A History of the Progress of the Calculus of Variations During the Nineteenth Century
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In our eReader you can find the full English version of the book. Read A History of the Progress of the Calculus of Variations During the Nineteenth Century Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A History of the Progress of the Calculus of Variations During the Nineteenth Century
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A treatise on the Calculus of Variations forms part of the second volume of Professor Price's Treatise on Infinitesi- mal Calculus. Oxford, 1854. The Calculus of Variations occupies pages 234 — 334 ; and there is an application of the subject to the conditions of integrability on pages 440—446. The author refers to the works of Euler, Lagrange, Poisson, Jacobi, Ostrogradsky, 464 PRICE.
Delaunay, Strauch, Jellett, and Schellbach. The treatise givies the usual theory of the variation of single in...tegrals ; it explains Jacohi's method of distinguishing between maxima and minima values ; it treats copiously of geodesic lines ; and it touches briefly on the variation of double integrals.
396. It may be of service to a student of Professor Price's work to refer to a few points in which he may find some dif- ficulty.
In Art. 93 we have given Poisson's proof of a certain relation, namely, JEy' + --Ka' = 0, and we have stated in Art. 94, that La- grange had proved this relation repeatedly. Mr Price on his pages 269 and 272 makes a remark which amounts to assuming that this result is obvious without demonstration.
What to read after A History of the Progress of the Calculus of Variations During the Nineteenth Century?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
A treatise on the Calculus of Variations forms part of the second volume of Professor Price's Treatise on Infinitesi- mal Calculus. Oxford, 1854. The Calculus of Variations occupies pages 234 — 334 ; and there is an application of the subject to the conditions of integrability on pages 440—446. The author refers to the works of Euler, Lagrange, Poisson, Jacobi, Ostrogradsky, 464 PRICE.
Delaunay, Strauch, Jellett, and Schellbach. The treatise givies the usual theory of the variation of single in...tegrals ; it explains Jacohi's method of distinguishing between maxima and minima values ; it treats copiously of geodesic lines ; and it touches briefly on the variation of double integrals.
396. It may be of service to a student of Professor Price's work to refer to a few points in which he may find some dif- ficulty.
In Art. 93 we have given Poisson's proof of a certain relation, namely, JEy' + --Ka' = 0, and we have stated in Art. 94, that La- grange had proved this relation repeatedly. Mr Price on his pages 269 and 272 makes a remark which amounts to assuming that this result is obvious without demonstration.
What to read after A History of the Progress of the Calculus of Variations During the Nineteenth Century?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
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