| Description |
1 online resource (xi, 473 pages) : illustrations |
| Series |
Springer undergraduate mathematics series, 1615-2085 |
|
Springer undergraduate mathematics series.
|
| Contents |
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 |
| Summary |
"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 |
| Analysis |
wiskunde |
|
mathematics |
|
differentiaalmeetkunde |
|
differential geometry |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Notes |
Includes index |
|
Print version record |
| Subject |
Geometry, Differential.
|
|
Geometría diferencial
|
|
Geometry, Differential
|
|
Differentialgeometrie
|
| Genre/Form |
Lehrbuch.
|
| Form |
Electronic book
|
| ISBN |
9781848828919 |
|
1848828918 |
|
