| 書目名稱 | Primes and Particles | | 副標(biāo)題 | Mathematics, Mathema | | 編輯 | Martin H. Krieger | | 視頻video | http://file.papertrans.cn/756/755268/755268.mp4 | | 概述 | Presents many analogies between physical objects and mathematical structures.Shows how mathematics works in mathematical physics and how physics exemplifies mathematics.Argues that the mathematical ri | | 圖書封面 |  | | 描述 | 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. | | 出版日期 | Book 2024 | | 關(guān)鍵詞 | Ising Model; Mathematical Physics; Stability of Matter; Langlands Model in the Realm of Physics; Physica | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-49776-6 | | isbn_softcover | 978-3-031-49778-0 | | isbn_ebook | 978-3-031-49776-6 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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