This rigorously written ebook is an creation to the attractive rules and result of differential geometry. the 1st part covers the geometry of curves and surfaces, which supply a lot of the inducement and instinct for the overall thought. the second one half reports the geometry of normal manifolds, with specific emphasis on connections and curvature. The textual content is illustrated with many figures and examples. the necessities are undergraduate research and linear algebra. This new version offers many developments, together with extra figures and workouts, and--as a brand new feature--a sturdy variety of strategies to chose routines.
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