Theory of Transformation Groups I/

By: Lie, SophusMaterial type: TextTextPublication details: New York: Springer, ISBN: 978-3-662-46211-9Online resources: Click here to access online
Contents:
Modern 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
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