| 期刊全稱 | A Differential Approach to Geometry | | 期刊簡稱 | Geometric Trilogy II | | 影響因子2023 | Francis Borceux | | 視頻video | http://file.papertrans.cn/141/140681/140681.mp4 | | 發(fā)行地址 | Pays particular attention to historical development and preliminary approaches that support the contemporary geometrical notions.Links classical surface theory in the three dimensional real space to m | | 圖書封面 |  | | 影響因子 | .This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students..At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincaré characteristics) associated with a surface gives you a lot of interesting information on the sha | | Pindex | Book 2014 |
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