Elementary Differential Geometry
Seiten
2010
|
2nd ed. 2010
Springer London Ltd (Verlag)
978-1-84882-890-2 (ISBN)
Springer London Ltd (Verlag)
978-1-84882-890-2 (ISBN)
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
ul
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
ul
Andrew Pressley is Professor of Mathematics at King’s College London, UK.
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.
| Erscheint lt. Verlag | 18.3.2010 |
|---|---|
| Reihe/Serie | Springer Undergraduate Mathematics Series |
| Zusatzinfo | 150 Illustrations, black and white; XII, 474 p. 150 illus. |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 1-84882-890-X / 184882890X |
| ISBN-13 | 978-1-84882-890-2 / 9781848828902 |
| Zustand | Neuware |
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