Theory of transformation groups I = ...
Lie, Sophus.

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  • Theory of transformation groups I = General properties of continuous transformation groups : a contemporary approach and translation /
  • 紀錄類型: 書目-電子資源 : Monograph/item
    正題名/作者: Theory of transformation groups I/ by Sophus Lie ; edited by Joel Merker.
    其他題名: General properties of continuous transformation groups : a contemporary approach and translation /
    作者: Lie, Sophus.
    其他作者: Merker, Joel.
    出版者: Berlin, Heidelberg :Springer Berlin Heidelberg : : 2015.,
    面頁冊數: xv, 643 p. :ill., digital ;24 cm.
    內容註: Part I Modern Presentation -- 1 Three Principles of Thought Governing the Theory of Lie -- 2 Local Transformation Equations and Essential Parameters -- 3 Fundamental Differential Equations for Finite Continuous Transformation Groups -- 4 One-Term Groups and Ordinary Differential -- Part II English Translation -- 5 Complete Systems of Partial Differential Equations -- 7 Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations -- 8 Complete Systems Which Admit All Transformations of a One-term Group -- 9 Characteristic Relationships Between the Infinitesimal Transformations of a Group -- 10 Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants -- 11 The Defining Equations for the Infinitesimal Transformations of a Group -- 12 Determination of All Subgroups of an r-term Group -- 13 Transitivity, Invariants -- 14 Determination of All Systems of Equations Which Admit a Given r-term Group -- 15 Invariant Families of Infinitesimal Transformations -- 16 The Adjoint Group -- 17 Composition and Isomorphism -- 18 Finite Groups, the Transformations of Which Form Discrete Continuous Families -- 19 Theory of the Similarity [AEHNLICHKEIT] of r-term Groups -- 20 Groups, the Transformations of Which Are Interchangeable With All Transformations of a Given Group -- 21 The Group of Parameters -- 22 The Determination of All r-term Groups -- 23 Invariant Families of Manifolds -- 24 Systatic and Asystatic Transformation Groups -- 25 Differential Invariants -- 26 The General Projective Group -- 27 Linear Homogeneous Groups -- 28 Approach [ANSATZ] towards the Determination of All Finite Continuous Groups of the n-times Extended Space -- 29 Characteristic Properties of the Groups Which are Equivalent to Certain Projective Groups -- Glossary of significantly used words -- Index.
    Contained By: Springer eBooks
    標題: Transformation groups. -
    電子資源: http://dx.doi.org/10.1007/978-3-662-46211-9
    ISBN: 9783662462119 (electronic bk.)
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W9268798 電子資源 01.外借(書)_YB 電子書 EB QA387 .L716 2015 一般使用(Normal) 在架 0
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