The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.
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排版和邏輯組織有點清新的感覺，第一章選用希爾伯特的幾何基礎的邏輯來開頭，第二第三章顯得有些簡譜瞭
评分排版和邏輯組織有點清新的感覺，第一章選用希爾伯特的幾何基礎的邏輯來開頭，第二第三章顯得有些簡譜瞭
评分not clear enough, only definition and some theoretical calculating, bad if you are sleepy
评分作者錶達能力是有多差。。。。。。
评分排版和邏輯組織有點清新的感覺，第一章選用希爾伯特的幾何基礎的邏輯來開頭，第二第三章顯得有些簡譜瞭
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