Download e-book for kindle: Elementary Differential Geometry by Christian Bär

By Christian Bär

The hyperlink among the actual international and its visualization is geometry. This easy-to-read, generously illustrated textbook offers an undemanding advent to differential geometry with emphasis on geometric effects. keeping off formalism up to attainable, the writer harnesses simple mathematical abilities in research and linear algebra to resolve fascinating geometric difficulties, which arrange scholars for extra complex examine in arithmetic and different clinical fields akin to physics and computing device technological know-how. the wide variety of issues contains curve conception, a close learn of surfaces, curvature, version of zone and minimum surfaces, geodesics, round and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The part on cartography demonstrates the concrete significance of basic differential geometry in purposes. in actual fact built arguments and proofs, color illustrations, and over a hundred workouts and suggestions make this ebook perfect for classes and self-study. the single necessities are twelve months of undergraduate calculus and linear algebra.

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