TY - BOOK AU - Israel M. Gelfand AU - Mikhail M. Kapranov AU - Andrei V. Zelevinsky TI - Discriminants, resultants and multidimensional determinants SN - 9780817647704 AV - QA199 PY - 1994///] CY - New York PB - Springer Science + Business Media, LLC N1 - Introduction Part- I General Discriminants and Resultants 1. Projective Dual Varieties and General Discriminants 2. The Cayley Method for Studying Discriminants 3. Associated Varieties and General Resultants 4. Chow Varieties Part - II A-Discriminants and A-Resultants 5. Toric Varieties 6. Newton Polytopes and Chow Polytopes 7. Triangulations and Secondary Polytopes 8. A-Resultants and Chow Polytopes of Toric Varieties 9. A-Discriminants 10. Principal A-Determinants 11. Regular A-Determinants and A-Discriminants Part - III Classical Discriminants and Resultants 12. Discriminants and Resultants for Polynomials in One Variable 13. Discriminants and Resultants for Forms in Several Variables 14. Hyperdeterminants N2 - 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. --- summary provided by publisher ER -