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＜電子ブック＞
Primes and Particles : Mathematics, Mathematical Physics, Physics / by Martin H. Krieger

版	1st ed. 2024.
出版者	(Cham : Springer Nature Switzerland : Imprint: Birkhäuser)
出版年	2024
本文言語	英語
大きさ	XVII, 102 p. 9 illus., 4 illus. in color : online resource
著者標目	*Krieger, Martin H author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Philosophy  全ての件名で検索 LCSH:Physics -- Philosophy  全ての件名で検索 LCSH:Mathematical physics FREE:Philosophy of Mathematics FREE:Philosophy of Physics FREE:Mathematical Physics FREE:Theoretical, Mathematical and Computational Physics
一般注記	Many philosophers, physicists, and mathematicians have wondered about the remarkable relationship between mathematics with its abstract, pure, independent structures on one side, and the wilderness of natural phenomena on the other. Famously, Wigner found the "effectiveness" of mathematics in defining and supporting physical theories to be unreasonable, for how incredibly well it worked. Why, in fact, should these mathematical structures be so well-fitting, and even heuristic in the scientific exploration and discovery of nature? This book argues that the effectiveness of mathematics in physics is reasonable. The author builds on useful analogies of prime numbers and elementary particles, elementary structure kinship and the structure of systems of particles, spectra and symmetries, and for example, mathematical limits and physical situations. The two-dimensional Ising model of a permanent magnet and the proofs of the stability of everyday matter exemplify sucheffectiveness, and the power of rigorous mathematical physics. Newton is our original model, with Galileo earlier suggesting that mathematics is the language of Nature HTTP:URL=https://doi.org/10.1007/978-3-031-49776-6

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