Elimination Methods

Name: Elimination Methods
Price: 74.97 USD
Availability: InStock
ISBN: 9783211832417

ISBN-10: 3211832416

ISBN-13: 9783211832417

Edition: 2001

Authors: D. Wang

List price: $109.99

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Buy new: $114.30

Marketplace

3 new & used from $74.97

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

This book provides a systematic and uniform presentation of elimination methods and the underlying theories, along the central line of decomposing arbitrary systems of polynomials into triangular systems of various kinds. Highlighting methods based on triangular sets, the book also covers the theory and techniques of resultants and Grbner bases. The methods and their efficiency are illustrated by fully worked out examples and their applications to selected problems such as from polynomial ideal theory, automated theorem proving in geometry and the qualitative study of differential equations. The reader will find the formally described algorithms ready for immediate implementation and…

Book details

List price: $109.99
Copyright year: 2001
Publisher: Springer
Publication date: 11/30/2000
Binding: Paperback
Pages: 244
Size: 6.69" wide x 9.61" long x 0.17" tall
Weight: 1.144



List of symbols



Polynomial arithmetic and zeros



Polynomials



Greatest common divisor, pseudo-division, and polynomi remainder sequences



Resultants and subresultants



Field extension and factorization



Zeros and ideals



Hilbert's Nullstellensatz



Zero decomposition of polynomial systems



Triangular systems



Characteristic-set-based algorithm



Seidenberg's algorithm refined



Subresultant-based algorithm



Projection and simple systems



Projection



Zero decomposition with projection



Decomposition into simple systems



Properties of simple systems



Irreducible zero decomposition



Irreducibility of triangular sets



Decomposition into irreducible triangular systems



Properties of irreducible triangular systems



Irreducible simple systems



Various elimination algorithms



Regular systems



Canonical triangular sets



Grobner bases



Resultant elimination



Computational algebraic geometry and polynomial-ideal theory



Dimension



Decomposition of algebraic varieties



Ideal and radical ideal membership



Primary decomposition of ideals



Applications



Solving polynomial systems



Automated geometry theorem proving



Automatic derivation of unknown relations



Other geometric applications



Algebraic factorization



Center conditions for certain differential systems


Bibliographic notes


References


Subject index