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Primes and particlesmathematics, mathematical physics, physics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Primes and particlesby Martin H. Krieger.
Reminder of title:	mathematics, mathematical physics, physics /
Author:	Krieger, Martin H.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xvii, 102 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical physics.
Online resource:	https://doi.org/10.1007/978-3-031-49776-6
ISBN:	9783031497766$q(electronic bk.)

Primes and particlesmathematics, mathematical physics, physics /
Krieger, Martin H.

Primes and particlesmathematics, mathematical physics, physics /[electronic resource] :by Martin H. Krieger. - Cham :Springer Nature Switzerland :2024. - xvii, 102 p. :ill. (some col.), digital ;24 cm.

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 such effectiveness, and the power of rigorous mathematical physics. Newton is our original model, with Galileo earlier suggesting that mathematics is the language of Nature.

ISBN: 9783031497766$q(electronic bk.)

Standard No.: 10.1007/978-3-031-49776-6doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

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520 $a 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 such effectiveness, and the power of rigorous mathematical physics. Newton is our original model, with Galileo earlier suggesting that mathematics is the language of Nature.
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