《判別式結式和多維行列式》以全新的方式講述了結式和判別式的經典理論。書中好多重要的新的結果在作者早期的眾多文章中都已經面世過，本書巧妙合理地將這些新舊理論銜接起來，使之成為一本經典的著作。讀者對像：數學專業的高年級本科生、研究生和相關的科研人員。本書由蓋爾芬德著。

Preface
Introduction
I. GENERAL DISCRIMINANTS AND RESULTANTS
CHAPTER I. Projective Dual Varieties and GeneralDiscriminants
I. Definitions and basic examples
2. Duality for plane curves
3. The incidence variety and the proof of the bidualitytheorem
4. Further examples and properties of projective duality
5. The Katz dimension formula and its applications
CHAPTER 2. The Cayley Method for Studying Discriminants
1. Jet bundles and Koszul complexes
2, Discriminantai complexes
3, The degree and the dimension of the dual
4. Discriminantal complexes in terms of differential forms
5. The discriminant as the determinant of a spectral sequence
CHAPTER 3. Associated Varieties and General Resultants
1. Grassmannians. Preliminary material
2. Associated hypersurfaces
3. Mixed resultants
4. The Cayley method for the study of resultants
CHAPTER 4. Chow Varieties
1. Definitions and main properties
2. 0-cycles, factorizable forms and symmetric products
3. Cayley-Green-Morrison equations of Chow varieties