A treatise on algebraic plane curves
Book Description
This classic text offers advanced students a detailed, through introduction and background to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. It is almost entirely confined to the properties of the general curve rather than a detailed study of curves of the third or fourth order, and it chiefly employs algebraic procedure, with large portions written according to the spirit and methods of the Italian geometers. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. Readers will find this volume ample preparation for the symbolic notation of Aronhold and Clebsch. 1931 ed. 17 illustrations.
Table Of Content
Partial contents:
The Fundamental Properties of Polynomials.
Elementary Properties of Curves.
Asymptotes.
Real Circuits of Curves.
Nesting Circuits.
Elementary Invariant Theory.
Projective Theory of Singular Points.
Plucker's Equations.
Klein's Equation.
The Genus.
Metrical Properties of Curves.
The Singular Points.
The Reduction of Singularities.
Development in Series.
Clustering Singularities.
Systems of Points on a Curve.
General Theory of Linear Series.