Karl Friedrich Gauss

General Investigations of Curved Surfaces

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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 &quote;Theorema Egregium.&quote; It consists of his penetrating definition of the concept of surface curvature and the theorem that the &quote;Gauss curvature&quote; 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.
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662 printed pages
Publication year
2013
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