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Books > Science & Mathematics > Mathematics > Algebra
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Computational Linear and Commutative Algebra (Hardcover, 1st ed. 2016)
Loot Price: R2,681
Discovery Miles 26 810
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Computational Linear and Commutative Algebra (Hardcover, 1st ed. 2016)
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This book combines, in a novel and general way, an extensive
development of the theory of families of commuting matrices with
applications to zero-dimensional commutative rings, primary
decompositions and polynomial system solving. It integrates the
Linear Algebra of the Third Millennium, developed exclusively here,
with classical algorithmic and algebraic techniques. Even the
experienced reader will be pleasantly surprised to discover new and
unexpected aspects in a variety of subjects including eigenvalues
and eigenspaces of linear maps, joint eigenspaces of commuting
families of endomorphisms, multiplication maps of zero-dimensional
affine algebras, computation of primary decompositions and maximal
ideals, and solution of polynomial systems. This book completes a
trilogy initiated by the uncharacteristically witty books
Computational Commutative Algebra 1 and 2 by the same authors. The
material treated here is not available in book form, and much of it
is not available at all. The authors continue to present it in
their lively and humorous style, interspersing core content with
funny quotations and tongue-in-cheek explanations.
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