Plane Algebraic Curves (Classic Reprint) - Softcover

Inhaltsangabe

Explore the geometry of plane curves with a rigorous, uncleared path to understanding. This classic advanced text presents a focused study of algebraic curves in the plane, balancing theory with worked examples and practical hints. While not a casual introduction, it guides readers through essential concepts and techniques that underpin the subject, helping serious students build a solid foundation and move toward more complex topics.

The book surveys coordinates, projections, curve tracing, and the geometry of singular points, then expands into tangential equations, polar reciprocity, foci, and a variety of derived curves. It also covers intersections, transformations, and special families of curves, including cubics and quartics, with careful guidance on how to approach difficult problems.

• Clear, example-driven exploration of core topics like curve tracing, tangents, and singularities


• Introduction to transformations, reciprocity, and the algebra of curves


• Focused chapters on intersections, derived curves, and specific curve families


• Hints and structured exercises to support self-study and classroom use

Ideal for readers who want a rigorous treatment of plane algebraic curves and are prepared to engage with challenging material.

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