Elementary Differential Geometry by Christian Bär

By Christian Bär

The hyperlink among the actual global and its visualization is geometry. This easy-to-read, generously illustrated textbook provides an uncomplicated advent to differential geometry with emphasis on geometric effects. heading off formalism up to attainable, the writer harnesses uncomplicated mathematical talents in research and linear algebra to unravel fascinating geometric difficulties, which arrange scholars for extra complicated research in arithmetic and different medical fields comparable to physics and desktop technology. the big variety of subject matters contains curve idea, an in depth examine of surfaces, curvature, edition of sector 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 straight forward differential geometry in purposes. truly built arguments and proofs, color illustrations, and over a hundred routines and suggestions make this publication perfect for classes and self-study. the single must haves are twelve months of undergraduate calculus and linear algebra.

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