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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