The Mathematical Theory of the Top (Classic Reprint): Lectures Delivered on the Occasion of the Sesquicentennial Celebration of Princeton University: ... of Princeton University (Classic Reprint) - Softcover

Inhaltsangabe

Explore the geometry of a spinning top through elliptic curves, geometry, and motion

This book offers a unified geometric and analytic view of rigid-body rotation around a fixed point. It introduces fresh ways to describe the top’s motion, using new parameters that highlight the role of gravity and symmetry in dynamics. The text blends visuals and formulas to show how rotation can be understood with geometric objects like polhodes and herpolhodes, and how these curves relate to well-known motions. It connects classical ideas with modern concepts such as elliptic functions and automorphic functions, offering a cohesive path from basic setup to advanced representations.

• New parameter systems that simplify the equations of motion and reveal structure beyond standard methods
• Geometric descriptions of the polhode and herpolhode as elliptic curves
• Links between the motion of the top and Poinsot motions, with a geometric viewpoint
• Introduction to automorphic functions and their role in expressing complex-time motion

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