Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Pressley, Andrew (19..-.... ; mathématicien)
Titre(s) : Elementary differential geometry [Texte électronique] / Andrew Pressley
Édition : 2nd ed.
Publication : London ; New York : Springer, cop. 2010
Description matérielle : 1 ressource dématérialisée
Collection : Springer undergraduate mathematics series
Note(s) : Includes index
"Curves and surfaces are objects that everyone can see, and many of the questions
that can be asked about them are natural and easily understood. Differential geometry
is concerned with the precise mathematical formulation of some of these questions.
It is a subject that contains some of the most beautiful and profound results in mathematics
yet many of these are accessible to higher-level undergraduates." "Elementary Differential
Geometry presents the main results in the differential geometry of curves and surfaces
suitable for a first course on the subject. Prerequisites are kept to an absolute
minimum - nothing beyond first courses in linear algebra and multivariable calculus
- and the most direct and straightforward approach is used throughout."--Jacket
Sujet(s) : Géométrie différentielle
Genre ou forme : Manuels d'enseignement supérieur
Indice(s) Dewey :
516.36 (23e éd.) = Géométrie différentielle et géométrie intégrale
Identifiants, prix et caractéristiques : ISBN 9781848828919
Identifiant de la notice : ark:/12148/cb44671904m
Notice n° :
FRBNF44671904
(notice reprise d'un réservoir extérieur)
Table des matières : Curves in the plane and in space ; How much does a curve curve? ; Global properties
of curves ; Surfaces in three dimensions ; Examples of surfaces ; The first fundamental
form ; Curvature of surfaces ; Gaussian, mean and principal curvatures ; Geodesics
; Gauss' Theorema Egregium ; Hyperbolic geometry ; Minimal surfaces ; The Gauss-Bonnet
theorem.
