Mathematics, Mathematical Physics, Physics Krieger, Martin H. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XVII, 102 p. 9 illus., 4 illus. in color. online resource. 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. by Martin H. Krieger. Mathematics Philosophy Physics Philosophy Mathematical physics Philosophy of Mathematics Philosophy of Physics Mathematical Physics Theoretical, Mathematical and Computational Physics QA8-10.4 9783031497766 https://doi.org/10.1007/978-3-031-49776-6 https://doi.org/10.1007/978-3-031-49776-6 240222 20251030111438.0 978-3-031-49776-6