Synopsis
Excerpt from Lectures on the Differential Geometry of Curves and Surfaces
The book concludes with a single chapter that contains an introduction to the elementary theory of congruences of curves.
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Lectures on the Differential Geometry of Curves and Surfaces (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the intricate world of differential geometry, specifically focusing on the properties of curves and surfaces in three-dimensional Euclidean space. It presents a comprehensive exploration of fundamental concepts, including tangents, normals, curvature, and torsion of curves, as well as the geometric characteristics of surfaces such as lines of curvature, geodesics, and minimal surfaces. Grounded in classical mathematical analysis, the author guides readers through the intricacies of these geometric entities. The book offers a rigorous yet accessible treatment of the subject, drawing upon the works of renowned mathematicians like Gauss and Darboux. It covers a wide range of topics, from the basic properties of skew curves to the advanced theory of congruences and triply orthogonal systems. The book's thematic depth lies in its exploration of the interplay between curves and surfaces, highlighting the organic connections and differential invariants that govern their relationships. It delves into the intrinsic properties of these geometric objects, independent of their specific positions or orientations in space. Through its insightful analysis, this book reveals the profound elegance and underlying unity within the realm of differential geometry, demonstrating how seemingly disparate geometric concepts are intricately interwoven and governed by fundamental mathematical principles. 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. Seller Inventory # 9781330115459_0
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Lectures on the Differential Geometry of Curves and Surfaces Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330115459
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Lectures on the Differential Geometry of Curves and Surfaces Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330115459