與傅立葉和泊松同時期的法國物理學家——W.W. 勞斯·鮑爾的數學史簡述

與傅立葉和泊松同時期的法國物理學家——W.W. 勞斯·鮑爾的數學史簡述

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Sadi Carnot
Among Fourier's contemporaries who were interested in the theory of heat the most eminent was Sadi Carnot, a son of the eminent geometrician mentioned above. Sadi Carnot was born at Paris in 1796, and died there of cholera in August 1832; he was an officer in the French army. In 1824 he issued a short work entitled Réflexions sur la puissance motrice du feu , in which he attempted to determine in what way heat produced its mechanical effect. He made the mistake of assuming that heat was material, but his essay may be taken as initiating the modern theory of thermodynamics.
Ampère
André Marie Ampère was born at Lyons on January 22, 1775, and died at Marseilles on June 10, 1836. He was widely read in all branches of learning, and lectured and wrote on many of them, but after the year 1809, when he was made professor of analysis at the Polytechnic school in Paris, he confined himself almost entirely to mathematics and science. His papers on the connection between electricity and magnetism were written in 1820. According to his theory, propounded in 1826, a molecule of matter which can be magnetized is traversed by a closed electric current, and magnetization is produced by any cause which makes the direction of these currents in the different molecules of the body approach parallelism.
Fresnel, Biot
Augustin Jean Fresnel, born at Broglie on May 10, 1788, and died at Ville-d'Avray on July 14, 1827, was a civil engineer by profession, but he devoted his leisure to the study of physical optics. The undulatory theory of light, which Hooke, Huygens, and Euler had supported on a priori grounds, had been based on experiment by the researches of Young. Fresnel deduced the mathematical consequences of these experiments, and explained the phenomena of interference both of ordinary and polarized light. Fresnel's friend and contemporary, Jean Baptiste Biot, who was born at Paris on April 21, 1774, and died there in 1862, requires a word or two in passing. Most of his mathematical work was in connection with the subject of optics, and especially the polarization of light. His systematic works were produced within the years 1805 and 1817; a selection of his more valuable memoirs was published in Paris in 1858.
Arago
François Jean Dominique Arago was born at Estagel in the Pyrenees on February 26, 1786, and died in Paris on October 2, 1853. He was educated at the Polytechnic school, Paris, and we gather from his autobiography that however distinguished were the professors in that institution they were remarkably incapable of imparting their knowledge or maintaining discipline.
In 1804 Arago was made secretary to the observatory at Paris, and from 1806 to 1809 he was engaged in measuring a meridian arc in order to determined the exact length of a metre. He was then appointed to a leading post in the observatory, given a residence there, and made a professor at the Polytechnic school, where he enjoyed a marked success as a lecturer. He subsequently gave popular lectures on astronomy, which were both lucid and accurate ‐ a combination of qualities which was rarer then than now. He reorganized the national observatory, the management of which has long been inefficient, but in doing this his want of tact and courtesy raised many unnecessary difficulties. He remained to the end a consistent republican, and after the coup d'état of 1852, though half blind and dying, he resigned his post as astronomer rather than take the oath of allegiance. It is to the credit of Napoleon III. that he gave directions that the old man should be in no way disturbed, and should be left free to say and do what he liked.
Arago's earliest physical researches were on the pressure of steam at different temperatures, and the velocity of sound, 1818 to 1822. His magnetic observations mostly took place from 1823 to 1826. He discovered what has been called rotatory magnetism, and the fact that most bodies could be magnetized; these discoveries were completed and explained by Faraday. He warmly supported Fresnel's optical theories, and the two philosophers conducted together those experiments on the polarization of light which led to the inference that the vibrations of the luminiferous ether were transverse to the direction of motion, and that polarization consisted in a resolution of rectilinear motion into components at right angles to each other. The subsequent invention of the polariscope and discover of rotatory polarization are due to Arago. The general idea of the experimental determination of the velocity of light in the manner subsequently effected by Fizeau and Foucault was suggested by him in 1838, but his failing eyesight prevented his arranging the details or making the experiments.
It will be noticed that some of the last members of the French school were alive at a comparatively recent date, but nearly all their mathematical work was done before the year 1830. They are the direct successors of the French writers who flourished at the commencement of the nineteenth century, and seem to have been out of touch with the great German mathematicians of the early part of it, on whose researches much of the best work of that century is based; they are thus placed here, though their writings are in some cases of a later date than those of Gauss, Abel and Jacobi.

背景和作者介紹

本文介紹了18世紀末和19世紀初科學史上的幾位關鍵人物,重點介紹了他們對物理學、數學和光學的貢獻。這些科學家,包括薩迪·卡諾、安德烈·瑪麗·安培、奧古斯丁·菲涅耳、讓-巴蒂斯特·比奧和弗朗索瓦·阿拉戈,都是為現代科學理論和技術奠定基礎的先驅。他們生活在科學快速發展的時代,他們的工作幫助塑造了熱力學、電磁學和光學等領域。

薩迪·卡諾,通常被稱為“熱力學之父”,是一位法國軍官,他於1824年發表的論文開啟了對熱能如何轉化為機械功的現代理解。安德烈·瑪麗·安培是一位數學家和物理學家,他最出名的是關於電和磁之間關係的研究,這導致了電磁學的發展。奧古斯丁·菲涅耳推進了光的波動理論,解釋了干涉和偏振等現象。讓·巴蒂斯特·比奧對光學做出了重大貢獻,尤其是在理解偏振光方面。弗朗索瓦·阿拉戈是一位天文學家和物理學家,他在磁學和光偏振方面取得了重要發現,並以其對科學和共和主義理想的奉獻而聞名。

詳細闡釋和意義

這些科學家的故事不僅僅是關於他們的發現,也是關於在挑戰面前的求知精神和毅力。例如,卡諾認為熱是一種物質的假設是錯誤的,但他的工作是基礎性的。安培關於磁化物質中分子電流的理論是理解電磁學的關鍵一步。菲涅耳和比奧對光的研究幫助證實了光的波動性質,這與早期的粒子理論有了重大轉變。

阿拉戈的人生故事尤其鼓舞人心,因為它既反映了科學成就,也反映了個人 integrity。儘管政治動盪和個人健康問題,他仍然堅守自己的原則,並致力於推進知識。他與菲涅耳在光偏振實驗上的合作對塑造現代光學至關重要。

給學生的經驗教訓和見解

  1. 好奇心和批判性思維: 這些科學家表明了提出問題和挑戰現有觀念的重要性。即使一些假設是錯誤的,他們探索新概念的意願也帶來了突破。

  2. 學習的毅力: 這些人物中的許多人都面臨著困難——無論是科學、政治還是個人——但他們繼續工作。這教導學生堅持不懈和韌性的價值。

  3. 跨學科學習: 科學家們結合了來自不同領域的知識——數學、物理學、工程學——來解決複雜的問題。學生可以學會跨學科整合知識。

  4. 倫理和誠信: 阿拉戈拒絕宣誓反對他的信仰,提醒我們堅守自己的原則很重要,即使在壓力之下。

  5. 合作: 菲涅耳和阿拉戈之間的合作突出了共同努力如何能帶來更大的發現。

在日常生活和學習中的應用

  • 在學習中: 學生可以養成提問和探索課本之外的習慣,就像這些科學家對他們的實驗和理論所做的那樣。
  • 在社交生活中: 阿拉戈所展現的倫理立場鼓勵人們堅持正確的事情,並在互動中保持誠實。
  • 在解決問題中: 像這些科學家一樣,結合來自不同學科的知識,可以幫助學生創造性地應對挑戰。
  • 在個人成長中: 了解失敗或錯誤(如卡諾對熱的假設)是學習的一部分,可以激勵學生不斷嘗試。

從這些故事中培養積極的特質

  • 好奇心: 鼓勵在日常生活中問“為什麼”和“如何”。
  • 韌性: 學會將挫折視為成長的機會。
  • 合作: 與同伴一起分享想法並解決問題。
  • 誠信: 培養強大的道德指南針,並堅守自己的價值觀。
  • 終身學習: 將學習視為一個持續的旅程,而不仅仅是一项学校任务。

通過研究這些先驅科學家的生活和工作,學生不僅可以獲得關於重要科學原理的知識,還可以學習有價值的 life skills 和態度,這些可以幫助他們在學業和個人方面取得成功。