Plane Algebraic Curves (Classic Reprint) - Couverture souple

Harold Hilton

Couverture souple

ISBN 10 : 133034779X ISBN 13 : 9781330347799

Editeur : Forgotten Books, 2018

Synopsis

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.

A propos du livre

Présentation de l'éditeur

Excerpt from Plane Algebraic Curves

Though the theory of plane algebraic curves still attracts mathematical students, the English reader has not many suitable books at his disposal. Salmon's classic treatise supplied all that could be desired at the time of its appearance, but the last edition was published some forty years ago, and has been long out of print. It seemed therefore as if a new book on the subject might be useful, if only to bring some more recent developments within reach of the student.

In the preparation of this volume I have made frequent use of the books written by Salmon, Basset, Wieleitner, Teixeira, Loria, &c. But most of the contents and examples are extracted from a very large number of mathematical periodicals. With the exception of the list at the end of Ch. XX, I have not attempted to give systematic references. In fact, in a field which has attracted so many workers, it would be almost impossible to trace the steps by which particular results have reached their present form. In some cases I cannot even remember whether a result is my own or not; but Chapters IX, XI, XVII, and XVIII contain most of my own contributions to the subject. The solutions are mine for the most part, even in the case of examples derived from other authors.

About the Publisher

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 133034779X
• ISBN 13: 9781330347799
• Reliure: Broché
• Nombre de pages: 408
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