03060nam a22005175i 4500 978-3-031-49776-6 DE-He213 20251030111438.0 cr nn 008mamaa 240222s2024 sz | s |||| 0|eng d 9783031497766 978-3-031-49776-6 10.1007/978-3-031-49776-6 doi QA8-10.4 PBB bicssc MAT015000 bisacsh PBB thema Krieger, Martin H. author. aut http://id.loc.gov/vocabulary/relators/aut 71555 Primes and Particles [electronic resource] : Mathematics, Mathematical Physics, Physics / by Martin H. Krieger. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XVII, 102 p. 9 illus., 4 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. Mathematics Philosophy. 69649 Physics Philosophy. 70515 Mathematical physics. Philosophy of Mathematics. 69650 Philosophy of Physics. 70518 Mathematical Physics. Theoretical, Mathematical and Computational Physics. 65563 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031497759 Printed edition: 9783031497773 Printed edition: 9783031497780 https://doi.org/10.1007/978-3-031-49776-6 ZDB-2-SMA ZDB-2-SXMS 57805 57805