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Power Geometry in Algebraic and Differential Equations

Power Geometry in Algebraic and Differential Equations

A.D. Bruno

Elsevier Science
Publication date : 2000-08-03

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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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About the book

Author

A.D. Bruno

Imprint

Elsevier Science

Collection

n.c

Publication date

2000-08-03

Pages

396 pages

Print ISBN

9780444502971

Language

English

Ebook informations

EAN PDF

9780080539331

Price

£116.05

Copy count 39

Print count 39

File size 15852 Ko

Informations accessibility

EAN EPUB DRM-FREE

9780080539331

Price

£116.05

Informations accessibility

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About author(s)

A.D. Bruno

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