Lectures on the Differential Geometry of Curves and Surfaces (Classic Reprint) - Hardcover

A. R. Forsyth

Hardcover

ISBN 10: 0484565230 ISBN 13: 9780484565233

Publisher: Forgotten Books, 2018

Synopsis

Explore the geometry of space through the language of curves and surfaces.

This classic text leads you into the theory of congruences of curves, focal points, and the role of tangent and normal surfaces. It shows how spherical representations and tangential coordinates illuminate the shape of space, with careful development of core ideas and methods.

This edition develops the analytical tools behind differential geometry, including how families of curves interact with surfaces, the meaning of focal surfaces, and the way asymptotic and lines of curvature reveal underlying structure. It emphasizes both foundational concepts and their practical calculations, offering a rigorous path from definitions to deeper theorems.

• Learn how to describe space with two independent parameters and how curves with fixed directions form congruences
• See how focal points and focal surfaces arise from simple systems of equations
• Understand tangential coordinates and their use in representing surfaces
• Discover how spherical representation provides a powerful lens for studying surfaces and curves

Ideal for readers of advanced geometry and those studying the differential geometry of curves and surfaces, seeking a thorough, methodical treatment that builds intuition and technique.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0484565230
• ISBN 13: 9780484565233
• Binding: Hardcover
• Number of pages: 556