Articles liés à Power Geometry in Algebraic and Differential Equations

Power Geometry in Algebraic and Differential Equations - Couverture rigide

 
9780444502971: Power Geometry in Algebraic and Differential Equations
Couverture rigide
ISBN 10 : 0444502971 ISBN 13 : 9780444502971
Editeur : Elsevier Science Ltd, 2000

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Elsevier Science Ltd
Date d'édition
2000
Langue
anglais
ISBN 10 
0444502971
ISBN 13 
9780444502971
Reliure
Relié
Nombre de pages
396
Éditeur
Bruno A.D.
Coordonnées du fabricant
ELSEVIER
https://www.elsevier.com/es-es

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