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General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic

General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic

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

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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.

Republication of the Princeton, 1902 edition, with a new introduction and notes by Peter Pesic.
AvailabilityUsually ships in 24 to 48 hours
ISBN 10048644645X
ISBN 139780486446455
Author/EditorJames Morehead, Karl Friedrich Gauss, Peter Pesic, Adam Hiltebeitel
Page Count144
Dimensions6 1/2 x 9 1/4

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