Examples of Analytical Geometry of Three Dimensions (Classic Reprint) - Hardcover

Isaac Todhunter

Hardcover

ISBN 10: 0364083808 ISBN 13: 9780364083802

Publisher: Forgotten Books, 2018

Synopsis

Explore three‑dimensional geometry through concrete problems and clear results.

This edition, based on a classic collection, presents a wide range of analytical geometry topics in 3D. From ellipsoids and hyperboloids to cones and tangent planes, it guides you through methodical problem solving with emphasis on surfaces of the second order, curvature, and related geometric concepts.

The book emphasizes hands‑on technique: work through examples the way a mathematician does, derive key equations, and understand how different surfaces relate to one another. Each problem is designed to illuminate core ideas with logical steps and verifiable outcomes, helping you build a solid intuition for spatial reasoning.

• Practice with surfaces of the second order, including ellipsoids, hyperboloids, cones, and cylinders.
• Learn how normals, tangents, and conjugate directions shape geometric relationships.
• Explore curvature, radii of curvature, and special points like umbilici on diverse surfaces.
• See how the intersection of surfaces, projections, and sections reveal invariant properties.

Ideal for students of higher mathematics and readers who enjoy rigorous, example‑driven exploration of 3D geometry.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0364083808
• ISBN 13: 9780364083802
• Binding: Hardcover
• Number of pages: 102