Elementary differential geometry
Material type:
TextSeries: Springer undergraduate mathematics seriesPublication details: New York : Springer, 2010. Edition: 2nd editionDescription: xi, 473 pages : illustrations ; 24 cmISBN: 9781447175551Subject(s): Geometry, Differential | Curves and surfaces | Euclidean geometry | Gaussian curvature | Gauss–Bonnet theorem | GeometryDDC classification: 514.7 Online resources: Electronic version | Table of contents | Reviews Summary: 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.
New features of this revised and expanded second edition include:
a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.
Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
NBHM Books
|
SMS Library | 514.7 PRE-E (Browse shelf(Opens below)) | Available | N475 |
Browsing SMS Library shelves Close shelf browser (Hides shelf browser)
| 514.7 NIC-L Lectures on the geometry of manifolds | 514.7 PET-R Riemannian geometry | 514.7 PRE-E Elementary differential geometry | 514.7 PRE-E Elementary differential geometry | 514.7 SHA-D Differential geometry: cartan's generalization of klein's erlangen program | 514.7 STE-L Lectures on differential geometry | 514.7 TU-D Differential geometry : connections, curvature, and characteristic classes |
Includes index
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.
New features of this revised and expanded second edition include:
a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.
Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com
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