Power Geometry in Algebraic and Differen

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The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ord…
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    Om Power Geometry in Algebraic and Differen

    The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed. The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems. The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis.

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    Format
    E-Bok
    Kopisperre
    Teknisk DRM
    Filformat
    ePUB
    Utgivelsesår
    2000
    Forlag
    Elsevier Science
    Språk
    Engelsk
    ISBN
    9780080539331
    Serie
    Sider
    396

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