Methods of Hilbert Spaces in the Theory

Methods of Hilbert Spaces in the Theory
Pris
Pris
1 109,- 1 109,-
E-Bok
Format E-Bok
Filformat PDF
Utgivelsesår 1994
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789814354127
Sider 140
Se flere detaljer  

Om Methods of Hilbert Spaces in the Theory

This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrödinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the “quantal” Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, Bäcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.Contents:IntroductionOrdinary Differential Equations:Evolution Equation in Hilbert SpaceOperator Evolution EquationsSymmetries and First IntegralsAlternative Linearization ApproachesPartial Differential Equations:Evolution Equation in Hilbert SpaceOperator Evolution EquationsSymmetries and First IntegralsDifference Equations:Evolution Equation in Hilbert SpaceOperator Evolution EquationsFunctional EquationsApplications:First IntegralsLinearization TransformationsBäcklund TransformationsFeigenbaum-Cvitanovic Renormalization EquationsChaosAppendices: Hilbert SpacesQuantum MechanicsBose Operators and Coherent StatesPosition and Momentum OperatorsFunctional DerivativeBibliographySymbol IndexSubject IndexReadership: Researchers in the field of nonlinear dynamical systems and advanced graduate students.Key Features:Discussions of algorithms that will give other education developers an insight on the actual implementation strategiesHighlights important tools to help education content creators prepare learning and testing multimedia itemsDescriptions of technical details on methods for cell phone and mobile device educational content development


Kundevurderinger

ARKs anbefalinger

Det finnes ingen vurderinger av dette produktet. Skriv anmeldelse

Anbefalt


Tips en venn