Synopsis
This book is a comprehensive guide to quartic surfaces with isolated singular points, providing a classication of these surfaces based on the number of nodes they possess, from four to sixteen. The author, an expert in the field, draws on the results of Cayley and Rohn to establish a method of classication for surfaces with more than seven nodes. This classication is based on the properties of a type of seven-nodal plane sextic curves. The book also delves into the fascinating properties of the desmic surface, a surface with nodes but no nodal curves. It explores the relationship between the desmic surface and a system of three desmic tetrahedra, and discusses the sixteen conics that lie on the surface. Additional chapters cover quartic surfaces with a double conic, a nodal conic and additional nodes, the cyclide, surfaces with a double line, and rational quartic surfaces. The book concludes with an examination of determinant surfaces, including the symmetroid and Weddles surface. This book will be of great interest to mathematicians and geometers, providing them with a comprehensive resource on quartic surfaces with isolated singular points.
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Book Description
Originally published in 1916, this book was written to provide readers with a concise account of the leading properties of quartic surfaces possessing nodes or nodal curves. A brief summary of the leading results discussed in the book is included in the form of an introduction.
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Quartic Surfaces: With Singular Points (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book is a comprehensive guide to quartic surfaces with isolated singular points, providing a classication of these surfaces based on the number of nodes they possess, from four to sixteen. The author, an expert in the field, draws on the results of Cayley and Rohn to establish a method of classication for surfaces with more than seven nodes. This classication is based on the properties of a type of seven-nodal plane sextic curves. The book also delves into the fascinating properties of the desmic surface, a surface with nodes but no nodal curves. It explores the relationship between the desmic surface and a system of three desmic tetrahedra, and discusses the sixteen conics that lie on the surface. Additional chapters cover quartic surfaces with a double conic, a nodal conic and additional nodes, the cyclide, surfaces with a double line, and rational quartic surfaces. The book concludes with an examination of determinant surfaces, including the symmetroid and Weddles surface. This book will be of great interest to mathematicians and geometers, providing them with a comprehensive resource on quartic surfaces with isolated singular points. 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 # 9781331949077_0
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Quartic Surfaces With Singular Points Classic Reprint
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