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

Felix Klein

9781330870730: The Mathematical Theory of the Top (Classic Reprint): Lectures Delivered on the Occasion of the Sesquicentennial Celebration of Princeton University

Couverture souple

ISBN 10 : 1330870735 ISBN 13 : 9781330870730

Editeur : Forgotten Books, 2018

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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

Ideal for readers of advanced geometry, classical mechanics, and mathematical physics who enjoy a rigorous, visually grounded approach to motion.

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Pr�sentation de l'�diteur

My object in presenting it, however, is more general than that of throwing light on a particular class of problems in dynamics. I wish by an illustration which may fairly be regarded as representative to make evident the advantage which is to be gained by dynamics and astronomical and physical science in general from a more intimate association with the modern pure mathematics, the theory of functions especially. I venture to hope, therefore, that my lectures may interest engineers, physicists, and astronomers as well as mathematicians.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1330870735
ISBN 13: 9781330870730
Reliure: Broch�
Nombre de pages: 82
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The Mathematical Theory of the Top (Classic Reprint)

Felix Klein

Edit� par Forgotten Books, 2018

ISBN 10 : 1330870735 ISBN 13 : 9781330870730

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : 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 authorâ� �s innovative use of Riemannâ� �s theory of conformal representation, can illuminate the intricate relationship between time and the topâ� �s motion in unprecedented ways. The authorâ� �s exploration of the topâ� �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. N� de r�f. du vendeur 9781330870730_0

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