LEADER 01394nam2-2200397---450- 001 990003674010203316 005 20130205154257.0 010 $a978-88-218-1047-3 035 $a000367401 035 $aUSA01000367401 035 $a(ALEPH)000367401USA01 035 $a000367401 100 $a20120628d2012----km-y0itay50------ba 101 $aita 102 $aIT 105 $a||||||||001yy 200 1 $a<> Lingua padana e koinč cortigiana nella prima edizione dell'Orlando furioso$fMaurizio Vitale 210 $aRoma$cAccademia Nazionale dei Lincei$d2012 215 $a204 p.$d24 cm 410 0$12001 454 1$12001 461 1$1001000276746$12001$aAtti della Accademia nazionale dei Lincei. Classe di scienze morali, storiche e filologiche. Memorie 604 0 $aAriosto, Ludovico <1471-1533> . 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Roach 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$d2007 215 $a1 online resource (300 p.) 225 1 $aPrinceton series in applied mathematics 300 $aDescription based upon print version of record. 311 $a0-691-11340-8 320 $aIncludes bibliographical references (p. [275]-283) and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter One. Introduction and Outline of Contents -- $tChapter Two. Some Aspects of Waves on Strings -- $tChapter Three. Mathematical Preliminaries -- $tChapter Four. Spectral Theory and Spectral Decompositions -- $tChapter Five. On Nonautonomous Problems -- $tChapter Six. On Scattering Theory Strategies -- $tChapter Seven. Echo Analysis -- $tChapter Eight. Wave Scattering from Time-Periodic Perturbations -- $tChapter Nine Concerning Inverse Problems -- $tChapter Ten. Some Remarks on Scattering in Other Wave Systems -- $tChapter Eleven. Commentaries and Appendices -- $tBibliography -- $tIndex 330 $aThis book offers the first comprehensive introduction to wave scattering in nonstationary materials. G. F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material in question, "imperfections" in the resulting echo can reveal a tremendous amount of valuable diagnostic information. The mathematics behind such analysis is sophisticated and complex. However, while problems involving stationary materials are quite well understood, there is still much to learn about those in which the material is moving or changes over time. These so-called non-autonomous problems are the subject of this fascinating book. Roach develops practical strategies, techniques, and solutions for mathematicians and applied scientists working in or seeking entry into the field of modern scattering theory and its applications. Wave Scattering by Time-Dependent Perturbations is destined to become a classic in this rapidly evolving area of inquiry. 410 0$aPrinceton series in applied mathematics. 606 $aWaves$xMathematics 606 $aScattering (Physics)$xMathematics 606 $aPerturbation (Mathematics) 610 $aAcoustic wave equation. 610 $aAcoustic wave. 610 $aAffine space. 610 $aAngular frequency. 610 $aApproximation. 610 $aAsymptotic analysis. 610 $aAsymptotic expansion. 610 $aBanach space. 610 $aBasis (linear algebra). 610 $aBessel's inequality. 610 $aBoundary value problem. 610 $aBounded operator. 610 $aC0-semigroup. 610 $aCalculation. 610 $aCharacteristic function (probability theory). 610 $aClassical physics. 610 $aCodimension. 610 $aCoefficient. 610 $aContinuous function (set theory). 610 $aContinuous function. 610 $aContinuous spectrum. 610 $aConvolution. 610 $aDifferentiable function. 610 $aDifferential equation. 610 $aDimension (vector space). 610 $aDimension. 610 $aDimensional analysis. 610 $aDirac delta function. 610 $aDirichlet problem. 610 $aDistribution (mathematics). 610 $aDuhamel's principle. 610 $aEigenfunction. 610 $aEigenvalues and eigenvectors. 610 $aElectromagnetism. 610 $aEquation. 610 $aExistential quantification. 610 $aExponential function. 610 $aFloquet theory. 610 $aFourier inversion theorem. 610 $aFourier series. 610 $aFourier transform. 610 $aFredholm integral equation. 610 $aFrequency domain. 610 $aHelmholtz equation. 610 $aHilbert space. 610 $aInitial value problem. 610 $aIntegral equation. 610 $aIntegral transform. 610 $aIntegration by parts. 610 $aInverse problem. 610 $aInverse scattering problem. 610 $aLebesgue measure. 610 $aLinear differential equation. 610 $aLinear map. 610 $aLinear space (geometry). 610 $aLocally integrable function. 610 $aLongitudinal wave. 610 $aMathematical analysis. 610 $aMathematical physics. 610 $aMetric space. 610 $aOperator theory. 610 $aOrdinary differential equation. 610 $aOrthonormal basis. 610 $aOrthonormality. 610 $aParseval's theorem. 610 $aPartial derivative. 610 $aPartial differential equation. 610 $aPhase velocity. 610 $aPlane wave. 610 $aProjection (linear algebra). 610 $aPropagator. 610 $aQuantity. 610 $aQuantum mechanics. 610 $aReflection coefficient. 610 $aRequirement. 610 $aRiesz representation theorem. 610 $aScalar (physics). 610 $aScattering theory. 610 $aScattering. 610 $aScientific notation. 610 $aSelf-adjoint operator. 610 $aSelf-adjoint. 610 $aSeries expansion. 610 $aSine wave. 610 $aSpectral method. 610 $aSpectral theorem. 610 $aSpectral theory. 610 $aSquare-integrable function. 610 $aSubset. 610 $aTheorem. 610 $aTheory. 610 $aTime domain. 610 $aTime evolution. 610 $aUnbounded operator. 610 $aUnitarity (physics). 610 $aVector space. 610 $aVolterra integral equation. 610 $aWave function. 610 $aWave packet. 610 $aWave propagation. 615 0$aWaves$xMathematics. 615 0$aScattering (Physics)$xMathematics. 615 0$aPerturbation (Mathematics) 676 $a531/.1133 700 $aRoach$b G. F$g(Gary Francis)$013774 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778218403321 996 $aWave scattering by time dependent perturbations$93861442 997 $aUNINA