الفهرس الالي للمكتبة المركزية بجامعة عبد الحميد بن باديس - مستغانم
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Titre : |
Elementary topics in differential geometry |
Type de document : |
texte imprimé |
Auteurs : |
John A. Thorpe, Auteur |
Editeur : |
New York : Springer |
Année de publication : |
cop. 1979 |
Collection : |
Undergraduate texts in mathematics, ISSN 0172-6056 |
Importance : |
1 vol. (XIII-253 p.) |
Présentation : |
fig., couv. ill. |
Format : |
24 cm |
ISBN/ISSN/EAN : |
978-0-387-90357-6 |
Prix : |
256 FRF |
Langues : |
Anglais (eng) |
Mots-clés : |
graphs and level sets - the tangent space - the gauss map |
Index. décimale : |
53-01 |
Résumé : |
This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level. |
Elementary topics in differential geometry [texte imprimé] / John A. Thorpe, Auteur . - New York : Springer, cop. 1979 . - 1 vol. (XIII-253 p.) : fig., couv. ill. ; 24 cm. - ( Undergraduate texts in mathematics, ISSN 0172-6056) . ISBN : 978-0-387-90357-6 : 256 FRF Langues : Anglais ( eng)
Mots-clés : |
graphs and level sets - the tangent space - the gauss map |
Index. décimale : |
53-01 |
Résumé : |
This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level. |
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f2-004777 | 516-064.2 | Ouvrage | Bibliothèque Centrale | 500 - Sciences de la nature et Mathématiques | Disponible |
CF2-003539 | 516-64.1 | Ouvrage | Bibliothèque Centrale | 500 - Sciences de la nature et Mathématiques | Exclu du prêt |