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Item Details
Title: POWER GEOMETRY IN ALGEBRAIC AND DIFFERENTIAL EQUATIONS
Volume: Volume 57
By: A. D. Bruno (Editor)
Format: Hardback

List price: £80.99


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ISBN 10: 0444502971
ISBN 13: 9780444502971
Publisher: ELSEVIER SCIENCE & TECHNOLOGY
Pub. date: 1 June, 2000
Series: North-Holland Mathematical Library
Pages: 396
Description: The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. This work demonstrates the efficiency of the calculus with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics.
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.
Publication: UK
Imprint: Elsevier Science Ltd
Returns: Non-returnable

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