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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
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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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The Mathematical Theory of the Top (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: New. Print on Demand. This book offers a novel approach to understanding the complex world of dynamics, specifically the motion of a top, by drawing on the powerful tools of the theory of functions of a complex variable. The author masterfully weaves together geometry and dynamics, exploring how the motion of a rotating body can be represented through the lens of complex parameters and their transformations. The work builds upon the foundational contributions of Lagrange and Jacobi, showcasing how the introduction of elliptic functions and, importantly, the authorââ â¢s innovative use of Riemannââ â¢s theory of conformal representation, can illuminate the intricate relationship between time and the topââ â¢s motion in unprecedented ways. The authorââ â¢s exploration of the topââ â¢s motion within the context of non-Euclidean geometry reveals deeper insights into the nature of its movement and provides a more comprehensive and elegant framework for understanding this classic dynamical problem. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330870730_0
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The Mathematical Theory of the Top
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330870730
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The Mathematical Theory of the Top
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330870730
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