Preface |
Introduction |
The Elements of Invariant Theory / Part I: |
The forms / 1: |
The linear transformation / 2: |
The concept of an invariant / 3: |
Properties of invariants and covariants / 4: |
The operation symbols D and D / 5: |
The smallest system of conditions for the determination of the invariants and covariants / 6: |
The number of invariants of degree g / 7: |
The invariants and covariants of degree two and three / 8: |
Simultaneous invariants and covariants / 9: |
Covariants of covariants / 10: |
The invariants and covariants as functions of the roots / 11: |
The invariants and covariants as functions of the one-sided derivatives / 12: |
The symbolic representation of invariants and covariants / 13: |
The Theory of Invariant Fields / Part II: |
Proof of the finitenesss of the full invariant system via representation by root differences / 14: |
A generalizable proof for the finiteness of the full invariant system / 15: |
The system of invariants I; I1, I2, ..., Ik / 16: |
The vanishing of the invariants / 17: |
The ternary nullform / 18: |
The finiteness of the number of irreducible syzygies and of the syzygy chain / 19: |
The inflection point problem for plane curves of order three / 20: |
The generalization of invariant theory / 21: |
Observations about new types of coordinates / 22: |
Preface |
Introduction |
The Elements of Invariant Theory / Part I: |