| 期刊全稱 | A Geometric Approach to Differential Forms | | 影響因子2023 | David Bachman | | 視頻video | http://file.papertrans.cn/141/140872/140872.mp4 | | 發(fā)行地址 | Presents differential forms from a geometric perspective accessible at the sophomore undergraduate level.Each new concept is presented with a natural picture that students can easily grasp; algebraic | | 圖書封面 |  | | 影響因子 | .The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. 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. A centerpiece of the text is the generalized Stokes‘ theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember...The text is designed to support three distinct course tracks: the first a | | Pindex | Textbook 20061st edition |
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