Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry (Classic Reprint) - Hardcover

Frederick S. Woods

Hardcover

ISBN 10: 0265793661 ISBN 13: 9780265793664

Publisher: Forgotten Books, 2019

Synopsis

Explore the geometry of higher dimensions with a clear, rigorous approach.

This advanced introduction shows how classic ideas like spheres, planes, and projections extend into n dimensions, using projective coordinates, stereographic projection, and minimum projection as guiding tools. The text ties together theory, construction, and practical exercises to build a solid foundation in 3D and beyond.

This edition presents a cohesive framework for understanding how transformations, coordinates, and geometric objects behave when you move beyond ordinary three-space. It covers key concepts such as poly-spherical coordinates, hyperspheres, and the role of projections in relating different geometries, with detailed examples and historical context.

• How collineations and transformations preserve or map geometric objects in higher spaces
• Coordinate systems that describe points on spheres, hyperspheres, and their projections
• Geometric constructions that connect oriented spheres, hypercones, and hypersurfaces in multiple dimensions
• Worked exercises and references that reinforce methods for exploring n‑dimensional geometry

Ideal for readers seeking a rigorous, projective approach to higher geometry and its applications in multiple dimensions.

Edition details

• Publisher: Forgotten Books
• Publication date: 2019
• Language: English
• ISBN 10: 0265793661
• ISBN 13: 9780265793664
• Binding: Hardcover
• Number of pages: 435