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The Principle of Least Action #2020

The Principle of Least Action This historic book may have numerous typos and missing text Purchasers can usually download a free scanned copy of the original book without typos from the publisher Not indexed Not illustrated e

  • Title: The Principle of Least Action
  • Author: Philip Edward Bertrand Jourdain
  • ISBN: 9781230737355
  • Page: 326
  • Format: Paperback
  • The Principle of Least Action By Philip Edward Bertrand Jourdain, This historic book may have numerous typos and missing text Purchasers can usually download a free scanned copy of the original book without typos from the publisher Not indexed Not illustrated 1913 edition Excerpt MAUPERTUIS AND THE PRINCIPLE OF LEAST ACTION THE present investigations are concerned with the history of the Principle of Least Action in the handThis historic book may have numerous typos and missing text Purchasers can usually download a free scanned copy of the original book without typos from the publisher Not indexed Not illustrated 1913 edition Excerpt MAUPERTUIS AND THE PRINCIPLE OF LEAST ACTION THE present investigations are concerned with the history of the Principle of Least Action in the hands of Maupertuis, Euler and others The subject is of great importance in the history of mechanics, both because the principle of least action became, in the hands of Lagrange, the mother, as Jacobi expressed it, of our analytical mechanics, and because the animistic tendency displayed in the search for a maximum or a minimum principle in physics undoubtedly had a great influence on such moulders of mechanical theory as Euler, Lagrange in his early work.1 Hamilton, Gauss, and, in our own times, Willard Gibbs I have avoided, as much as possible, entering into merely biographical details and details of the great controversy between Maupertuis, Konig, Euler, and Voltaire about Besides Lagrange s early printed works, his correspondence with Euler allows us to form some impression of the stimulating effect which the principle of least action had on Lagrange s mind at the beginning of his career Lagrange s correspondence with Euler extends from 1754 probably the year is not given to 1775 and is reproduced in the CEuvres de Lagrange, vol xiv, PP 133 245 Already in 1754 Lagrange announces ibid p 138 that he has made some observations about the maxima and minima which are in the actions of nature In a letter of August 12, 1755 ibid pp 138 139 Lagrange informs Euler that he had a new and simpler method of solving isoperimetrical problems and ibid pp 140 144 gives a full statement of it cf Euler s reply, ibid pp 144 146 This discovery of what was afterwards called the calculus of variations certainly gave the principle of least action an additional attractiveness

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      Published :2019-09-24T14:27:18+00:00

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