Elementary Differential Geometry
- Paperback | 474 pages
- 154.94 x 228.6 x 33.02mm | 635.03g
- 01 Sep 2010
- Springer London Ltd
- England, United Kingdom
- 2nd ed. 2010
- 150 Illustrations, black and white; XII, 474 p. 150 illus.
Other books in this series
02 Feb 2000
01 Sep 2010
01 Aug 2004
26 Jul 2000
01 Dec 2007
07 Sep 2011
14 Apr 2014
01 Nov 1999
15 Nov 2015
About A.N. Pressley
Back cover copy
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
Praise for the first edition:
"The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly...this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure."
Australian Mathematical Society Gazette
"Excellent figures supplement a good account, sprinkled with illustrative examples."
Times Higher Education Supplement
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