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Power Geometry in Algebraic and Differential Equations, Volume 57 (North-Holland Mathematical Library)

From Brand: Elsevier Science




[PDF.yw67] Power Geometry in Algebraic and Differential Equations, Volume 57 (North-Holland Mathematical Library)

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 | #15891079 in Books |  Elsevier Science |  2000-08-17 | Original language:English | PDF # 1 |  9.21 x.88 x6.14l,1.61 | File type: PDF | 396 pages

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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, 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 demo...

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