VERY GOOD: This book is in very good to excellent condition, with only a few signs of use and wear. The pages are free of writing and were printed on acid-free paper.
Product Details
This book is part of theModern Birkhäuser Classics in which "groundbreaking" and "foundational" research and survey monographs have been published. The publisher explains, "Through the MBC Series, a select number of these modern classics, entirely uncorrected, are being re-released in paperback (and as eBooks) to ensure that these treasures remain accessible to new generations of students, scholars, and researchers."
From the Preface: "This book has expanded from our attempt to construct a general theory of hypergeometric functions and can be regarded as a first step towards its systematic exposition. However, this step turned out to be so interesting and important, and the whole program so overwhelming, that we decided to present it as a separated work. Moreover, in the process of writing we discovered a beautiful area which had been nearly forgotten so that our work can be regarded as a natural continuation of the classical developments in algebra during the 19th century."
BRIEF CONTENTS
Part I. General Discriminants and Resultants
Projective Dual Varieties and General Discriminants
The Cayley Method for Studying Discriminants
Associated Varieties and General Resultants
Chow Varieties
Part II. 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
Part III. Classical Discriminants and Resultants
Discriminants and Resultants for Polynomials in One Variable
Discriminants and Resultants for Forms in Several Variables
Hyperdeterminants
Appendices
Determinants of Complexes
Cayley: On the Theory of Elimination
The book concludes with the sections Bibliography, Notes and References, List of Notations, and Index.
