Summary
This chapter is an expanded version of the lecture notes prepared by the second-named author for her introductory course at the CIMPA Graduate School on Systems of Polynomial Equations held in Buenos Aires, Argentina, in July 2003. We present an elementary introduction to residues and resultants and outline some of their multivariate generalizations. Throughout we emphasize the application of these ideas to polynomial system solving.
Partially supported by NSF Grant DMS-0099707.
Partially supported by Action A00E02 of the ECOS-SeTCIP French-Argentina bilateral collaboration, UBACYT X052 and ANPCYT 03-6568, Argentina.
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© 2005 Springer-Verlag Berlin Heidelberg
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Cattani, E., Dickenstein, A. (2005). Introduction to residues and resultants. In: Bronstein, M., et al. Solving Polynomial Equations. Algorithms and Computation in Mathematics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27357-3_1
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DOI: https://doi.org/10.1007/3-540-27357-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24326-7
Online ISBN: 978-3-540-27357-8
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