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Discriminants, Resultants, and Multidimensional Determinants (Modern Birkhauser Classics)

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Discriminants, Resultants, and Multidimensional Determinants (Modern Birkhauser Classics) Cover

 

Synopses & Reviews

Publisher Comments:

"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 to scholars 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

Synopsis:

"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

Table of Contents

Preface.- Introduction.- General Discriminants and Resultants.- Projective Dual Varieties and General Discriminants.- The Cayley Method of Studying Discriminants.- Associated Varieties and General Resultants.- Chow Varieties.- Toric Varieties.- Newton Polytopes and Chow Polytopes.- Triangulations and Secondary Polytopes.- A-Resultants and Chow Polytopes of Toric Varieties.- A-Discriminants.- Principal A-Discriminants.- 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.- Appendix A. Determinants.- Appendix B. A. Cayley: On the Theory of Elimination.- Bibliography.- Notes and References.- List of Notation.- Index

Product Details

ISBN:
9780817647704
Author:
Gelfand, Israel M.
Publisher:
Birkhauser
Author:
Kapranov, Mikhail
Author:
Kapranov, Mikhail M.
Author:
Zelevinsky, Andrei
Author:
Zelevinsky, Andrei V.
Location:
Boston, MA
Subject:
Discriminant analysis
Subject:
Determinants
Subject:
Algebra - Linear
Subject:
Geometry - Algebraic
Subject:
Algebra - General
Subject:
Algebraic Geometry
Subject:
elimination theory
Subject:
hyperdeterminants
Subject:
Polytopes
Subject:
resultants
Subject:
Algebra
Subject:
General Algebraic Systems
Subject:
Commutative Rings and Algebras
Subject:
Linear and Multilinear Algebras, Matrix Theory
Subject:
Mathematics-Linear Algebra
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
matrix theory
Copyright:
Edition Description:
Reprint of the 1994 ed.
Series:
Modern Birkhäuser Classics
Publication Date:
20080416
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
533
Dimensions:
235 x 155 mm 1650 gr

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Discriminants, Resultants, and Multidimensional Determinants (Modern Birkhauser Classics) New Trade Paper
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Product details 533 pages Birkhauser Boston - English 9780817647704 Reviews:
"Synopsis" by , "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
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