This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, B???cklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are B???cklund-Darboux transformations with their remarkable associated nonlinear ...
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This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, B???cklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are B???cklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text is concerned. In this geometric context, solitonic equations arise out of the Gau???-Mainardi-Codazzi equations for various types of surfaces that admit invariance under B???cklund-Darboux transformations. This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physics.
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Add this copy of Bäcklund and Darboux Transformations: Geometry and to cart. $66.28, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2002 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Line drawings, Halftones, Unspecified. Cambridge Texts in Applied Mathematics . 48 b/w illus. 76 exercises. Intended for professional and scholarly audience.
Add this copy of Bäcklund and Darboux Transformations: Geometry and to cart. $169.74, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2002 by Cambridge University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Contains: Line drawings, Halftones, Unspecified. Cambridge Texts in Applied Mathematics . 48 b/w illus. 76 exercises. Intended for professional and scholarly audience.
