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Computational Linear and Commutative Algebra
Martin Kreuzer
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Description for Computational Linear and Commutative Algebra
Hardback. Num Pages: 339 pages, 1 black & white illustrations, biography. BIC Classification: PBF; PBUH; UYA. Category: (P) Professional & Vocational. Dimension: 167 x 290 x 27. Weight in Grams: 662.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Hardback
Publication date
2016
Condition
New
Number of Pages
321
Place of Publication
Cham, Switzerland
ISBN
9783319435992
SKU
V9783319435992
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Martin Kreuzer
Martin Kreuzer holds the Chair of Symbolic Computation at the University of Passau, Germany. Starting out in Commutative Algebra and Algebraic Geometry, his research interests have developed further into Computer Algebra and its applications, including industrial applications and algebraic cryptography. He is the author or co-author of five monographs on computational algebra, cryptography and logic. In his spare ... Read more
Reviews for Computational Linear and Commutative Algebra
The monograph could be used as a complementary source for classical Linear Algebra as well as an introductory book to Commutative Algebra and a starting lecture for Computer Algebra. For an interested reader it could be also a research monograph for an introduction to modern algebra. Even an experienced reader will discover new and unexpected aspects of the theory. ... Read more