000 00337nam a2200109Ia 4500
999 _c192740
_d192740
020 _a978-3-662-46211-9
040 _cDepartment of Mathematics
100 _aLie, Sophus
245 0 _aTheory of Transformation Groups I/
260 _aNew York:
_bSpringer,
505 _aModern Presentation Three Principles of Thought Governing the Theory of Lie Local Transformation Equations and Essential Parameters Fundamental Differential Equations for Finite Continuous Transformation Groups One-Term Groups and Ordinary Differential Equations English Translation Complete Systems of Partial Differential Equations New Interpretation of the Solutions of a Complete System Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations Complete Systems Which Admit All Transformations of a One-term Group Characteristic Relationships Between the Infinitesimal Transformations of a Group Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants The Defining Equations for the Infinitesimal Transformations of a Group Determination of All Subgroups of an rr-term Group Transitivity, Invariants, Primitivity Determination of All Systems of Equations Which Admit a Given rr-term Group Invariant Families of Infinitesimal Transformations Composition and Isomorphism
856 _uhttp://link.springer.com/openurl?genre=book&isbn=978-3-662-46210-2
942 _cEBK