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by Julian Lowell Coolidge
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ISBN: 0486495760 Dover Publications Price: $75.00 |
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A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Unabridged republication of the first edition, Oxford University Press, Oxford, England, 1931, originally reprinted by Dover in 1959.
Table of Contents for A Treatise on Algebraic Plane Curves
| 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. | |||||||
| Abelian Integrals. | |||||||
| Moduli and Limiting Values. | |||||||
| Singular Points of Correspondences. | |||||||
| Nonlinear Series of Groups of Points on a Curve. | |||||||
| Higher Theory of Correspondences. | |||||||
| Parametric Representation of the General Curve. | |||||||
| Postulation of Linear Systems by Points. | |||||||
| Ternary Apolarity. | |||||||
| The Cremona Transformation. |