Mathematical Physics II
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”...
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| Format: | Online |
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| Język: | angielski |
| Wydane: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Hasła przedmiotowe: | |
| Dostęp online: | ONIX_20210501_9783039434954_1165 |
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| _version_ | 1869521302193176576 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-69419 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-694192024-03-28T03:32:20Z Mathematical Physics II De Micheli, Enrico prolongation structure mNLS equation Riemann-Hilbert problem initial-boundary value problem free probability primes p-adic number fields Banach *-probability spaces weighted-semicircular elements semicircular elements truncated linear functionals FCM fuel thermal–mechanical performance failure probability silicon carbide quantum discord non-commutativity measure dynamic models Gibbs phenomenon quasi-affine shift-invariant system dual tight framelets oblique extension principle B-splines crack growth behavior particle model intersecting flaws uniaxial compression reinforced concrete retaining wall optimization bearing capacity particle swarm optimization PSO generalized Fourier transform deformed wave equation Huygens’ principle representation of ??(2,ℝ) holomorphic extension spherical Laplace transform non-Euclidean Fourier transform Fourier–Legendre expansion thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:49:12Z 2021-05-01T15:49:12Z 2020 book ONIX_20210501_9783039434954_1165 9783039434954 9783039434961 https://directory.doabooks.org/handle/20.500.12854/69419 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3221 https://mdpi.com/books/pdfview/book/3221 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03943-496-1 10.3390/books978-3-03943-496-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039434954 9783039434961 182 Basel, Switzerland open access |
| spellingShingle | prolongation structure mNLS equation Riemann-Hilbert problem initial-boundary value problem free probability primes p-adic number fields Banach *-probability spaces weighted-semicircular elements semicircular elements truncated linear functionals FCM fuel thermal–mechanical performance failure probability silicon carbide quantum discord non-commutativity measure dynamic models Gibbs phenomenon quasi-affine shift-invariant system dual tight framelets oblique extension principle B-splines crack growth behavior particle model intersecting flaws uniaxial compression reinforced concrete retaining wall optimization bearing capacity particle swarm optimization PSO generalized Fourier transform deformed wave equation Huygens’ principle representation of ??(2,ℝ) holomorphic extension spherical Laplace transform non-Euclidean Fourier transform Fourier–Legendre expansion thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Mathematical Physics II |
| title | Mathematical Physics II |
| title_full | Mathematical Physics II |
| title_fullStr | Mathematical Physics II |
| title_full_unstemmed | Mathematical Physics II |
| title_short | Mathematical Physics II |
| title_sort | mathematical physics ii |
| topic | prolongation structure mNLS equation Riemann-Hilbert problem initial-boundary value problem free probability primes p-adic number fields Banach *-probability spaces weighted-semicircular elements semicircular elements truncated linear functionals FCM fuel thermal–mechanical performance failure probability silicon carbide quantum discord non-commutativity measure dynamic models Gibbs phenomenon quasi-affine shift-invariant system dual tight framelets oblique extension principle B-splines crack growth behavior particle model intersecting flaws uniaxial compression reinforced concrete retaining wall optimization bearing capacity particle swarm optimization PSO generalized Fourier transform deformed wave equation Huygens’ principle representation of ??(2,ℝ) holomorphic extension spherical Laplace transform non-Euclidean Fourier transform Fourier–Legendre expansion thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | prolongation structure mNLS equation Riemann-Hilbert problem initial-boundary value problem free probability primes p-adic number fields Banach *-probability spaces weighted-semicircular elements semicircular elements truncated linear functionals FCM fuel thermal–mechanical performance failure probability silicon carbide quantum discord non-commutativity measure dynamic models Gibbs phenomenon quasi-affine shift-invariant system dual tight framelets oblique extension principle B-splines crack growth behavior particle model intersecting flaws uniaxial compression reinforced concrete retaining wall optimization bearing capacity particle swarm optimization PSO generalized Fourier transform deformed wave equation Huygens’ principle representation of ??(2,ℝ) holomorphic extension spherical Laplace transform non-Euclidean Fourier transform Fourier–Legendre expansion thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039434954_1165 |