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<図書>
General investigations of curved surfaces

責任表示 Carl Friedrich Gauss ; edited with a new introduction and notes by Peter Pesic
データ種別 図書
出版情報 Mineola, N.Y. : Dover Publications , 2005
本文言語 英語
大きさ xiii, 130 p. ; 24 cm
概要 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 ...nd 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. Book jacket.続きを見る

所蔵情報


pbk. 中分セ 研究室 414.7/G 27 2005
095212006000092

書誌詳細

別書名 原タイトル:General investigations of curved surfaces of 1827 and 1825
一般注記 Originally published: General investigations of curved surfaces of 1827 and 1825. [Princeton] : Princeton University Library, 1902
Includes bibliographical references
著者標目 *Gauss, Carl Friedrich, 1777-1855
Pesic, Peter
件 名 LCSH:Surfaces
分 類 LCC:QA641
DC22:516.3/6
書誌ID 1001285614
ISBN 048644645X
NCID BA74955342
巻冊次 pbk. ; ISBN:048644645X
登録日 2009.09.18
更新日 2009.09.18

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