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A Treatise on Analytic Geometry (Classic Reprint): Especially as Applied to the Properties of Conics: Including the Modern Methods of Abridged ... of Abridged Notation (Classic Reprint) - Softcover
Synopsis
Unlock the geometry of conics and quadrics with a rigorous, step‑by‑step approach. This classic text offers clear methods for analyzing curves and surfaces, from circles to hyperboloids, using modern abridged notation. You’ll see how equations translate into shapes and gain a framework for exploring central and non‑central quadrics with real and imaginary forms.
The work introduces the classification of quadric surfaces, explains how to derive equations for spheres, ellipsoids, paraboloids, and hyperboloids, and demonstrates the geometric meaning behind each form. It emphasizes the analytic method, showing how to transition from three‑dimensional surfaces to their two‑dimensional cross‑sections and how these cross‑sections reveal the surface’s nature.
- How to classify and visualize quadric surfaces such as ellipsoids, hyperboloids, paraboloids, and cones
- How to derive and interpret equations for circles, spheres, and revolved shapes
- How cross‑sections with planes reveal the real or imaginary nature of sections
- Practical examples that connect algebraic forms to geometric shapes
Ideal for readers of advanced geometry, analytic geometry, and those studying the properties of conics and quadrics who want a solid, method‑driven understanding of the subject.
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Paperback. Condition: New. Print on Demand. This book takes readers on a journey through analytic geometry, showcasing its evolution from its inception as a method of geometrically representing unknown dimensions to its modern incarnation as an algebraically expressive tool. The author traces the subject's lineage from its roots in the works of Descartes and Fermat, through its development by Euler and Gauss, to its current position as a cornerstone of contemporary mathematics. Along the way, the author explores the interrelationship between analytic geometry and calculus, demonstrating how the two disciplines complement each other to provide a comprehensive understanding of geometric forms and their properties. The book also delves into the practical applications of analytic geometry, highlighting its use in fields such as engineering, physics, and astronomy. Ultimately, the book demonstrates that analytic geometry is not just a collection of techniques, but a powerful tool for understanding the world around us. By providing a geometric interpretation of algebraic equations, it allows us to visualize and analyze complex phenomena in a way that would otherwise be impossible. 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. Seller Inventory # 9781330327326_0
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A Treatise on Analytic Geometry: Especially as Applied to the Properties of Conics: Including the Modern Methods of Abridged Notation (Classic Reprint)
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Paperback. Condition: Brand New. abridged edition edition. 618 pages. 9.02x5.98x1.25 inches. This item is printed on demand. Seller Inventory # zk1330327322
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A Treatise on Analytic Geometry : Especially as Applied to the Properties of Conics: Including the Modern Methods of Abridged Notation (Classic Reprint)
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