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

 
9780444502971: Power Geometry in Algebraic and Differential Equations (Volume 57) (North-Holland Mathematical Library, Volume 57)
Hardcover
ISBN 10: 0444502971 ISBN 13: 9780444502971
Verlag: Elsevier Science, 2000

Inhaltsangabe

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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Verlag
Elsevier Science
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
0444502971
ISBN 13 
9780444502971
Einband
Gebundene Ausgabe
Anzahl der Seiten
396
Herausgeber
Bruno A.D.
Kontakt zum Hersteller
ELSEVIER
https://www.elsevier.com/es-es

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