Power Geometry in Algebraic and Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Geometry
Cover of the book Power Geometry in Algebraic and Differential Equations by , Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9780080539331
Publisher: Elsevier Science Publication: August 3, 2000
Imprint: Elsevier Science Language: English
Author:
ISBN: 9780080539331
Publisher: Elsevier Science
Publication: August 3, 2000
Imprint: Elsevier Science
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Elsevier Science

Cover of the book Composite Structures by
Cover of the book The Utilization of Slag in Civil Infrastructure Construction by
Cover of the book Demystifying Mixed Signal Test Methods by
Cover of the book Regional Geology and Tectonics by
Cover of the book Adsorption of Gases on Heterogeneous Surfaces by
Cover of the book Plastic Product Material and Process Selection Handbook by
Cover of the book The Alkaloids by
Cover of the book Human Parasitology by
Cover of the book Dictionary of Toxicology by
Cover of the book Lipid Droplets by
Cover of the book Solid State Physics by
Cover of the book Sorghum and Millets by
Cover of the book Ferroelectricity in Doped Hafnium Oxide by
Cover of the book The Corresponding-States Principle and its Practice by
Cover of the book Digital Signal Processing 101 by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy