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Mathematical Physics II
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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.
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Keywords
- B-splines
- Banach *-probability spaces
- bearing capacity
- crack growth behavior
- deformed wave equation
- dual tight framelets
- dynamic models
- failure probability
- FCM fuel
- Fourier–Legendre expansion
- free probability
- generalized Fourier transform
- Gibbs phenomenon
- holomorphic extension
- Huygens’ principle
- initial-boundary value problem
- intersecting flaws
- Mathematics & science
- mNLS equation
- non-commutativity measure
- non-Euclidean Fourier transform
- oblique extension principle
- optimization
- p-adic number fields
- particle model
- particle swarm optimization
- primes
- prolongation structure
- PSO
- quantum discord
- quasi-affine
- Reference, information & interdisciplinary subjects
- Reinforced concrete
- representation of ??(2,ℝ)
- Research & information: general
- retaining wall
- Riemann-Hilbert problem
- semicircular elements
- shift-invariant system
- silicon carbide
- spherical Laplace transform
- thermal–mechanical performance
- truncated linear functionals
- uniaxial compression
- weighted-semicircular elements
Links
DOI: 10.3390/books978-3-03943-496-1Editions