Discriminants, Resultants, and Multidimensional Determinants

Buch | Softcover
523 Seiten
2008 | Reprint of the 1994 ed. Softcover reprint of the original 1st ed. 1994
Birkhauser Boston Inc (Verlag)
978-0-8176-4770-4 (ISBN)

Lese- und Medienproben

Discriminants, Resultants, and Multidimensional Determinants - Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky
139,09 inkl. MwSt
Revives and expands the classical theory of resultants and discriminants.
“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




  

             

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.

Reihe/Serie Modern Birkhäuser Classics
Zusatzinfo 8 Illustrations, black and white; X, 523 p. 8 illus.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-8176-4770-8 / 0817647708
ISBN-13 978-0-8176-4770-4 / 9780817647704
Zustand Neuware
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