General Investigations of Curved Surfaces: Edited with an by Karl Friedrich Gauss,Peter Pesic,Adam Hiltebeitel,James PDF

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

Gauss's thought of surfaces is likely one of the simply mathematical achievements encouraged by means of principles that arose in reference to surveys of the outside of the earth. lengthy considered as a masterpiece in content material and shape, this paintings gains one of many author's most unusual contributions to mathematics--the discovery that Gauss termed the "Theorema Egregium." It involves his penetrating definition of the concept that of floor curvature and the concept that the "Gauss curvature" is invariant less than arbitrary isometric deformation of a curved floor. The profound results of those recommendations have been quickly generalized through Bernhard Riemann, and next improvement integrated the $64000 position of the Gauss-Riemann suggestion of curvature in smooth relativity theory.
This variation of Gauss's vintage paintings includes a new creation, bibliography, and notes by way of technology historian Peter Pesic. moreover, an informative appendix bargains ancient background.

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General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic (Dover Books on Mathematics) by Karl Friedrich Gauss,Peter Pesic,Adam Hiltebeitel,James Morehead


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