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OverviewThe 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. Full Product DetailsAuthor: A.D. Bruno (Keldysh Institute of Applied Mathematics, RAS, Miusskaja sq.4, Moscow 125047, Russia)Publisher: Elsevier Science & Technology Imprint: Elsevier Science Ltd Volume: v. 57 Dimensions: Width: 15.60cm , Height: 2.30cm , Length: 23.40cm Weight: 0.730kg ISBN: 9780444502971ISBN 10: 0444502971 Pages: 396 Publication Date: 03 August 2000 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Out of Print Availability: In Print  Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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