \u003cstrong\u003edifferential geometry\u003c\/strong\u003e and its connection to physical models make it good value for graduate students and researchers seeking depth rather than a general introduction.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book require prior knowledge?\u003c\/strong\u003e\u003cbr\u003eYes. The text assumes familiarity with basic soliton theory and nonlinear dynamical systems.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWhat topics from mathematics are introduced?\u003c\/strong\u003e\u003cbr\u003eThe book introduces relevant notions from topology and differential geometry needed to treat closed curves and surfaces.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eIs this suitable for experimentalists?\u003c\/strong\u003e\u003cbr\u003eExperimentalists working on filament or droplet systems may find the physical modeling sections useful, though some mathematical background will help.\u003c\/p\u003e","brand":"Andrei Ludu","offers":[{"title":"Default Title","offer_id":48174954315995,"sku":"3642440517","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61yR2yP8EKL._SL1246.jpg?v=1769658358","url":"https:\/\/gearmusthave.com\/products\/nonlinear-waves-and-solitons-on-contours-and-closed-surfaces","provider":"GearMustHave","version":"1.0","type":"link"}