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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Power Geometry in Algebraic and Differential Equations, Volume 57 (Hardcover, 1st ed)
Loot Price: R3,033
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Power Geometry in Algebraic and Differential Equations, Volume 57 (Hardcover, 1st ed)
Series: North-Holland Mathematical Library
Expected to ship within 12 - 17 working days
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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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