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020 _a9783031497766
_9978-3-031-49776-6
024 7 _a10.1007/978-3-031-49776-6
_2doi
050 4 _aQA8-10.4
072 7 _aPBB
_2bicssc
072 7 _aMAT015000
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072 7 _aPBB
_2thema
100 1 _aKrieger, Martin H.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971555
245 1 0 _aPrimes and Particles
_h[electronic resource] :
_bMathematics, Mathematical Physics, Physics /
_cby Martin H. Krieger.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXVII, 102 p. 9 illus., 4 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aMany 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.
650 0 _aMathematics
_xPhilosophy.
_969649
650 0 _aPhysics
_xPhilosophy.
_970515
650 0 _aMathematical physics.
650 1 4 _aPhilosophy of Mathematics.
_969650
650 2 4 _aPhilosophy of Physics.
_970518
650 2 4 _aMathematical Physics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_965563
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031497759
776 0 8 _iPrinted edition:
_z9783031497773
776 0 8 _iPrinted edition:
_z9783031497780
856 4 0 _uhttps://doi.org/10.1007/978-3-031-49776-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c57805
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