This carefully written book is an introduction to the beautiful
ideas and results of differential geometry. The first half covers
the geometry of curves and surfaces, which provide much of the
motivation and intuition for the general theory. The second part
studies the geometry of general manifolds, with particular emphasis
on connections and curvature. The text is illustrated with many
figures and examples. The prerequisites are undergraduate analysis
and linear algebra. This new edition provides many advancements,
including more figures and exercises, and--as a new feature--a good
number of solutions to selected exercises.
General
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