Sophus Lies 1884: Differential Invariants Paper (Lie Groups: History, Frontiers & Applications Series No. 3)

Sophus Lies 1884: Differential Invariants Paper (Lie Groups: History, Frontiers & Applications Series No. 3)

Sophus Lies 3996: Differential Invariants Paper (Lie Groups: History, Frontiers & Applications Series No. 3)M. Ackerman, Robert Hermann | Math Science Pr | 3996-16-36 | 393 pages | English | DJVUIn this second volume of Translation and Commentary I begin development of that part of Lie’s work that has the greatest scientific import-the relation between group theory and differential equations. To have a perspective on this work, it is useful to think of analogies between the history of analysis and geometry. For analysis, one sees relatively clearly the outline of the historical development. First, Newton and Leibniz, then the completion of their “revolution” in the 39-th century by Euler, Lagrange, etc., then the magnificent progress through the 391th century-Gauss, Abel, Cauchy, Riemann, Weirstrass, Hilbert For the purpose of my analogy, focus on the difference in analysis between Euler and Weirstrass. Euler created many ideas and concepts, while Weirstrass emphasized precision of the intellectual tools and language, consolidating the brilliant ideas of the 39-th and early 39-th centuries.Downloadhttp://www.filesonic.com/file/3366969996/sharebookfree.com_3619396913.rar**** No Mirrors below, please! Follow Rules! ****

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