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＜電子ブック＞
Discriminants, Resultants, and Multidimensional Determinants / by Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky
(Modern Birkhäuser Classics. ISSN:21971811)

版	1st ed. 1994.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	1994
本文言語	英語
大きさ	X, 523 p. 8 illus : online resource
著者標目	*Gelfand, Israel M author Kapranov, Mikhail author Zelevinsky, Andrei author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Universal algebra LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algebras, Linear LCSH:Algebraic geometry FREE:Algebra FREE:General Algebraic Systems FREE:Commutative Rings and Algebras FREE:Linear Algebra FREE:Algebraic Geometry
一般注記	General Discriminants and Resultants -- Projective Dual Varieties and General Discriminants -- The Cayley Method for Studying Discriminants -- Associated Varieties and General Resultants -- Chow Varieties -- A-Discriminants and A-Resultants -- Toric Varieties -- Newton Polytopes and Chow Polytopes -- Triangulations and Secondary Polytopes -- A-Resultants and Chow Polytopes of Toric Varieties -- A-Discriminants -- Principal A-Determinants -- Regular A-Determinants and A-Discriminants -- Classical Discriminants and Resultants -- Discriminants and Resultants for Polynomials in One Variable -- Discriminants and Resultants for Forms in Several Variables -- Hyperdeterminants "This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory."—Mathematical Reviews "Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory." —Zentralblatt Math "This book is highly recommended if you want to get into the thick of contemporary algebra, or if you wish to find some interesting problem to work on, whose solution will benefit mankind." —Gian-Carlo Rota, Advanced Book Reviews "…the book is almost perfectly written, and thus I warmly recommend it not only toscholars but especially to students. The latter do need a text with broader views, which shows that mathematics is not just a sequence of apparently unrelated expositions of new theories, … but instead a very huge and intricate building whose edification may sometimes experience difficulties … but eventually progresses steadily." —Bulletin of the American Mathematical Society HTTP:URL=https://doi.org/10.1007/978-0-8176-4771-1

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