| 期刊全称 | A Geometric Approach to Differential Forms | | 影响因子2023 | David Bachman | | 视频video | http://file.papertrans.cn/141/140871/140871.mp4 | | 发行地址 | The second edition includes two additional chapters, focusing on the more advanced topics of the book.Presents differential forms from a geometric perspective accessible at the sophomore undergraduate | | 图书封面 |  | | 影响因子 | .The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually..Each new concept is presented with a natural picture that students can easily grasp; algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions..The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. The work is suitable for use as the primary textbook for a sophomore-level class in vector calculus, as well as for more upper-level courses in differential topology and differential geometry. . | | Pindex | Textbook 2012Latest edition |
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