CRC Press - Differential Geometry and Topology of Curves

Explore the evolving field of modern mathematics with Differential Geometry and Topology of Curves from CRC Press. This volume provides a classical approach to the geometry of curves, covering essential topics such as the theory of curves within n-dimensional Euclidean space. Readers will examine specific investigations into special classes of curves and learn the working methods used to establish conditions for closed polygonal curves. The text also includes the proof of the Bakel-Werner theorem regarding boundedness conditions for curves with periodic curvature and torsion. Designed for students and professionals in engineering physics and mathematics, this book connects historical progress with modern theory by highlighting the contributions of great geometers from the past and present. It serves as a comprehensive resource for understanding the fundamental principles of curve geometry.