Power Geometry in Algebraic and Differential Equations is popular PDF and ePub book, written by A.D. Bruno in 2000-08-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Power Geometry in Algebraic and Differential Equations can be Read Online from any device for your convenience.
Power Geometry in Algebraic and Differential Equations Book PDF Summary
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.
Detail Book of Power Geometry in Algebraic and Differential Equations PDF
- Author : A.D. Bruno
- Release : 03 August 2000
- Publisher : Elsevier
- ISBN : 0080539335
- Genre : Mathematics
- Total Page : 396 pages
- Language : English
- PDF File Size : 18,6 Mb
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