Power Geometry in Algebraic and Differential Equations pdf epub mobi txt 电子书下载 2024

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Bruno, A.D 编

2000-8

396

$ 150.29

9780444502971

图书标签: 数学 in and Power Geometry Equations Differential Algebraic

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发表于2024-11-14

Power Geometry in Algebraic and Differential Equations epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Power Geometry in Algebraic and Differential Equations pdf epub mobi txt 电子书下载 2024

图书描述

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.

Power Geometry in Algebraic and Differential Equations 下载 mobi epub pdf txt 电子书