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 Advances in Motivation Science by
Cover of the book Analysis and Risk of Nanomaterials in Environmental and Food Samples by
Cover of the book A Guide to Medical Computing by
Cover of the book Protein Engineering for Therapeutics, Part A by
Cover of the book Contributions to Sensory Physiology by
Cover of the book Introduction to Food Engineering by
Cover of the book Drag Reduction of Complex Mixtures by
Cover of the book Advances in Catalysis by
Cover of the book The Psychology of Learning and Motivation by
Cover of the book Pattern Recognition and Signal Analysis in Medical Imaging by
Cover of the book Analysis by
Cover of the book The Neuronal Codes of the Cerebellum by
Cover of the book The Neurology of HIV Infection by
Cover of the book Lea's Chemistry of Cement and Concrete by
Cover of the book Synthetic Peptides as Antigens 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