Power Geometry in Algebraic and Differential Equations

Name: Power Geometry in Algebraic and Differential Equations
Brand: Elsevier Science
SKU: 9780444502971
Price: 597.36 RON
Availability: InStock

Autor: A. D. Bruno

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Legare: Copertă tare

Editura: Elsevier Science

Disponibilitate: În depozitul extern

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The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and...

Informații despre carte

Autor

A. D. Bruno

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2000

Pagini

396

EAN

9780444502971

ISBN

0444502971

Enbook ID

04610787

Editura

Elsevier Science

Greutate

729

Dimensiuni

156 x 234 x 22

Descriere completă

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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Power Geometry in Algebraic and Differential Equations

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