Quartic Surfaces: With Singular Points (Classic Reprint)

C. M. Jessop

ISBN 10: 1331949076 / ISBN 13: 9781331949077

Verlag: Forgotten Books, 2018

Beschreibung

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.

Bestandsnummer des Verkäufers 9781331949077_0

Bibliografische Details

• Titel: Quartic Surfaces: With Singular Points (Classic Reprint)
• Verlag: Forgotten Books
• Erscheinungsjahr: 2018
• Sprache: Englisch
• ISBN-10: 1331949076
• ISBN-13: 9781331949077
• Einband: Paperback
• Zustand: New
• Buchtyp: print-on-demand item
• Verkäuferkataloge:
  • Geometry

Über diesen Titel

Inhaltsangabe

Excerpt from Quartic Surfaces: With Singular Points

A surface which would naturally take a prominent position in such a book is the Kummer surface, together with its special forms, the tetrahedroid and the wave surface, but the admirable work written by the late R. W. H. T. Hudson, entitled Kummer's Quartic Surface, renders unnecessary the inclusion of this subject.

About the Publisher

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.