Discriminants, Resultants, and Multidimensional Determinants
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)
Birkhauser Boston Inc (Verlag)
978-0-8176-4770-4 (ISBN)
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
“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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