TY - BOOK ID - 133768837 TI - Mathematical Physics II PY - 2020 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - Research & information: general KW - Mathematics & science KW - prolongation structure KW - mNLS equation KW - Riemann-Hilbert problem KW - initial-boundary value problem KW - free probability KW - primes KW - p-adic number fields KW - Banach *-probability spaces KW - weighted-semicircular elements KW - semicircular elements KW - truncated linear functionals KW - FCM fuel KW - thermal–mechanical performance KW - failure probability KW - silicon carbide KW - quantum discord KW - non-commutativity measure KW - dynamic models KW - Gibbs phenomenon KW - quasi-affine KW - shift-invariant system KW - dual tight framelets KW - oblique extension principle KW - B-splines KW - crack growth behavior KW - particle model KW - intersecting flaws KW - uniaxial compression KW - reinforced concrete KW - retaining wall KW - optimization KW - bearing capacity KW - particle swarm optimization KW - PSO KW - generalized Fourier transform KW - deformed wave equation KW - Huygens’ principle KW - representation of ??(2,ℝ) KW - holomorphic extension KW - spherical Laplace transform KW - non-Euclidean Fourier transform KW - Fourier–Legendre expansion UR - https://www.unicat.be/uniCat?func=search&query=sysid:133768837 AB - 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. ER -