## An introduction to the algebra of quantics |

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### Contents

CHAPTER I | 1 |

Jacobians Hessians eliminants and discriminants 813 15 | 8 |

The modulus irresoluble 14 | 14 |

44 other sections not shown

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### Common terms and phrases

absolute covariants algebraically annihilated binary cubic binary p-ic binary quantic canonical form Cayley cogredient complete system consequently constant contravariants corresponding covariants and invariants degree and order denote differential Diophantine equations discriminant equal equations evectants expressed in terms fact finite number function of a0 function of differences geometrical harmonic conjugates Hence Hessian homogeneous function identity independent invariants invariant of degree invariant or covariant invariants and covariants involves irreducible invariants Jacobian leading coefficient linear covariant linear form linear function linear substitution linear transformation mixed concomitants modulus multiplied number of linearly numerical multiple obtained occur orthogonal invariants partial degrees particular positive integral prove quadratic quantic or quantics rational integral function rational integral invariant rationally and integrally second degree seminvariants of degree sextic suffixes symmetric function system of irreducible syzygy Taylor's theorem terms free theorem transformed quantic transvectant values vanish variants zero