Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential f...(展开全部)

Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential f...(展开全部)

Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential f...(展开全部)

Since the times of Gauss, Riemann, and Poincaré, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching ...(展开全部)

Since the times of Gauss, Riemann, and Poincaré, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching ...(展开全部)

阿绍卡·莫迪，普林斯顿大学伍德罗·威尔逊公共与国际事务学院教授（Charles and Marie Robertson Visiting Professor）。此前，他曾担任国际货币基金组织（IMF）研究部和欧洲部的代理主任。他也在世界银行、宾夕法尼亚大学和贝尔实验室工作过。莫迪在有关发展和金融项目及政策方面，为世界多个国家的政府提供建言，同时也在多个领域发表过政策和学术论文。 译者：王剑鹰，美国密苏里大学政治学博士。在中西方接受了完整而扎实的社会科学训练，主要从事学术翻译及写作。在法学、社会学及政治学等领域均有作品。

This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that ...(展开全部)