03901nam 2200865z- 450 991055730760332120210501(CKB)5400000000042780(oapen)https://directory.doabooks.org/handle/20.500.12854/69419(oapen)doab69419(EXLCZ)99540000000004278020202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMathematical Physics IIBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (182 p.)3-03943-495-0 3-03943-496-9 The charm of Mathematical Physics resides in the conceptual difficulty of understanding why the language of Mathematics is so appropriate to formulate the laws of Physics and to make precise predictions. Citing Eugene Wigner, this "unreasonable appropriateness of Mathematics in the Natural Sciences" emerged soon at the beginning of the scientific thought and was splendidly depicted by the words of Galileo: "The grand book, the Universe, is written in the language of Mathematics." In this marriage, what Bertrand Russell called the supreme beauty, cold and austere, of Mathematics complements the supreme beauty, warm and engaging, of Physics. This book, which consists of nine articles, gives a flavor of these beauties and covers an ample range of mathematical subjects that play a relevant role in the study of physics and engineering. This range includes the study of free probability measures associated with p-adic number fields, non-commutative measures of quantum discord, non-linear Schrödinger equation analysis, spectral operators related to holomorphic extensions of series expansions, Gibbs phenomenon, deformed wave equation analysis, and optimization methods in the numerical study of material properties.Mathematics and SciencebicsscResearch and information: generalbicsscB-splinesBanach *-probability spacesbearing capacitycrack growth behaviordeformed wave equationdual tight frameletsdynamic modelsfailure probabilityFCM fuelFourier-Legendre expansionfree probabilitygeneralized Fourier transformGibbs phenomenonholomorphic extensionHuygens' principleinitial-boundary value problemintersecting flawsmNLS equationnon-commutativity measurenon-Euclidean Fourier transformoblique extension principleoptimizationp-adic number fieldsparticle modelparticle swarm optimizationprimesprolongation structurePSOquantum discordquasi-affinereinforced concreterepresentation of ??(2,ℝ)retaining wallRiemann-Hilbert problemsemicircular elementsshift-invariant systemsilicon carbidespherical Laplace transformthermal-mechanical performancetruncated linear functionalsuniaxial compressionweighted-semicircular elementsMathematics and ScienceResearch and information: generalDe Micheli Enricoedt1289207De Micheli EnricoothBOOK9910557307603321Mathematical Physics II3021086UNINA