Primes and Particles: Mathematics, Mathematical Physics, Physics
Krieger, Martin H.
- 出版商: Birkhauser Boston
- 出版日期: 2024-02-23
- 售價: $4,410
- 貴賓價: 9.5 折 $4,190
- 語言: 英文
- 頁數: 102
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031497759
- ISBN-13: 9783031497759
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相關分類:
物理學 Physics
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相關主題
商品描述
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.
商品描述(中文翻譯)
許多哲學家、物理學家和數學家都對數學與其抽象、純粹、獨立的結構與自然現象的複雜性之間的關係感到驚奇。著名的維格納發現數學在定義和支持物理理論方面的「有效性」是不合理的，因為它的工作效果非常出色。事實上，為什麼這些數學結構應該如此契合，甚至在科學探索和發現自然中具有啟發性呢？本書認為數學在物理學中的有效性是合理的。作者以質數和基本粒子、基本結構的親緣關係和粒子系統的結構、光譜和對稱性，以及數學極限和物理情境等有用的類比為基礎。二維的伊辛模型和關於日常物質穩定性的證明是這種有效性和嚴謹的數學物理的例子。牛頓是我們最初的模範，而早在此之前，伽利略就提出數學是自然的語言。
作者簡介
Martin H. Krieger was trained as an experimental physicist at Columbia University. He is a Fellow of the American Physical Society. Krieger has taught in policy and planning and management at the University of California (Berkeley), Minnesota (Twin-Cities), MIT, University of Southern California, and University of Michigan (Ann Arbor). He has been a fellow at the Center for Advanced Study in the Behavioral Sciences and the National Humanities Center. Krieger is professor emeritus at the University of Southern California. Primes and Particles is his twelfth book. His earlier books include Doing Physics (Indiana, 1992, 2012), Constitutions of Matter (Chicago, 1996), and Doing Mathematics (World Scientific, 2003, 2015).
作者簡介(中文翻譯)
Martin H. Krieger在哥倫比亞大學接受實驗物理學的訓練，並成為美國物理學會的會士。Krieger曾在加州大學（柏克萊分校）、明尼蘇達大學（雙城分校）、麻省理工學院、南加州大學和密西根大學（安娜堡分校）教授政策、規劃和管理課程。他曾是行為科學高等研究中心和國家人文中心的研究員。Krieger現為南加州大學的名譽教授。《質數與粒子》是他的第十二本書。他早期的著作包括《做物理學》（印第安納大學出版社，1992年，2012年）、《物質的構成》（芝加哥大學出版社，1996年）和《做數學》（世界科學出版社，2003年，2015年）。
