Disquisitiones generales circa superficies curvas.: GAUSS, Carl Friedrich Disquisitiones generales circa superficies curvas.: GAUSS, Carl Friedrich

Disquisitiones generales circa superficies curvas.

GAUSS, Carl Friedrich

Published by Dieterich, Göttingen, 1828
Condition: Very Good Soft cover
From Milestones of Science Books (Ritterhude, Germany)

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Offprint from: Commentattones Societatis Regiae Scientiarum Gottingensis 6. 4to (258x207 mm). [1-3], 4-50 pp. Original plain wrappers, upper wrapper titled in manuscript (spine repaired). Title- and first 3 leaves heavily foxed, otherwise clean with only minor spotting. Provenance: Friedländer & Sohn, Berlin (ink stamp to inner upper wrapper). ---- Norman 880; DSB V, p.304; Stanitz 67. - FIRST EDITION, rare offprint issue of Gauss' definitive treatment of the differential geometry of surfaces lying in three-dimensional space. "It also advanced the radical concept that a surface is a space in itself-a concept implicating the existence of a non-Euclidean geometry" (Norman). Gauss believed this work anticipated Bolyai's work, and it is considered a precursor of non-Eucidean geometry. "The crowning contribution of the period, and his last breakthrough in a major new direction of mathematical research was Disquisitiones generales circa superficies curvas (1828), which grew out of his geodesic meditations of three decades and was the seed of more than a century of work on differential geometry" (DSB). "The surface theory of Gauss was strongly influenced by Gauss¿ work as a surveyor. Under great physical pains, Gauss worked from 1821 to 1825 as a land surveyor in the kingdom of Hannover ¿ Finally on October 8, 1827 Gauss presented the general surface theory. The title of the paper was Disquisitiones generales circa superficies curvas (Investigations about curved surfaces). The most important result of this masterpiece in the mathematical literature is the theorema egregium ¿ the egregious theorem ¿ Gauss¿ theorema egregium had an enormous impact on the development of modern differential geometry and modern physics culminating in the principle 'force equals curvature'. This principle is basic for both Einstein's theory of general relativity on gravitation and the Standard Model in elementary particle physics" (Zeidler, Quantum Field theory III, pp. 15-19). Bookseller Inventory # 002084

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Title: Disquisitiones generales circa superficies ...

Publisher: Dieterich, Göttingen

Publication Date: 1828

Binding: Soft cover

Book Condition:Very Good

Edition: 1st Edition

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