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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Plane Algebraic Curves (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: New. Print on Demand. This book delves into the captivating world of plane algebraic curves, offering a comprehensive exploration of their properties and intricacies. While acknowledging the historical significance of classic works in this field, the author presents a fresh perspective, incorporating insights gleaned from extensive research and a deep understanding of the subject. Through clear explanations and illustrative examples, the book guides readers through fundamental concepts such as coordinates, projection, and curve tracing. It then progresses to more advanced topics, including singular points, tangential equations, and polar reciprocation. The author's own contributions to the field are evident in chapters dedicated to superlinear branches, derived curves, and the use of parameters for non-singular cubics. With a focus on the geometric and algebraic aspects of plane curves, the book reveals the profound connections between these two realms. It explores the fascinating properties of various curve types, including cubics, quartics, and higher-degree curves. By illuminating the interplay of mathematical principles and geometric shapes, this book offers a deeper appreciation for the beauty and complexity of plane algebraic curves. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330347799_0
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Plane Algebraic Curves (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330347799
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Plane Algebraic Curves (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330347799
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Plane Algebraic Curves (Classic Reprint)
Print-on-DemandAnbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. 408 pages. 9.00x6.00x0.92 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk133034779X
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PLANE ALGEBRAIC CURVES (CLASSI
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Zustand: New. KlappentextrnrnExcerpt from Plane Algebraic CurvesI must also express my gratitude to the Delegates of the University Press for so kindly undertaking the publication of the book.About the PublisherForgotten Books publishe. Bestandsnummer des Verkäufers 2147752786
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