General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic (Dover Books on Mathematics)

Karl Friedrich Gauss, Adam Hiltebeitel, James Morehead, Peter Pesic

ISBN 10: 048644645X / ISBN 13: 9780486446455

Published by Dover Publications, 2005

About this Item

144 pp., Paperback, very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

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Bibliographic Details

• Title: General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2005
• Language: English
• ISBN 10: 048644645X
• ISBN 13: 9780486446455
• Binding: Soft cover
• Condition: Very Good

About this title

Synopsis

Gauss's theory of surfaces is among the purely mathematical achievements inspired by ideas that arose in connection with surveys of the surface of the earth. Long regarded as a masterpiece in content and form, this work features one of the author's most original contributions to mathematics--the discovery that Gauss termed the "Theorema Egregium." It consists of his penetrating definition of the concept of surface curvature and the theorem that the "Gauss curvature" is invariant under arbitrary isometric deformation of a curved surface. The profound effects of these concepts were soon generalized by Bernhard Riemann, and subsequent development included the important role of the Gauss-Riemann concept of curvature in modern relativity theory.
This edition of Gauss's classic work features a new introduction, bibliography, and notes by science historian Peter Pesic. In addition, an informative appendix offers historical background.